Nuclear shape / phase transitions in the N = 40, 60, 90 regions

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Bibliographic Details
Main Authors:	Petrellis, Dimitrios, Prášek, Adam, Alexa, Petr, Bonatsos, Dennis, Thiamová, Gabriela, Veselý, Petr
Format:	Preprint
Published:	2024
Subjects:	Nuclear Theory
Online Access:	Acceder al recurso
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author	Petrellis, Dimitrios Prášek, Adam Alexa, Petr Bonatsos, Dennis Thiamová, Gabriela Veselý, Petr
author_facet	Petrellis, Dimitrios Prášek, Adam Alexa, Petr Bonatsos, Dennis Thiamová, Gabriela Veselý, Petr
contents	We investigate the isotopes of Se, Zr, Mo and Nd in the regions with N = 40, 60 and 90, where a first-order shape / phase transition, from spherical to deformed, can be observed. The signs of phase transitional behavior become evident by examining structure indicators, such as certain energy ratios and B(E2) transition rates and, in particular, how they evolve with neutron number. Microscopic mean-field calculations using the Skyrme-Hartree-Fock + Bardeen-Cooper-Schrieffer framework also reveal structural changes when considering the evolution of the resulting potential energy curves as functions of deformation. Finally, macroscopic calculations, using the Algebraic Collective Model, specifically for $^{74}$Se, $^{102}$Mo and $^{150}$Nd, after fitting its parameters to experimental spectra, result in potentials that resemble some of the potentials proposed in the framework of the Bohr Hamiltonian to describe shape transitions in nuclei.
format	Preprint
id	arxiv_https___arxiv_org_abs_2409_20110
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Nuclear shape / phase transitions in the N = 40, 60, 90 regions Petrellis, Dimitrios Prášek, Adam Alexa, Petr Bonatsos, Dennis Thiamová, Gabriela Veselý, Petr Nuclear Theory We investigate the isotopes of Se, Zr, Mo and Nd in the regions with N = 40, 60 and 90, where a first-order shape / phase transition, from spherical to deformed, can be observed. The signs of phase transitional behavior become evident by examining structure indicators, such as certain energy ratios and B(E2) transition rates and, in particular, how they evolve with neutron number. Microscopic mean-field calculations using the Skyrme-Hartree-Fock + Bardeen-Cooper-Schrieffer framework also reveal structural changes when considering the evolution of the resulting potential energy curves as functions of deformation. Finally, macroscopic calculations, using the Algebraic Collective Model, specifically for $^{74}$Se, $^{102}$Mo and $^{150}$Nd, after fitting its parameters to experimental spectra, result in potentials that resemble some of the potentials proposed in the framework of the Bohr Hamiltonian to describe shape transitions in nuclei.
title	Nuclear shape / phase transitions in the N = 40, 60, 90 regions
topic	Nuclear Theory
url	https://arxiv.org/abs/2409.20110

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