# Microscopic three-cluster study of light exotic nuclei

## TL;DR

This paper introduces a microscopic three-cluster model for exotic light nuclei using hyperspherical formalism, accurately describing halo nuclei and their properties, with applications to several isotopes and insights into core excitations.

## Contribution

The paper presents a novel microscopic three-cluster model combining hyperspherical formalism and shell model descriptions, suitable for studying halo nuclei and their spectroscopic properties.

## Key findings

- Accurate spectra and radii for 11Li, 14Be, 15B, 17N
- Analysis of core excitation effects on nuclear structure
- Brief discussion of mirror nuclei 17Ne and 15Ne

## Abstract

I develop a microscopic three-cluster model for exotic light nuclei. I use the hyperspherical formalism, associated with the Generator Coordinate Method. This model is well adapted to halo nuclei, since the long-range part of the radial wave functions is accurately reproduced. The core wave functions are described in the shell model, including excited states. This technique provides large bases, expressed in terms of projected Slater determinants. Matrix elements involve seven-dimension integrals, and therefore require long calculation times. I apply the model to 11Li, 14Be, 15B, and 17N described by two neutrons surrounding a 9Li, 12Be, 13B and 15N core, respectively. The 17Ne (as 15O+p+p) and 15Ne (as 13O+p+p) mirror nuclei are briefly discussed. I present the spectra and some spectroscopic properties, such as r.m.s. radii or E2 transition probabilities. I also analyze the importance of core excitations.