Towards a Predictive HFB+QRPA Framework for Deformed Nuclei: Selected Tools and Technique

TL;DR

This paper develops a microscopic framework combining HFB and QRPA methods to accurately predict properties of deformed nuclei, addressing challenges like nuclear deformation and medium-heavy nuclei description.

Contribution

It introduces tools and techniques for consistent and interpretable HFB+QRPA calculations in deformed nuclei, advancing predictive nuclear modeling.

Findings

Techniques for testing calculation consistency

Methods for interpreting nuclear state results

Framework for deformed nuclei predictions

Abstract

Reliable predictions of the static and dynamic properties of a nucleus require a fully microscopic description of both ground and excited states of this complicated many-body quantum system. Predictive calculations are key to understanding such systems and are important ingredients for simulating stellar environments and for enabling a variety of contemporary nuclear applications. Challenges that theory has to address include accounting for nuclear deformation and the ability to describe medium-mass and heavy nuclei. Here, we perform a study of nuclear states in an Hartree-Fock-Bogoliubov (HFB) and Quasiparticle Random Phase Approximation (QRPA) framework that utilizes an axially-symmetric deformed basis. We present some useful techniques for testing the consistency of such calculations and for interpreting the results.