Microscopic band spectra of ¹⁵³₆₃Eu

Much work has been done on the odd- Z , odd-A nuclei in the rare-earth region because of fascinating variety of structures of nuclei. The nucleus ¹⁵³Eu lies in the transitional rare earth region where nuclei are neither spherical nor well deformed. This nucleus has been well studied over the last two decades. The bands based on K = 5/2⁺; 5/2^- and 3/2⁺ are now known to high spins. For example ground state band of this nucleus is known up to 45/2⁺. In this nucleus the ground state band is predominantly associated with the π(413) 5/2⁺ orbital and the first and second intrinsic excited states with the π(532)5/2^- and π(411) 3/2⁺ orbitals respectively. The aim of the present work is to do a systematic study in detail of this nucleus and to reproduce the systematics of the energy levels, electromagnetic quantities like magnetic and electric dipole and quadrupole transition probabilities, by the calculations. In the present work, Projected Shell Model has been employed to study the ground state and excited bands. In the present study, three major harmonic oscillator shells with N=3,4,5 for protons and N=4,5,6 for neutrons are taken. The Hamiltonian that has been used in the present calculation contains the single particle energies, monopole pairing between like particles, quadrupole-quadrupole and quadrupole pairing interactions