A New Efficient Method of Hartree-Fock-Bogoliubov Calculation for Weakly Bound Nuclei

TL;DR

This paper introduces an efficient method for solving Hartree-Fock-Bogoliubov equations in weakly bound nuclei, utilizing analytical basis functions to improve asymptotic behavior and applicability to spherical and deformed cases.

Contribution

The paper presents a novel approach that expands quasiparticle wave functions in analytical basis sets, enhancing accuracy and efficiency over traditional box boundary methods.

Findings

Accurate results for benchmark spherical nuclei

Effective handling of deformed nuclei

Good agreement with traditional methods

Abstract

We propose a new method to solve the Hartree-Fock-Bogoliubov equations for weakly bound nuclei, which works for both spherical and axially deformed cases. In this approach, the quasiparticle wave functions are expanded in a complete set of analytical Poschl-Teller-Ginocchio and Bessel/Coulomb wave functions. Correct asymptotic properties of the quasiparticle wave functions are endowed in the proposed algorithm. Good agreement is obtained with the results of the Hartree-Fock-Bogoliubov calculation using the box boundary condition for a set of benchmark spherical and deformed nuclei.