Validity of Born Approximation for Nuclear Scattering in Path Integral Representation

Abstract

The first and second Born approximation are studied with the path integral representation for $\mathcal{T}$ matrix. The $\mathcal{T}$ 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.

References in corpus (5)

• Toward a global description of the nucleus-nucleus interaction
• One-Loop Renormalization of Lee-Wick Gauge Theory
• Nucleon-nucleus real potential of Woods-Saxon shape between -60 and +60 MeV for the 40<A<208 nuclei
• Path Integrals for Potential Scattering
• Functional integral over velocities for a spinning particle with and without anomalous magnetic moment in a constant electromagnetic field

Cited by in corpus (1)

• Laser assisted proton collision on light nuclei at moderate energies