Linear response calculation using the canonical-basis TDHFB with a schematic pairing functional

TL;DR

This paper introduces a simplified canonical-basis TDHFB method that reduces computational costs and effectively calculates E1 strength distributions, revealing strong Landau damping in drip-line nuclei.

Contribution

The paper develops a canonical-basis formulation of TDHFB with a diagonal pair potential approximation, enabling efficient linear-response calculations in nuclei.

Findings

Reduced computational cost for TDHFB calculations.

Systematic E1 strength distributions for Mg isotopes.

Evidence of strong Landau damping in drip-line nuclei.

Abstract

A canonical-basis formulation of the time-dependent Hartree-Fock-Bogoliubov (TDHFB) theory is obtained with an approximation that the pair potential is assumed to be diagonal in the time-dependent canonical basis. The canonical-basis formulation significantly reduces the computational cost. We apply the method to linear-response calculations for even-even nuclei. E1 strength distributions for proton-rich Mg isotopes are systematically calculated. The calculation suggests strong Landau damping of giant dipole resonance for drip-line nuclei.