Reaction Matrix Elements and Structure Calculations with the Yale and Reid Potentials for the Ni Region

Employing the Yale and soft-core Reid free nucleon-nucleon potentials, the shell-model reaction matrix elements are calculated and tabulated for the Ni region. The matrix elements consist of the bare part and the renormalization effects due to the core polarization. The bare matrix elements are evaluated following the unitary-model approach of Shakin, Waghmare, Tomaselli, and Hull and the renormalization corrections are calculated in the same manner as by Kuo and Brown for a ${\mathrm{Ni}}^{56}$ core. As a test of these matrix elements, spherical shell-model spectra of ${\mathrm{Ni}}^{58}$, ${\mathrm{Cu}}^{58}$, ${\mathrm{Ni}}^{59}$, ${\mathrm{Cu}}^{59}$, ${\mathrm{Ni}}^{60}$, ${\mathrm{Zn}}^{60}$, and ${\mathrm{Cu}}^{60}$ are calculated. Quasiparticle calculations for the odd and even Ni isotopes are also performed. In general the calculated results are in good agreement with each other as well as with the observed data. It is concluded that different potentials which fit the same nucleon-nucleon scattering data give essentially the same results for effective-interaction and nuclear-structure calculations for the Ni region of the Periodic Table.