Phase transitions and critical points in the rare-earth region

Abstract

A systematic study of isotope chains in the rare--earth region is presented. For the chains (144-154)Nd, (146-160)Sm, (148-162)Gd, and (150-166)Dy, energy levels, E2 transition rates, and two--neutron separation energies are described by using the most general (up to two--body terms) IBM Hamiltonian. For each isotope chain a general fit is performed in such a way that all parameters but one are kept fixed to describe the whole chain. In this region nuclei evolve from spherical to deformed shapes and a method based on catastrophe theory, in combination with a coherent state analysis to generate the IBM energy surfaces, is used to identify critical phase transition points.

33 pages, ReVTeX4. 16 eps figures, 3 tables. Submitted to Phys. Rev. C

References in corpus (1)

• Nuclear binding energies: Global collective structure and local shell-model correlations

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• Empirical signatures of shape phase transitions in nuclei with odd nucleon numbers
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• Two-neutron transfer reactions as a tool to study the interplay between shape coexistence and quantum phase transitions
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