New features of the triaxial nuclei described with a coherent state model
Supplementing the liquid drop model (LDM) Hamiltonian, written in the intrinsic reference frame, with a sextic oscillator plus a centrifugal term in the variable ? and a potential in ? with a minimum in , the Sch?dinger equation is separated for the two variables which results in having a new description for the triaxial nuclei, called the sextic and Mathieu approach (SMA). The SMA is applied for two non-axial nuclei, 180Hf and 182W, and results are compared with those yielded by the coherent state model (CSM). The main result of this paper consists of the derivation of the equations characterizing SMA from a semi-classical treatment of the CSM Hamiltonian. In this manner, the potentials in ? and ? variables, respectively, show up in a quite natural way which contrasts with their ad hoc choice when the SMA emerges from the LDM.