Eur. Phys. J. A (2015) 51: 149
https://doi.org/10.1140/epja/i2015-15149-1

Regular Article - Theoretical Physics

transitions of ¹⁶ ₇N₉ ¹⁶ ₈O₈ with optimized SDI residual interaction using pnTDA and TDA approximations

Department of Nuclear Physics, Faculty of Basic Science, University of Mazandaran, P.O. Box 47415-416, Babolsar, Iran

^* e-mail: m.pahlavani@umz.ac.ir

Received: 30 June 2015
Accepted: 23 October 2015
Published online: 23 November 2015

Abstract

Within a developed particle-hole approach, a systematic study of the transition from the ground state of the ¹⁶N nucleus to the ground and some exited states of the ¹⁶O nucleus has been carried out. The energy spectrum and the wave functions of pure configuration of the ¹⁶N and ¹⁶O nuclei are numerically obtained using the mean-field shell model with respect to the Woods-Saxon nuclear potential accompanying spin-orbit and Coulomb interaction. Considering SDI residual interaction, mixed configuration of ground and excited pnTDA and TDA states are extracted for the aforementioned nucleus. These energy spectra and corresponding eigenstates are highly correspondent to the experimental energy spectrum and eigenstates after adjusting the residual potential parameters using the Nelder-Mead (NM) algorithm. In this approach, the endpoint energy, log ft and the partial half-lives of some possible transitions are calculated. The obtained results using the optimized SDI approach are reasonably close to the available experimental data.