Eur. Phys. J. Plus (2014) 129: 125
https://doi.org/10.1140/epjp/i2014-14125-0

Regular Article

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

¹ Department of Physics, Faculty of Science, University of Malaya, 50603, Kuala Lumpur, Malaysia
² Department of Chemistry, College of Education, University of Samarra, Selah Alden, Iraq
³ Department of Computer Science, College of Science, University of Kerbala, Karbala, Iraq
⁴ Quantum Science Centre, Department of Physics, Faculty of Science, University of Malaya, 50603, Kuala Lumpur, Malaysia

^* e-mail: anwer_ahmaed@yahoo.com

Received: 14 December 2013
Revised: 23 April 2014
Accepted: 6 May 2014
Published online: 23 June 2014

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.