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arXiv 1409.3510nucl-th
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空间辐射应用的弹性微分截面

Elastic Differential Cross Sections for Space Radiation Applications

Charles M. Werneth, Khin M. Maung, William P. Ford, John W. Norbury, Michael D. Vera

摘要:

对与空间辐射应用有关的核反应的程函、分波(PW)Lippmann-Schwinger和三维Lippmann-Schwinger(LS 3D)方法进行了比较。当光学势的精确公式用于轻核时(A $\le$ 16),光学势的动量空间表示用于重核时,程函法的数值收敛很容易实现。对于需要大量分波的系统,已知PW解方法在数值上不稳定,因此采用LS 3D方法。相对论运动学的影响与PW和LS 3D方法进行了研究,并与程函结果进行了比较。由于LS 3D方法的快速收敛性和稳定性,建议将其用于高能核子-核反应和所有能量的核-核反应。

英文摘要:

The eikonal, partial wave (PW) Lippmann-Schwinger, and three-dimensional Lippmann- Schwinger (LS3D) methods are compared for nuclear reactions that are relevant for space radiation applications. Numerical convergence of the eikonal method is readily achieved when exact formulas of the optical potential are used for light nuclei (A $\le$ 16), and the momentum-space representation of the optical potential is used for heavier nuclei. The PW solution method is known to be numerically unstable for systems that require a large number of partial waves, and, as a result, the LS3D method is employed. The effect of relativistic kinematics is studied with the PW and LS3D methods and is compared to eikonal results. It is recommended that the LS3D method be used for high energy nucleon-nucleus reactions and nucleus-nucleus reactions at all energies because of its rapid numerical convergence and stability.

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