Ground State Properties of Uranium Isotope Chain: A Relativistic Mean Field Approach

he investigation of uranium isotopes is pivotal for advancing our understanding of nuclear physics, particularly regarding isospin and exotic nuclei. This study examines the ground state properties of uranium isotopes from A = 203 to A = 305, focusing on key physical quantities such as binding energy, quadrupole deformation, isotopic displacement, single-particle energy levels, and nucleon density distributions.Recent experimental advancements concerning uranium isotopes underscore the essential role of theoretical models in interpreting experimental findings. The industrial applications of uranium, particularly in nuclear energy and weapons development, highlight its significance and the need for precise theoretical insights. The Framework of the FDRM model is employed for comparative analysis due to its data being in close agreement with experimental results. The identification of the proton drip line nucleus at $^{207}$U is based on the analysis of single-particle energy levels and continuous state occupancy.This research not only enhances the understanding of uranium isotopes but also establishes a robust theoretical foundation for future experimental investigations.