Effects of an odd particle on shape phase transitions in odd-even systems |
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| Authors: | Chang Xiu Yu Zhang Ming-Jin Li Jie Yang Yan-Xia Chen |
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| Affiliation: | 1. Department of Physics, Liaoning Normal University, Dalian 116029, China2. Software Institute, Dalian Jiaotong University, Dalian 116028, China3. Department of Physics, Dalian Medical University, Dalian 116044, China |
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| Abstract: | A scheme to solve the Hamiltonian in the interacting boson-fermion model in terms of the SU(3) coupling basis is introduced, through which the effects of an odd particle on shape phase transitions (SPTs) in odd-A nuclei are examined by comparing the critical behaviors of some selected quantities in odd-even and even-even systems. The results indicate that the spherical to prolate (U(5)-SU(3)) SPT and spherical to begin{document}$ gamma $end{document}![]() ![]() -soft (U(5)-O(6)) SPT may clearly occur in the odd-even system with the SPT signatures revealed by various quantities including the excitation energies, energy ratio, begin{document}$ B(E2) $end{document}![]() ![]() ratio, quadrupole moments, and one-particle-transfer spectroscopic intensities. In particular, the results indicate that the spherical to prolate SPT in the odd-even system can even be strengthened by the effects of the odd particle with the large fluctuations of the quadrupole deformations appearing near the critical point. |
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| Keywords: | interacting boson-fermion model SU(3) basis shape phase transition effects of the odd particle |
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