New Efficient Method for Performing Hartree-Fock-Bogoliubov Calculations for Weakly Bound Nuclei

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 quasi-particle 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.