Validity of Born Approximation for Nuclear Scattering in Path Integral Representation

2009/07/01 by M. R. Pahlavani, Pahlavani, M. R., R. Morad +1
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Crystallography and Radiation Phenomena #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #nucl-th

paper · pdf · doi:10.48550/arxiv.0907.0115

arxiv created 2009/07/01 · openalex publication_date 2009/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The first and second Born approximation are studied with the path integral representation for \cal T matrix. The \cal T matrix is calculated for Woods-Saxon potential scattering. To make corresponding integrals solvable analytically, an approximate function for the Woods-Saxon potential is used. Finally it shown that the Born series is converge at high energies and orders higher than two in Born approximation series can be neglected.

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