Towards a self-consistent dynamical nuclear model

TL;DR

This paper develops a microscopic dynamic nuclear model incorporating the subtraction method to better understand the renormalization of effective interactions in particle-vibration coupling, advancing nuclear physics modeling.

Contribution

It introduces the implementation of the subtraction method into a self-consistent dynamical nuclear model, a novel step in the field.

Findings

First implementation of the subtraction method in the model.

Insights into the renormalization of effective interactions.

Potential improvements in nuclear dynamics predictions.

Abstract

Density Functional Theory (DFT) is a powerful and accurate tool exploited in Nuclear Physics to investigate the ground-state and some collective properties of nuclei along the whole nuclear chart. Models based on DFT are, however, not suitable for the description of single-particle dynamics in nuclei. Following the field theoretical approach by A. Bohr and B. R. Mottelson to describe nuclear interactions between single-particle and vibrational degrees of freedom, we have undertaken important steps to build a microscopic dynamic nuclear model. In connection to that, one important issue that needs to be better understood is the renormalization of the effective interaction in the particle-vibration approach. One possible way to renormalize the interaction is the so called {\it subtraction method}. In this contribution we will implement the {\it subtraction method} for the first time in our model and study its consequences.