Executive Summary : | The study of nucleus has become a vast and complex subject of nuclear physics that has been developing over many years and is based on the twin structures of experiment and theory which have risen together. The current frontiers of nuclear physics have necessitated the fundamental and fast evolving issues to be looked upon. One of the great challenges before the nuclear physics community is to understand microscopically the evolution of structure, in particular, the development of deformation and the existence of new collective motions and nuclear shapes. Nuclear deformation is an important tool to get deep insights of many properties, especially of non-magic nuclei, within a simple frame. The odd mass nuclei falling in the transitional region of periodic table serves an ideal venue for the study of the origin of deformation and collective motion. The experimental and theoretical investigations have revealed diversity in band structures of the nuclei falling in this region of the nuclear chart. Also, there exist strong evidences for the occurrence of asymmetric nuclear shapes as well as superdeformed bands in nuclei of this region. In addition to these properties, nuclei in this region are expected to exhibit various new phenomena like Quantum Phase Transition (QPT), nuclear shape transition, shape coexistence, nuclear chirality, etc. In the light of above-mentioned properties, one can say that the nuclei in the proposed mass region possess very interesting nuclear structure properties and it gives an opportunity for nuclear theorists to explain them theoretically. So, in the proposed project work attempts would be made to obtain the yrast excitation spectra, transition energies and Reduced transition probabilities to check the reliability and efficacy of this technique to interpret the experimental data. Apart from these, other important nuclear structure properties such as, band diagrams, alignment frequencies of proton-neutron, backbending in moment of inertia, signature-splitting, etc. would also be obtained. The change of shape along an isotopic chain, referred as shape transition and shape-coexistence would also be the subject of study. So, with this aim in mind, it is planned to describe these properties of nuclei using a microscopic framework of calculations like Projected Shell Model (PSM) and Triaxial Projected Shell Model (TPSM) frameworks. The research data obtained would also be compared with available experimental data to verify the applicability and suitability of applied framework. The calculated results which have not yet been tested experimentally, will give a challenge to experimental nuclear physicists to reproduce the results experimentally. |