Recursive calculation of matrix elements for the generalized seniority shell model

TL;DR

This paper introduces a recursive method for efficiently calculating matrix elements in the generalized seniority shell model, simplifying nuclear structure computations.

Contribution

It develops recurrence relations enabling straightforward and efficient computation of matrix elements and overlaps in the generalized seniority scheme.

Findings

Recurrence relations facilitate faster calculations.

Method improves computational efficiency for shell model matrix elements.

Applicable to one-body and two-body operators.

Abstract

A recursive calculational scheme is developed for matrix elements in the generalized seniority scheme for the nuclear shell model. Recurrence relations are derived which permit straightforward and efficient computation of matrix elements of one-body and two-body operators and basis state overlaps.