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 a...
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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 *** results indicate that the spherical to prolate(U(5)-SU(3))SPT and spherical to γ-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,B(E2)ratio,quadrupole moments,and one-particle-transfer spectroscopic *** 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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