Application of USDA and SDBA Hamiltonians in calculating the excited states of odd-A magnesium isotopes

Abstract

In this study, we assess the accuracy of theoretical shell model in calculating the excited states in odd-A magnesium isotopes with neutron numbers between 9 and 15, on the basis of recently reported experimental results. The assessments rely on the calculations of the energy levels, reduced electric quadrupole transition probabilities, reduced magnetic dipole transition probabilities, and multipole mixing ratio. The theoretical results are based on the new sd-shell Universal Hamiltonian (USDA) and the realistic nucleon-nucleon interaction Bonn A Hamiltonian (SDBA). We show the area in which the two Hamiltonians are effective and demonstrate the possibility of confirming known states and suggesting new states.