Exactly separable version of X(5) and related models
Nuclear Theory
2008-11-26 v1
Abstract
One-parameter exactly separable versions of the X(5) and X(5)-beta^2 models, labelled as ES-X(5) and ES-X(5)-beta^2 respectively, are derived by using in the Bohr Hamiltonian potentials of the form u(beta)+u(gamma)/beta^2. Unlike X(5), in these models the beta_1 and gamma_1 bands are treated on equal footing. Spacings within the gamma_1 band are well reproduced by both models, while spacings within the beta_1 band are well reproduced only by ES-X(5)-beta^2, for which several nuclei with R_{4/2}=E(4_1^+)/E(2_1^+) ratios and [normalized to E(2_1^+)] beta_1 and gamma_1 bandheads corresponding to the model predictions have been found.
Cite
@article{arxiv.nucl-th/0612101,
title = {Exactly separable version of X(5) and related models},
author = {D. Bonatsos and D. Lenis and E. A. McCutchan and D. Petrellis and I. Yigitoglu},
journal= {arXiv preprint arXiv:nucl-th/0612101},
year = {2008}
}
Comments
12 pages, LaTeX, including three .eps figures