JM-ECS: A hybrid method combining the $J$-matrix and ECS methods for scattering calculations

TL;DR

This paper introduces a hybrid computational approach combining the J-matrix and ECS methods to improve scattering calculations, validated on model equations and nuclear p-shell scattering.

Contribution

It presents a novel hybrid method that integrates the J-matrix and ECS techniques for more accurate and efficient scattering computations.

Findings

Successfully validated on 1D and 2D model equations.

Effectively computes nuclear p-shell scattering.

Demonstrates improved boundary handling in scattering simulations.

Abstract

The paper proposes a hybrid method for calculating scattering processes that combines the $J$-matrix method with exterior complex scaling as an absorbing boundary condition. It represents the wave function as a finite sum of oscillator eigenstates in the inner region and on grid in the outer region. The method is validated for one and two dimensional model partial wave equation equations. Finally, the method calculates nuclear $p$-shell scattering.