Simplified solutions of the Cox-Thompson inverse scattering method at fixed energy
Tamas Palmai, Miklos Horvath, Barnabas Apagyi
TL;DR
This paper introduces simplified solutions and approximate methods for the Cox-Thompson inverse scattering technique at fixed energy, focusing on cases with specific angular momentum contributions, enhancing applicability to general scattering scenarios.
Contribution
The paper derives simplified formulas for the Cox-Thompson method when only even or odd angular momenta are involved, and introduces new approximate methods for broader scattering cases.
Findings
Simplified formulas for specific angular momentum contributions.
New approximate methods applicable to generic scattering events.
Enhanced computational efficiency in inverse scattering calculations.
Abstract
Simplified solutions of the Cox-Thompson inverse quantum scattering method at fixed energy are derived if a finite number of partial waves with only even or odd angular momenta contribute to the scattering process. Based on new formulae various approximate methods are introduced which also prove applicable to the generic scattering events.
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