# Effects of the Coulomb interaction on parameters of resonance states in mirror three-cluster nuclei

## TL;DR

This paper examines how Coulomb interactions influence the energy and width of resonance states in mirror three-cluster nuclei using a microscopic model, revealing different scenarios of resonance behavior.

## Contribution

It introduces two parameters to quantify Coulomb effects and identifies two distinct scenarios of resonance state evolution due to Coulomb interactions.

## Key findings

- Identified resonance states with varying Coulomb effects
- Discovered two scenarios of resonance motion: standard and rear
- Quantified Coulomb effects using two new parameters

## Abstract

We investigate how the Coulomb interaction affects the energy $E$ and width $\Gamma$ of resonance states in mirror nuclei. We employ a three-cluster microscopic model to determine position of resonance states in two- and three-body continua. Two parameters are introduced to quantify effects of the Coulomb interactions. As the energy and width of the corresponding resonance states of mirror nuclei are displayed on an $E$-$\Gamma$ plane, these parameters determine a rotation and a dilatation. With the help of these parameters we found resonance states with strong, small and medium effects of the Coulomb interaction. We also found two different scenarios of the motion of resonance states due to the Coulomb interaction. The first standard (major) scenario represent resonance states with the larger energy and larger width than their counterparts have. The second rear scenario includes resonance states with the larger energy but smaller width.