# Multi-chiral facets in symmetry restored states: Five chiral doublets candidates in even-even nucleus $^{136}$Nd

## TL;DR

This paper develops a triaxial projected shell model to investigate five candidate chiral doublets in the even-even nucleus $^{136}$Nd, successfully reproducing energy spectra and transition ratios, and analyzing the chiral geometry and evolution with spin.

## Contribution

The study introduces a shell model with configurations of more than four quasiparticles to explore chiral doublets in $^{136}$Nd, providing new insights into chiral geometry in even-even nuclei.

## Key findings

- Reproduces energy spectra and transition ratios satisfactorily.
- Demonstrates evolution from chiral vibration to static chirality with increasing spin.
- Identifies difficulties in interpreting some candidates as chiral partners.

## Abstract

A triaxial projected shell model including configurations with more than four quasiparticles in the configuration space is developed, and applied to investigate the recently reported five chiral doublets candidates in a single even-even nucleus $^{136}$Nd. The energy spectra and transition probability ratios $B(M1)/B(E2)$ are reproduced satisfactorily. The configuration mixing along the rotational bands is studied by analyzing the intrinsic composition of the eigenfunctions. The chiral geometry of these nearly degenerate bands is examined by the \textit{K plot} and the \textit{azimuthal plot}, and the evolution from the chiral vibration to the static chirality with spin is clearly demonstrated for four pairs of partner bands. From the features in the \textit{azimuthal plot}, it is difficult to interpret the other candidate as chiral partners.