Large scale shell model calculations for odd-odd ${}^{58-62}$Mn isotopes

Abstract

Large scale shell model calculations have been carried out for odd-odd ${}^{58-62}$Mn isotopes in two different model spaces. First set of calculations have been carried out in full $fp$ shell valence space with two recently derived $fp$ shell interactions namely GXPF1A and KB3G treating ${}^{40}$Ca as core. The second set of calculations have been performed in $fp{g}_{9/2}$ valence space with the $fpg$ interaction treating ${}^{48}$Ca as core and imposing a truncation by allowing up to a total of six particle excitations from the 0f${}_{7/2}$ orbital to the upper $fp$ orbitals for protons and from the upper $fp$ orbitals to the 0g${}_{9/2}$ orbital for neutron. For low-lying states in ${}^{58}$Mn, the KB3G and GXPF1A both predicts good results and for ${}^{60}$Mn, KB3G is much better than GXPF1A. For negative parity and high-spin positive parity states in both isotopes $fpg$ interaction is required. Experimental data on ${}^{62}$Mn is sparse and therefore it is not possible to make any definite conclusions. More experimental data on negative parity states is needed to ascertain the importance of 0g${}_{9/2}$ and higher orbitals in neutron rich Mn isotopes.

5 pages, 4 figures, Submitted to Eur. Phys. J. A

References in corpus (3)

• Shell model study of single-particle and collective structure in neutron-rich Cr isotopes
• Half-life and spin of 60Mn^g
• Large scale shell model calculations for even-even ${}^{62-66}$Fe isotopes

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