English

Systematic study of even-even $^{20-32}$Mg isotopes

Nuclear Theory 2012-02-28 v1

Abstract

A systematic study for 21+^+_1 and 41+^+_1 energies for even-even 2032^{20-32}Mg by means of large-scale shell model calculations using the effective interaction USDB and USDBPN with SD and SDPN model space respectively. The reduced transition probability {\em B}({\em E}2;\uparrow) were also calculated for the chain of Mg isotopes.Very good agreement were obtained by comparing the first 21+^+_1 and 41+^+_1 levels for all isotopes with the recently available experimental data and with the previous theoretical work using 3DAMP+GCM model, but studying the transition strengths {\em B}({\em E}2; 0g.s.+21+^+_{g.s.} \rightarrow2^+_1) for Mg isotopes using constant proton-neutron effective charges prove the limitations of the present large-scale calculations to reproduce the experiment in detail.

Keywords

Cite

@article{arxiv.1202.5611,
  title  = {Systematic study of even-even $^{20-32}$Mg isotopes},
  author = {Fouad A. Majeed},
  journal= {arXiv preprint arXiv:1202.5611},
  year   = {2012}
}

Comments

3 pages, 3 figures

R2 v1 2026-06-21T20:24:55.069Z