Document Type

Article

Publication Date

12-9-2014

Department

Physics and Astronomy

School

Mathematics and Natural Sciences

Abstract

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≤>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.

Comments

© American Physical Society (APS) "Elastic Differential Cross Sections For Space Radiation Applications". Physical Review C 90, 6 (2014)

Publication Title

Physical Review C - Nuclear Physics

Volume

90

Issue

6

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