Angular momentum projected multi-cranked configuration mixing for reliable calculation of high-spin rotational bands

TL;DR

This paper introduces a method combining angular momentum projection with multi-cranked configuration mixing to accurately compute high-spin rotational bands in nuclei, demonstrating its effectiveness with Gogny D1S interactions.

Contribution

It develops a novel approach that superposes multiple cranked mean-field states with angular momentum projection, improving the reliability of high-spin nuclear rotation calculations.

Findings

Spectrum independence from cranking frequency sets with sufficient states

Effective for studying high-spin rotational bands

Applicable with Gogny D1S interaction

Abstract

By employing the angular momentum projection technique we propose a method to reliably calculate the quantum spectrum of nuclear collective rotation. The method utilizes several cranked mean-field states with different rotational frequencies and they are superposed in the sense of the configuration mixing or the generator coordinate method, after performing the projection; the idea was originally suggested by Peierls-Thouless in 1962. It is found that the spectrum as a result of the configuration mixing does not essentially depend on chosen sets of cranking frequencies if the number of mean-field states utilized in the mixing is larger than a certain small value. We apply this method to three examples employing the Gogny D1S effective interaction and show that it is useful to study high-spin rotational bands by means of the angular momentum projection method.