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Title: An Exactly Separable {gamma}-Rigid Version of The X(5) Critical Point Symmetry

Abstract

A {gamma}-rigid version (with {gamma}=0) of the X(5) critical point symmetry is constructed. The model, to be called X(3) since it is proved to cointain three degrees of freedom, utilizes an infinite well potential, is based on exact separation of variables, and leads to parameter free (up to overall scale factors) predictions for spectra and B(E2) transition rates, which are in good agreement with existing experimental data for Os and Pt. An unexpected similarity of the {beta}1 bands of the X(5) nuclei 150Nd, 152Sm, 154Gd, and 156Dy to the X(3) predictions is observed.

Authors:
; ;  [1];  [2];  [3]
  1. Institute of Nuclear Physics, National Center for Scientific Research 'Demokritos', GR-15310 Aghia Paraskevi, Attiki (Greece)
  2. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigrad Road, BG-1784 Sofia (Bulgaria)
  3. Hasan Ali Yucel Faculty of Education, Istanbul University, TR-34470 Beyazit, Istanbul (Turkey)
Publication Date:
OSTI Identifier:
21057101
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 899; Journal Issue: 1; Conference: 6. international conference of the Balkan Physical Union, Istanbul (Turkey), 22-26 Aug 2006; Other Information: DOI: 10.1063/1.2733067; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DYSPROSIUM 156; E2-TRANSITIONS; GADOLINIUM 154; NEODYMIUM 150; NUCLEAR MODELS; NUCLEAR POTENTIAL; NUCLEAR STRUCTURE; SAMARIUM 152; SYMMETRY

Citation Formats

Bonatsos, D., Lenis, D., Petrellis, D., Terziev, P. A., and Yigitoglu, I. An Exactly Separable {gamma}-Rigid Version of The X(5) Critical Point Symmetry. United States: N. p., 2007. Web. doi:10.1063/1.2733067.
Bonatsos, D., Lenis, D., Petrellis, D., Terziev, P. A., & Yigitoglu, I. An Exactly Separable {gamma}-Rigid Version of The X(5) Critical Point Symmetry. United States. doi:10.1063/1.2733067.
Bonatsos, D., Lenis, D., Petrellis, D., Terziev, P. A., and Yigitoglu, I. Mon . "An Exactly Separable {gamma}-Rigid Version of The X(5) Critical Point Symmetry". United States. doi:10.1063/1.2733067.
@article{osti_21057101,
title = {An Exactly Separable {gamma}-Rigid Version of The X(5) Critical Point Symmetry},
author = {Bonatsos, D. and Lenis, D. and Petrellis, D. and Terziev, P. A. and Yigitoglu, I.},
abstractNote = {A {gamma}-rigid version (with {gamma}=0) of the X(5) critical point symmetry is constructed. The model, to be called X(3) since it is proved to cointain three degrees of freedom, utilizes an infinite well potential, is based on exact separation of variables, and leads to parameter free (up to overall scale factors) predictions for spectra and B(E2) transition rates, which are in good agreement with existing experimental data for Os and Pt. An unexpected similarity of the {beta}1 bands of the X(5) nuclei 150Nd, 152Sm, 154Gd, and 156Dy to the X(3) predictions is observed.},
doi = {10.1063/1.2733067},
journal = {AIP Conference Proceedings},
number = 1,
volume = 899,
place = {United States},
year = {Mon Apr 23 00:00:00 EDT 2007},
month = {Mon Apr 23 00:00:00 EDT 2007}
}
  • A {gamma}-rigid version (with {gamma} = 0) of the X(5) critical point symmetry is constructed. The model, to be called X(3) since it is proved to contain three degrees of freedom, utilizes an infinite well potential, is based on exact separation of variables, and leads to parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates which are in good agreement with existing experimental data for {sup 172}Os and {sup 186}Pt. An unexpected similarity of the {beta}{sub 1} bands of the X(5) nuclei {sup 150}Nd, {sup 152}Sm, {sup 154}Gd, and {sup 156}Dy to the X(3) predictions ismore » observed.« less
  • A {gamma}-rigid solution of the Bohr Hamiltonian for {gamma} = 30 deg. is derived, its {beta}-part being related to the second order Casimir operator of the Euclidean algebra E(4). The solution is called Z(4), since it corresponds to the Z(5) model with the {gamma} variable 'frozen'. Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are in close agreement to the E(5) critical point symmetry, as well as to experimental data in the Xe region around A = 130.
  • A {gamma}-rigid solution of the Bohr Hamiltonian for {gamma}=30 deg. is derived. Bohr Hamiltonians {beta}-part being related to the second order Casimir operator of the Euclidean algebra E(4). The solution is called Z(4) since it is corresponds to the Z(5) model with the {gamma} variable ''frozen''. Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are in close agreement to the E(5) critical point symmetry as well as to the experimental data in the Xe region around A=130.
  • Lifetimes of the first 4+ and 6+ states in 104Mo and 106Mo have been measured using the recoil distance method following spontaneous fission of 252Cf. Reduced transition probabilities in the ground state band of 104Mo are compared with predictions of the critical point symmetry X(5). While known level energies of 104Mo are in good agreement with the X(5) predictions, the analysis of the measured B(E2) values favor a rotor interpretation.
  • Excited nonyrast states of 162Yb were populated through positron/ec decay and studied through off-beam beta-delayed gamma-ray spectroscopy at Yale. New coincidence data provided evidence for a substantial revision of the level scheme and elimination of a previously reported first excited 0+ state. The revised level scheme of 162Yb was compared to pridictions of the X(5) critical point symmetry.