Nuclear-Structure Calculations forCu59and Odd Nickel Isotopes

Abstract

A detailed shell-model calculation is carried out to discuss the properties of the low-lying states of ${\mathrm{Cu}}^{59}$ and ${\mathrm{Ni}}^{59}$ nuclei. An inert ${\mathrm{Ni}}^{56}$ core is assumed and the three extracore particles are considered to occupy the $1{p}_{\frac{3}{2}}$, $0{f}_{\frac{5}{2}}$, and $1{p}_{\frac{1}{2}}$ orbitals. The effect of including the $0{g}_{\frac{9}{2}}$ orbital is studied. The renormalized reaction matrix elements as derived by Kuo and Brown for this mass region are used. A comparison between the observed and calculated energy levels is made and the wave functions obtained are used to calculate the spectroscopic factors for the ${\mathrm{Ni}}^{58}({\mathrm{He}}^{3},d){\mathrm{Cu}}^{59}$ and ${\mathrm{Ni}}^{58}(d,p){\mathrm{Ni}}^{59}$ reactions. The odd-mass Ni isotopes (${\mathrm{Ni}}^{59}$, ${\mathrm{Ni}}^{61}$, ${\mathrm{Ni}}^{63}$, ${\mathrm{Ni}}^{65}$) are then described by the modified Tamm-Dancoff approximation (MTDA) method. The MTDA results for odd Ni isotopes are found to be in quite satisfactory agreement with experiment. These results together with the previous results for even Ni isotopes by Roy, Raj, and Rustgi lead us to believe that the Kuo-Brown matrix elements in conjunction with the MTDA method give a good description of all the Ni isotopes.