Hartree-Fock Gamow basis from realistic nuclear forces

TL;DR

This paper introduces a simplified method to generate the Hartree-Fock Gamow basis from realistic nuclear forces by analytically continuing the HF potential to the complex-k plane, enabling the study of weakly bound nuclei.

Contribution

The paper presents a novel approach to construct the Hartree-Fock Gamow basis from realistic nuclear interactions using complex-plane continuation, which is simpler than existing methods.

Findings

Successfully applied to 4He and 22O nuclei

Includes bound, resonant, and scattering states in the basis

Facilitates many-body calculations of weakly bound nuclei

Abstract

We present a simplified method to generate the Hartree-Fock Gamow basis from realistic nuclear forces. The Hartree-Fock iteration in the harmonic-oscillator basis is first performed, and then the obtained HF potential is analytically continued to the complex-k plane, finally by solving the Schr\"odinger equation in the complex-k plane the Gamow basis is obtained. As examples, the method is applied to 4He and 22O with the renormalized chiral N3LO potential. The basis obtained which includes bound, resonant and scattering states can be further used in many-body calculations to study weakly bound nuclei.