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Title: Simple description of odd-A nuclei around the critical point of the spherical to axially deformed shape phase transition

Abstract

An analytically solvable model, X(3/2j+1), is proposed to describe odd-A nuclei near the X(3) critical point. The model is constructed based on a collective core described by the X(3) critical point symmetry coupled to a spin-j particle. A detailed analysis of the spectral patterns for cases j=1/2 and j=3/2 is provided to illustrate dynamical features of the model. By comparing theory with experimental data and results of other models, it is found that the X(3/2j+1) model can be taken as a simple yet very effective scheme to describe those odd-A nuclei with an even-even core at the critical point of the spherical to axially deformed shape phase transition.

Authors:
 [1];  [1];  [2];  [3];  [4];  [5];  [6]
  1. Department of Physics, Liaoning Normal University, Dalian 116029 (China)
  2. (United States)
  3. Department of Physics and the National Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871 (China)
  4. (China)
  5. School of Physics, Nankai University, Tianjin 300071 (China)
  6. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001 (United States)
Publication Date:
OSTI Identifier:
21596737
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.84.034306; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; NUCLEI; PHASE TRANSFORMATIONS; SPHERICAL CONFIGURATION; SPIN; SYMMETRY; ANGULAR MOMENTUM; CONFIGURATION; PARTICLE PROPERTIES

Citation Formats

Zhang Yu, Pan Feng, Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, Liu Yuxin, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, Luo Yanan, and Draayer, J. P. Simple description of odd-A nuclei around the critical point of the spherical to axially deformed shape phase transition. United States: N. p., 2011. Web. doi:10.1103/PHYSREVC.84.034306.
Zhang Yu, Pan Feng, Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, Liu Yuxin, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, Luo Yanan, & Draayer, J. P. Simple description of odd-A nuclei around the critical point of the spherical to axially deformed shape phase transition. United States. doi:10.1103/PHYSREVC.84.034306.
Zhang Yu, Pan Feng, Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, Liu Yuxin, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, Luo Yanan, and Draayer, J. P. Thu . "Simple description of odd-A nuclei around the critical point of the spherical to axially deformed shape phase transition". United States. doi:10.1103/PHYSREVC.84.034306.
@article{osti_21596737,
title = {Simple description of odd-A nuclei around the critical point of the spherical to axially deformed shape phase transition},
author = {Zhang Yu and Pan Feng and Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001 and Liu Yuxin and Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000 and Luo Yanan and Draayer, J. P.},
abstractNote = {An analytically solvable model, X(3/2j+1), is proposed to describe odd-A nuclei near the X(3) critical point. The model is constructed based on a collective core described by the X(3) critical point symmetry coupled to a spin-j particle. A detailed analysis of the spectral patterns for cases j=1/2 and j=3/2 is provided to illustrate dynamical features of the model. By comparing theory with experimental data and results of other models, it is found that the X(3/2j+1) model can be taken as a simple yet very effective scheme to describe those odd-A nuclei with an even-even core at the critical point of the spherical to axially deformed shape phase transition.},
doi = {10.1103/PHYSREVC.84.034306},
journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}