Modern nuclear structure models : chiral symmetry, wobbling motion and γ-bands

The major challenge in nuclear theory is to provide a microscopic description of the three basic excitation modes of rotational, vibrational and single-particle motion in a unified manner. In recent years, the microscopic tool of triaxial projected shell model (TPSM) approach has been demonstrated to provide an excellent description of the three modes observed in transitional nuclei. In this approach, the three-dimensional angular momentum projection is performed to project out the good angular momentum states from the triaxially deformed intrinsic configuration. The simplified pairing plus quadrupole-quadrupole interaction employed in this approach allows one to undertake a systematic investigation of series of nuclei in a reasonable time frame. The TPSM model has provided new insights into the nature of various outstanding phenomena which are related to triaxiality in atomic nuclei. Recently, it has been demonstrated that TPSM describes the unique transition from longitudinal to transverse wobbling motion observed in La and Pr isotopes