# Clusterization and deformation of multi-$\Lambda$ hypernuclei within relativistic mean-field model

## TL;DR

This study investigates the structure and deformation of multi-$ ext{Lambda}$ hypernuclei using a relativistic mean-field model, revealing cluster formations and deformation changes due to hyperon addition.

## Contribution

It introduces a relativistic mean-field approach to analyze deformation and clustering in multi-$ ext{Lambda}$ hypernuclei across specific isotopic chains.

## Key findings

- Evidence of two-$^6_{2 ext{Lambda}}$He cluster structure in $^{12}_{4 ext{Lambda}}$Be.
- Addition of $ ext{Lambda}$ hyperons slightly reduces deformation in Ne isotopes.
- Deformation significantly decreases or vanishes in Si hyper isotopes with hyperons.

## Abstract

Deformed multi-$\Lambda$ hypernuclei are studied within a relativistic mean-field model. In this paper, we take some $N=Z$ "hyper isotope" chains, i.e., $^{8+n}_{\ \ n\Lambda}{\rm Be}$, $^{20+n}_{\ \ \ n\Lambda}{\rm Ne}$, and $^{28+n}_{\ \ \ n\Lambda}{\rm Si}$ systems where $n = 2$, $4$ for Be, and $n = 2$, $8$ for Ne and Si. A sign of two-$^6_{2\Lambda}$He cluster structure is observed in the two-body correlation in $^{12}_{4\Lambda}$Be. In the Ne hyper isotopes, the deformation is slightly reduced by addition of $\Lambda$ hyperons whereas it is significantly reduced or even disappears in the Si hyper isotopes.