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Microscopic analysis of order parameters in nuclear quantum phase transitions

2009; American Institute of Physics; Volume: 80; Issue: 6 Linguagem: Inglês

10.1103/physrevc.80.061301

1538-4497

Z. P. Li, Tamara Nikšić, D. Vretenar, Jie Meng,

Quantum Chromodynamics and Particle Interactions

Microscopic signatures of nuclear ground-state shape phase transitions in Nd isotopes are studied using excitation spectra and collective wave functions obtained by diagonalization of a five-dimensional Hamiltonian for quadrupole vibrational and rotational degrees of freedom, with parameters determined by constrained self-consistent relativistic mean-field calculations for triaxial shapes. As a function of the physical control parameter, the number of nucleons, energy gaps between the ground state and the excited vibrational states with zero angular momentum, isomer shifts, and monopole transition strengths exhibit sharp discontinuities at neutron number $N=90$, which is characteristic of a first-order quantum phase transition.