An efficient method for computing the Thouless-Valatin inertia parameters

TL;DR

This paper introduces a computationally efficient method for calculating Thouless-Valatin moments of inertia in nuclear systems, achieving high accuracy by leveraging the rapid convergence of an inertia matrix expansion.

Contribution

It presents a novel, efficient approach based on ATDHF that significantly reduces computational effort while maintaining high accuracy in inertia calculations.

Findings

Method achieves ~1% accuracy

Compared results with exact self-consistent cranking model

Significantly faster than full ATDHF calculations

Abstract

Starting from the adiabatic time-dependent Hartree-Fock approximation (ATDHF), we propose an efficient method to calculate the Thouless-Valatin moments of inertia for the nuclear system. The method is based on the rapid convergence of the expansion of the inertia matrix. The accuracy of the proposed method is verified in the rotational case by comparing the results with the exact Thouless-Valatin moments of inertia calculated using the self-consistent cranking model. The proposed method is computationally much more efficient than the full ATDHF calculation, yet it retains a high accuracy of the order of 1%.