Research On Odd-mass Nuclear Structures Based On The Algebraic Model

In comparison to even-even nuclei,odd-mass nuclear structures,which are domianted by both single-particle excitation and collective excitation,are far more complicate and therefore have much richer structral phenomena associated.In theory,the interacting boson-fermion model（IBFM）is a very sucessful algebaric model for odd-mass nuclei.In this model,an odd-mass nucleus is regarded as a boson-fermion coupling system with a bosonic core coupled to unpaired odd nucleons.In this paper,the first-order shape phase transitions in the structural evlutions along,the Eu,Pm and Tb isotope chains have been investigated within the IBFM with the low-lying level patterns of the critical nuclei being analyzed in detail,and the results futher justify the validity of quantum phase transition in descrbing nuclear structural evolution-s.In addition,the rotational bands built on the singlge particl orbit h_11/2in ¹³⁵Pr have been investigated by using the IBFM with the associated wobbling band being emphasized.The results confirm again that the IBFM is a very successful algebraic model for odd-mass nuclear structures.