Critical point symmetry for odd-odd nuclei and collective multiple chiral doublet bands

Abstract

A critical point symmetry (CPS) for odd-odd nuclei is built in the core-particle coupling scheme with the even-even core assumed to follow the spherical to triaxially deformed shape phase transition. It is shown that the model Hamiltonian can be approximately solved with the solutions being expressed in terms of the Bessel functions of irrational orders. In particular, the CPS predicts that collective multiple chiral doublets may exist in transitional odd-odd systems.collective model, critical point symmetry, multiple chiral doublet bands

Hidden Euclidean Dynamical Symmetry in the U(n + 1) Vibron Model

“…As is known, the concept of CPS was proposed [13,33] in the framework of the Bohr-Mottelson model with the model predictions being well recognized in experiments [34][35][36][37]. Theoretically, the CPS method was extensively developed and became a "standard" way in modeling transitional structures of even-even nuclei [38][39][40][41][42][43][44][45][46][47][48][49][50][51], odd-A nuclei [52][53][54][55][56][57][58] and odd-odd nuclei [59]. The relevant case in this work is the E(5) CPS [13].…”