2011/08/29 by P Buganu, A. A. Raduta, P. Buganu +2
Physics and Astronomy · #Liquid drop #Nuclear physics research studies #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #SMA* #State (computer science) #State variable #Term (time) #Variable (mathematics) #nucl-th
paper · pdf · doi:10.1088/0954-3899/39/2/025103
13 figures, 13 pages
arxiv created 2011/08/29 · openalex publication_date 2012/01/12 · arxiv updated 2015/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 , the Schödinger 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, 180 Hf and 182 W, 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 β and γ variables, respectively, show up in a quite natural way which contrasts with their ad hoc choice when the SMA emerges from the LDM.