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Elastic Differential Cross SectionsThe 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 less than or equal to 16) and the momentum-space 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.
Document ID
20150000586
Acquisition Source
Langley Research Center
Document Type
Technical Publication (TP)
Authors
Werneth, Charles M.
(NASA Langley Research Center Hampton, VA, United States)
Maung, Khin M.
(University of Southern Mississippi Hattiesburg, MS, United States)
Ford, William P.
(University of Southern Mississippi Hattiesburg, MS, United States)
Norbury, John W.
(NASA Langley Research Center Hampton, VA, United States)
Vera, Michael D.
(University of Southern Mississippi Hattiesburg, MS, United States)
Date Acquired
January 16, 2015
Publication Date
September 1, 2014
Subject Category
Space Radiation
Nuclear Physics
Report/Patent Number
NASA/TP-2014-218529
NF1676L-19490
L-20452
Funding Number(s)
WBS: WBS 651549.02.07.01
CONTRACT_GRANT: NNX13AH31A
Distribution Limits
Public
Copyright
Public Use Permitted.
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