Algebraic model analysis of shape phase transitions in odd-odd nuclei
Compared with even-even nuclei,the description of low-lying dynamical structures and their evolution in odd-odd nuclei,which involve single-particle and collective excitations,is relatively difficult.Notably,the interacting boson-fermion-fermion model(IBFFM)provides an algebraic model framework to describe the structural properties of odd-odd nuclei.To solve the model,a numerical algorithm for constructing the Hamiltonian matrix in terms of the SU(3)basis is introduced in this work,through which the IBFFM is applied to analyze shape phase transitions in odd-odd nucleus systems with two diferent single-particle configurations.The results indicate that the critical behaviors of different quantities in the U(5)-SU(3)and U(5)-O(6)phase transitions will be further strengthened by the odd-particle effects,which confirms that shape phase transitions are important ways of structural evolution in odd-odd nuclei in heavy or intermediately heavy mass regions.
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