EffectiveN−NInteraction and Electromagnetic Operators Deduced from the Tabakin Potential: Application to Nickel Isotopes

The properties of low-lying states of even and odd nickel isotopes are derived by means of the quasiparticle second-Tamm-Dancoff theories in the frame of the mixed configurations ${(2\mathrm{}{p}_{\frac{3}{2}}, 1f_{\frac{5}{2}}, 2p_{\frac{1}{2}}, 1g_{\frac{9}{2}})}^n$. The Tabakin potential renormalized for particle-hole excitations of the core is used. The agreement between theoretical and experimental spectra is good for ${\mathrm{Ni}}^{58-60}$ but becomes worse for ${\mathrm{Ni}}^{61-64}$. Calculated effective electromagnetic operators are used to compute $E2\mathrm{}$ and $M1\mathrm{}$ transition rates, $E2\mathrm{}$ and $M1\mathrm{}$ static moments, and inelastic electron scattering form factors. The theory fails in the case of the $E2\mathrm{}$ operator, while it is successful for the $M1\mathrm{}$ operator. Spectroscopic factors for one-nucleon transfer reactions are calculated and found to be in general agreement with experiment.