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Title: $$\gamma$$-Unstable Bohr Hamiltonian with sextic potential for odd-A nuclei

Journal Article · · Nuclear Physics. A
 [1];  [1];  [2];  [3];  [4]
  1. Shahrood University of Technology (Iran)
  2. National Centre of Scientific Research Demokritos, Attiki (Greece)
  3. Liaoning Normal University, Dalian (China); Louisiana State University, Baton Rouge, LA (United States)
  4. Louisiana State University, Baton Rouge, LA (United States)

We report in this paper, odd-A nuclei in the vibrational to γ-soft transitional region are studied in the collective model, in which the odd-A system is described by the Bohr Hamiltonian with the quasi exactly solvable sextic β-part potential for the even-even core coupled with a single nucleon in a j = 3/2 orbit via the β-independent five-dimensional spin-orbit interaction and the total angular momentum degeneracy breaking term. To test the validity of the coupling scheme, we use the model to reproduce experimentally available level energies and B(E2) values of 187,189,191,193,195Ir. It is clearly shown from both the level energies and the known B(E2) values for 191,193Ir fitted that the model with the β-independent five-dimensional spin-orbit interaction and the total angular momentum degeneracy breaking term seems adequate to describe the low-lying level pattern and the structure of these odd-A nuclei.

Research Organization:
Louisiana State Univ., Baton Rouge, LA (United States)
Sponsoring Organization:
USDOE Office of Science (SC); National Natural Science Foundation of China (NSFC); Liaoning Provincial Universities Overseas Training Program; National Science Foundation (NSF)
Grant/Contract Number:
SC0005248; 11675071; 2019-46; OIA-1738287; ACI-1713690
OSTI ID:
1850905
Alternate ID(s):
OSTI ID: 1633373
Journal Information:
Nuclear Physics. A, Vol. 1002, Issue C; ISSN 0375-9474
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

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Quantum phase transitions in the shapes of atomic nuclei journal August 2010
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Search for critical-point nuclei in terms of the sextic oscillator journal April 2010
Ground state bands of the E(5) and X(5) critical symmetries obtained from Davidson potentials through a variational procedure journal March 2004
Electromagnetic response and breakup of light weakly bound nuclei in a dicluster model journal October 2005
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