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Study of Phase Transitions and Critical Points in the Rare-Earth Region in the Framework of the Interacting Boson Model (IBM-1)

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6/16/2011 8:21:48 PM
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Study of Phase Transitions and Critical Points in the Rare-Earth Region in the Framework
of the Interacting Boson Model (IBM-1)
Fouad A. MAJEED   and  Kalid S. JASSIM
Kufa’s First Conference for physics, special Issue (ISSN 2077-5830), 6-7 October 2010
 
Abstract:
 A systematic study of isotope chains in the rare–earth region is presented. The energy levels, E2 transition rates, and two–neutron separation energies are described by using the most general IBM-1 Hamiltonian for the chains 146-160 Nd, 148-162 Gd and 150-166 Dy . 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-1-1 energy surfaces, is used to identify critical phase transition points.


  • وصف الــ Tags لهذا الموضوع
  • quantum phase transitions, catastrophe theory, interacting boson model