EXOTIC PHENOMENA IN TRIAXIAL ODD–ODD NUCLEI

Abstract

The extreme limits of the nuclear chart, far away from the beta-stability region, are an excellent testing ground to understand the complex phenomena exhibited by atomic nuclei. However, it is not easily accessed, both experimentally and theoretically. Therefore, for nuclei in this exotic region, the data are scarce and mostly only a few low-lying levels in the spectra can be detected, which in most cases are lying very close to each other. Hence, we need a more rigorous theoretical framework to deal with these nuclei. Most of the nuclei in region away from shell closures are deformed [1]. Hence, the rotational bands can be studied theoretically by coupling the valence particles to the even–even deformed core. In the conventional particle-plus-rotor model (PRM) [1, 2] and two particle-plus-rotor model (TPRM) [3], the core is either treated as a rigid rotor or with a variable moment of inertia. In studies based on these models, the results are obtained by varying many parameters to have the best fit with experimental spectra. For a theory to be more consistent, it should depend on the least number of parameters having physical significance. With this motive, in the present work, the rotation-particle coupling [1] is carried out utilizing an appropriate basis transformation such that the matrix elements of the odd–odd system can be written in terms of the rotor energies [4]. This provides the advantage of studying the role of core more efficiently as compared to the conventional particle rotor model. After verifying the approach in stability region, we have extended it to study the proton emission and chirality as explained in the forthcoming discussion.