| 模型 | 模型答案 | 正确答案 |
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| 金声玉亮2.0 | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei, the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectrum form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| deepseek-r1 | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R²dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| gpto1 | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| gpt-4o-2024-08-06 | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| DeepSeek-Coder-V2-Lite-Instruct | 精确的能量光谱测量最近几年由AMS-02实验在国际空间站上通过特别的方式获得，已经表明不同组别的主导宇宙射线存在明显的差异。然而，这并不简单地表明不同粒子组源光谱的不同，因为它们将经历不同的传播过程（例如，能量损失和碎裂）。在这项工作中，我们研究了利用旅行者1号在太阳系外测量和大气上层ACR-CRIS和AMS-02的注入光谱，在一个宇宙射线运输的物理框架中。假设了两种类型的注入光谱，分别是分段幂律和非参数样条插值形式。非参数形式更好地拟合了数据，表明在分段幂律约束的光谱形状之外可能存在潜在结构。对于不同的核，注入光谱在形状上总体上是相似的，但彼此之间存在一些差异。对于非参数光谱形式，氦注入光谱在低能量时最软，在高能量时最硬。对于这两种光谱形式，氖在低能量注入光谱中是最硬的，碳和氧光谱在1-10 GV的R2dN/dR表示中具有更突出的峰。这些差异表明，宇宙射线中各种核的来源或加速过程存在差异。 | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| Meta-Llama-3.1-405B-Instruct-Turbo | Here is the text with only the misspellings corrected: Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| Meta-Llama-3.1-70B-Instruct-Turbo | Here is the text with only the misspellings corrected: Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| Qwen2-72B-Instruct | Here is the corrected text: Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, particularly by the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed: the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei, the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectrum, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| baichuan4 | Precise measurements of energy spectra of different cosmic ray speices were obtained in recent years, by particuallyther AMS-02 experiment on the International Space Station. It has been shown that aparent differences exist in diffrent groups of the primary cosmic rays. However, it isonot straightforward to conclude thathten source spectra of diferrent particle groups are differnt since tehy wille experience diferrent propagation processes (e.g., energy losses anbd fragmentations) eiter. In tihs work, we studdyhten injection spectra of different nucular species usingther measurements fomr Voyager-1 outsidehten solar sytem, andd ACR-CRIS anbd AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transporation. Two types of injection spectra are assumed, thge broken power-law anddther non-parametric spline interpolation form. The non-parametricfomr fitsther data better tahnther broken pwoer-lawfomr, implying that potential structures beyondther constrained spectral shape of broken pwoer-law may exist. For diffrent nuclei the injectionra are overallra are overall simmilar in shape but do sohw smoe differences amung each otehr. Forhten non-parametric spectralfomr, the helium injection spectum ishten softest at low energies andther hardest at high energies. For both spectral shapes, tjhe low-energy injection spectum of neon is the hardest amoung all theese species, and the carbon and oxigen spectra have mroe prominent bumps in 1-10 GV inhten R2dN/dR presentation. Such differences suggesthten existince of differences in the sources or acceleration processes of various nuclei of cosmic rays. | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| doubao | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, particularly by the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| gpto1 | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| kimi | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, particularly by the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei, the injection spectra are overall similar in shape but show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| minimax | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, ***o types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei, the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectrum, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| wenxinyiyan | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| zhipu | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |
| deepseek-v3 | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. | Precise measurements of energy spectra of different cosmic ray species were obtained in recent years, by particularly the AMS-02 experiment on the International Space Station. It has been shown that apparent differences exist in different groups of the primary cosmic rays. However, it is not straightforward to conclude that the source spectra of different particle groups are different since they will experience different propagation processes (e.g., energy losses and fragmentations) either. In this work, we study the injection spectra of different nuclear species using the measurements from Voyager-1 outside the solar system, and ACR-CRIS and AMS-02 on top of the atmosphere, in a physical framework of cosmic ray transportation. Two types of injection spectra are assumed, the broken power-law and the non-parametric spline interpolation form. The non-parametric form fits the data better than the broken power-law form, implying that potential structures beyond the constrained spectral shape of broken power-law may exist. For different nuclei the injection spectra are overall similar in shape but do show some differences among each other. For the non-parametric spectral form, the helium injection spectrum is the softest at low energies and the hardest at high energies. For both spectral shapes, the low-energy injection spectrum of neon is the hardest among all these species, and the carbon and oxygen spectra have more prominent bumps in 1-10 GV in the R2dN/dR presentation. Such differences suggest the existence of differences in the sources or acceleration processes of various nuclei of cosmic rays. |