Abstract
In this paper, we study the prolate to oblate nuclear shape phase transition in odd-A nuclei with the help of the controlled single particle (CSP) concept. At first, we construct the corresponding Hamiltonian of the system, and related energy eigenvalue and eigenfunction are derived analytically. Then, according to the concept of the CSP, appropriate angular momenta of the even-even core inside of the odd-A nuclei are determined for 189Ir, the experimental candidate of this model. To examine the results, relative excitation energy and B(E2) transition rates of 189Ir are reproduced and compared with experimental data. The results show a good agreement with them.
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