Test of the validity of the adiabatic approximation in scattering theory

Y. Avishai; A. S. Rinat Reiner

doi:10.1016/0370-2693(75)90430-X

Test of the validity of the adiabatic approximation in scattering theory

Y. Avishai, A. S. Rinat Reiner

Department of Physics

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4 Scopus citations

Abstract

Exact solutions for the scattering of a fast projectile x on deuterium are compared with various versions of the fixed scatterers approximation. The content of the approximations for a nucleon and a different projectile is discussed. The calculations show the approximate agreement of angular distributions in forward direction and the amount of disagreement in the backward hemisphere. In the case of nucleon scattering the importance of nucleon exchange, neglected in the FSA, is explicitly demonstrated. As expected, the quality of the tested approximations rapidly improves with diminishing mass ratio M_x/M_N.

Original language	English
Pages (from-to)	153-156
Number of pages	4
Journal	Physics Letters B
Volume	55
Issue number	2
DOIs	https://doi.org/10.1016/0370-2693(75)90430-X
State	Published - 3 Feb 1975

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(75)90430-X

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abstract = "Exact solutions for the scattering of a fast projectile x on deuterium are compared with various versions of the fixed scatterers approximation. The content of the approximations for a nucleon and a different projectile is discussed. The calculations show the approximate agreement of angular distributions in forward direction and the amount of disagreement in the backward hemisphere. In the case of nucleon scattering the importance of nucleon exchange, neglected in the FSA, is explicitly demonstrated. As expected, the quality of the tested approximations rapidly improves with diminishing mass ratio Mx/MN.",

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N2 - Exact solutions for the scattering of a fast projectile x on deuterium are compared with various versions of the fixed scatterers approximation. The content of the approximations for a nucleon and a different projectile is discussed. The calculations show the approximate agreement of angular distributions in forward direction and the amount of disagreement in the backward hemisphere. In the case of nucleon scattering the importance of nucleon exchange, neglected in the FSA, is explicitly demonstrated. As expected, the quality of the tested approximations rapidly improves with diminishing mass ratio Mx/MN.

AB - Exact solutions for the scattering of a fast projectile x on deuterium are compared with various versions of the fixed scatterers approximation. The content of the approximations for a nucleon and a different projectile is discussed. The calculations show the approximate agreement of angular distributions in forward direction and the amount of disagreement in the backward hemisphere. In the case of nucleon scattering the importance of nucleon exchange, neglected in the FSA, is explicitly demonstrated. As expected, the quality of the tested approximations rapidly improves with diminishing mass ratio Mx/MN.

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Test of the validity of the adiabatic approximation in scattering theory

Abstract

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