Two-body scattering without angular-momentum decomposition
M. Rodriguez-Gallardo, A. Deltuva, E. Cravo, R. Crespo, and A. C., Fonseca
TL;DR
This paper introduces a method for two-body scattering calculations in momentum space without angular-momentum decomposition, effectively handling Coulomb interactions through screening and renormalization, and validates it against traditional partial-wave methods.
Contribution
It presents a novel approach to two-body scattering that avoids angular-momentum decomposition, simplifying calculations involving Coulomb interactions.
Findings
Results agree with partial-wave calculations for benchmark cases.
Method effectively handles Coulomb interactions without angular-momentum decomposition.
Provides a new computational framework for scattering problems.
Abstract
Two-body scattering is studied by solving the Lippmann-Schwinger equation in momentum space without angular-momentum decomposition for a local spin dependent short range interaction plus Coulomb. The screening and renormalization approach is employed to treat the Coulomb interaction. Benchmark calculations are performed by comparing our procedure with partial-wave calculations in configuration space for p-10Be, p-16O and 12C-10Be elastic scattering, using a simple optical potential model.
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