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- Title
Phase transition studies of the odd-mass Xe isotopes based on algebra in IBFM.
- Authors
Jafarizadeh, M. A.; Fouladi, N.; Ghapanvari, M.; Fathi, H.
- Abstract
In this paper, we have investigated the positive-parity states in the odd-mass transitional Xe isotopes within the framework of the interacting boson-fermion model. Two solvable extended transitional Hamiltonians which are based on SU(1,1) algebra are employed to provide an investigation of quantum phase transition (QPT) between the spherical and deformed gamma - unstable shapes along the chain of Xe isotopes. The low-states energy spectra and B(E2) values for these nuclei have been calculated and compared with the experimental data. The predicted excitation energies and B(E2) transition rates of the odd isotopes are found to agree well with the experimental data. We have also analyzed the critical behavior of even-odd Xe isotopes via Catastrophe Theory in combination with a coherent state formalism to generate energy surfaces and special isotopes which are the best candidates for the critical point are identified.
- Subjects
XENON isotopes; PHASE transitions; INTERACTING boson-fermion models; QUANTUM phase transitions; CRITICAL point (Thermodynamics)
- Publication
International Journal of Modern Physics E: Nuclear Physics, 2016, Vol 25, Issue 8, p-1
- ISSN
0218-3013
- Publication type
Article
- DOI
10.1142/S0218301316500488