# Dependence of spin induced structural transitions on level density and Neutron emission spectra

## TL;DR

This paper investigates how spin-induced deformation and shape phase transitions affect nuclear level density and neutron emission spectra in certain nuclei, revealing correlations and effects of shape changes on decay properties.

## Contribution

It introduces a microscopic statistical framework to analyze the influence of spin-induced shape transitions on nuclear level density and neutron emission spectra, highlighting the role of shape phase transitions.

## Key findings

- Inverse level density parameter K increases with spin.
- Shape phase transitions enhance level density and emission probability.
- Shell effects cause fading of shape transition effects near shell closures.

## Abstract

The impact of spin induced deformation and shape phase transitions on nuclear level density and consequently on neutron emission spectra of the decay of compound nuclear systems 112^Ru to 123^Cs (N = 68 isotones) is investigated in a microscopic framework of Statistical theory of superfluid nuclei. Our calculations are in good accord with experimental data for evaporation residue of 119^Sb^* and 185^Re^* and show a strong correlation between spin induced structural transitions and NLD. We find that the inverse level density parameter K increases with increasing spin for all the systems, but it decreases with a deformation or a shape change that results in the enhancement of level density and emission probability. A sharp shape phase transition from oblate to uncommon prolate non-collective in well deformed nuclei leads to band crossing and enhancement of level density which fades away while approaching sphericity at or near shell closure manifesting shell effects.