Matrix elements of one-body and two-body operators between arbitrary HFB multi-quasiparticle states

TL;DR

This paper introduces new compact formulae for calculating matrix elements of one-body and two-body operators between arbitrary HFB multi-quasiparticle states, significantly improving computational efficiency in nuclear physics applications.

Contribution

The authors develop and validate new formulae for matrix elements in HFB states, enhancing computational speed for symmetry restoration in heavy nuclei.

Findings

Formulae are applicable to arbitrary HFB states.

Test calculations show substantial acceleration in symmetry restoration.

Method improves efficiency in heavy nuclear system computations.

Abstract

We present new formulae for the matrix elements of one-body and two-body physical operators in compact forms, which are applicable to arbitrary Hartree-Fock-Bogoliubov wave functions, including those for multi-quasiparticle excitations. The test calculations show that our formulae may substantially accelerate the process of symmetry restoration when applied to the heavy nuclear system.