Single particle energies and nuclear g factors

Abstract

Adding one neutron to doubly magic [Formula: see text]Sn, we can associate the low lying states in[Formula: see text]Sn with single particle states. Thus, the [Formula: see text] and [Formula: see text] states are identified as the [Formula: see text] and [Formula: see text] single particle states, respectively. In [Formula: see text]Sn, these two low lying states are separated by an energy of 0.172[Formula: see text]MeV. Currently, there is a dispute as to the ordering of these states. We examine how the two scenarios, selecting [Formula: see text] as the ground state or [Formula: see text] as the ground state, affect spectra and nuclear [Formula: see text] factors of higher mass Sn isotopes in a variety of shell model situations. Significantly, this includes examining the complex interplay of the choice of single particle state splitting, effective interactions, and effective [Formula: see text]-factors in nuclear shell model calculations. Of particular importance is how the trends in the calculated results for [Formula: see text] factors diverge from recent experimental measurements for the higher mass isotopes of Sn.