Nuclear Structure with Discrete Non-Orthogonal Shell-Model : new frontiers

TL;DR

This paper introduces a novel shell-model approach using a discrete non-orthogonal basis, demonstrating its effectiveness through benchmarking and application to the heavy nucleus $^{254}$No.

Contribution

It develops and applies the DNO-SM method with the CARINA implementation, optimizing basis state selection for complex nuclear systems.

Findings

Benchmarking against $sd$ shell exact diagonalizations shows high accuracy.

Successful application to the heavy deformed nucleus $^{254}$No.

Demonstrates potential for studying complex nuclear structures.

Abstract

We present developments and applications for the diagonalization of shell-model hamiltonians in a discrete non-orthogonal basis (DNO-SM). The method, and its actual numerical implementation CARINA, based on mean-field and beyond-mean field techniques has already been applied in previous studies and is focused on basis states selection optimization. The method is benchmarked against a full set of $sd$ shell exact diagonalizations, and is applied for the first time to the heavy deformed $^{254}$No nucleus.