New features of the triaxial nuclei described with a coherent state model

الأصل · EN

Supplementing the Liquid Drop Model (LDM) Hamiltonian, written in the intrinsic reference frame, with a sextic oscillator plus a centrifugal term in the variable β and a potential in γ with a minimum in π6, the Schödinger equation is separated for the two variables which results in having a new description for the triaxial nuclei, called Sextic and Mathieu Approach (SMA). SMA is applied for two non-axial nuclei, ¹⁸⁰Hf and ¹⁸²W and results are compared with those yielded by the Coherent State Model (CSM). As the main result of this paper we derive analytically the equations characterizing SMA from a semi-classical treatment of the CSM Hamiltonian. In this manner the potentials in β and γ variables respectively, show up in a quite natural way which contrasts their ad-hoc choice when SMA emerges from LDM.