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- Title
Analytical description of odd-A nuclei around the critical point of shape phase transition within a conjunction of γ-rigid and γ-stable in the presence of deformation-dependent mass formalism.
- Authors
Soheibi, N.; Eshghi, M.; Bigdeli, M.
- Abstract
We have investigated a conjunction of γ-rigid and γ-stable collective motion of odd-A nuclei around the critical point of spherical to axially deformed shape phase transition. Our model is made on even–even nuclei with the --> E S − X (3) ∪ X (5) − D --> critical point symmetry that is coupled to a single nucleon in a j orbit. The Davidson potential for the β part is applied to the γ-rigid and γ-stable part of a Bohr–Hamiltonian in the presence of a deformation-dependent mass term and spin-orbit interaction. The solutions provide baselines for odd-mass nuclei with the --> E S − X (3 | 2 j + 1) ∪ X (5 | 2 j + 1) − D --> symmetry as Bose–Fermi dynamical symmetry. The level structure and transition patterns for some special j is estimated in detail.
- Subjects
CRITICAL point (Thermodynamics); PHASE transitions; SPIN-orbit interactions; GEOMETRIC shapes; FERMI energy; GROSS-Pitaevskii equations
- Publication
Canadian Journal of Physics, 2020, Vol 98, Issue 7, p675
- ISSN
0008-4204
- Publication type
Article
- DOI
10.1139/cjp-2019-0388