English

Phase transitions and critical points in the rare-earth region

Nuclear Theory 2016-09-08 v1

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.

Keywords

Cite

@article{arxiv.nucl-th/0304008,
  title  = {Phase transitions and critical points in the rare-earth region},
  author = {J. E. Garcia-Ramos and J. M Arias and J. Barea and A. Frank},
  journal= {arXiv preprint arXiv:nucl-th/0304008},
  year   = {2016}
}

Comments

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