Full $fp$-shell study of even-even ${}^{48-56}$Ti isotopes

Abstract

The level schemes and transition rates {\em B}({\em E}2;$\uparrow$) of eve-even ${}^{48-56}$Ti isotopes were studied by performing large-scale shell model calculations with FPD6 and GXPF1 effective interactions. Excellent agreement were obtained by comparing the first 2${}^{+}$ level for all isotopes with the recently available experimental data, but studying the transition strengths {\em B}({\em E}2; 0${}_{g.s.}^{+}\to 2_1^{+}$) for all Ti isotopes using constant proton-neutron effective charges prove the limitations of the present large-scale calculations to reproduce the experiment in detail.

Comments: 4 pages, 4 figures