Abstract

We study in detail the chain of even - even mercury isotopes 190-200Hg using the relativistic point coupling model. A five-dimensional collective Hamiltonian (5DCH) model, with parameters determined by constrained self-consistent mean-field (SCMF) calculations based on the relativistic density-dependent pointcoupling (DD-PC1) energy density functional, and a finite-range pairing interaction is used to calculate the low-energy excitation spectrum and the B(E2) transitions rates of even-even nuclei. The calculations suggest coexisting configurations in 190Hg, increased collectivity in the isotopes 192-198Hg and a more spherical structure in 200Hg.

Highlights

  • One of the most intriguing subjects of research in nuclear structure studies is the shape evolution in atomic nuclei

  • In the region of Z = 82 near the neutron midshell N = 104 the phenomena of phase coexistence [6] and phase transitions [7] were first observed in studies of hyperfine structure [8]

  • A recent study within the Elliott and the proxy-SU(3) models [43] suggests that the evolution of shape coexistence in the neutron deficient Hg isotopes is accompanied by a merging of the spin-orbit (SO) - like shell with the open harmonic oscillator (HO) shell [43]. In this contribution we present contrained self-consistent mean-field (SCMF) calculations for even-even 190−200Hg isotopes within the relativistic Hartree-Bogoliubov [44] method with the densitydependent point-coupling (DD-PC1) [45] energy density functional in the particle-hole channel and a separable pairing force [46] in the particle-particle channel

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Summary

Introduction

One of the most intriguing subjects of research in nuclear structure studies is the shape evolution in atomic nuclei. In this contribution we present contrained SCMF calculations for even-even 190−200Hg isotopes within the relativistic Hartree-Bogoliubov [44] method with the densitydependent point-coupling (DD-PC1) [45] energy density functional in the particle-hole channel and a separable pairing force [46] in the particle-particle channel. The DD-PC1 density functional has been successfully applied to various studies of nuclear structure phenomena related to quantum phase transitions [47,48,49,50], shape coexistence [51] and the effect of collective correlations on the ground state and fission properties of superheavy nuclei [52, 53]. Calculations shown here have been partially presented in [59]

Potential energy surfaces
Spectroscopic properties
Overview and conclusions
Full Text
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