Efficient method to perform quantum number projection and configuration mixing for most general mean-field states

TL;DR

This paper introduces an efficient, reliable method for quantum number projection and configuration mixing applicable to general mean-field states, enabling complex nuclear structure calculations with large basis sets.

Contribution

It presents a novel technique combining multiple methods to perform quantum number projection and configuration mixing for general mean-field states without symmetry restrictions.

Findings

Successfully applied to parity, number, and angular-momentum projection.

Demonstrated on cranked Woods-Saxon mean-field states with large basis.

Achieved reliable results with high computational efficiency.

Abstract

Combining several techniques, we propose an efficient and numerically reliable method to perform the quantum number projection and configuration mixing for most general mean-field states, i.e., the Hartree-Fock-Bogoliubov (HFB) type product states without symmetry restrictions. As for example of calculations, we show the results of the simultaneous parity, number and angular-momentum projection from HFB type states generated from the cranked Woods-Saxon mean-field with a very large basis that is composed of Nmax=20 spherical harmonic oscillator shells.