One-hole states of $A=39-47\mathrm{}$ potassium isotopes are examined with a model space spanning the ${f_{\frac{7}{2}}}^n{\left(d_{\frac{3}{2}}{s}_{\frac{1}{2}}\right)}^{-1\mathrm{}}$ and $f_{\frac{7}{2}}^{n-1\mathrm{}}{p}_{\frac{3}{2}}{d_{\frac{3}{2}}}^{-1\mathrm{}}$ configurations. The parameters of the neutron and particle-hole interaction are determined by least-squares fits to energy levels of Ca and K isotopes. The calculated spectra are in good agreement with experiment, and allow spin predictions to be made for the higher-mass K isotopes. The model wave functions are used to calculate magnetic moments and $M1\mathrm{}$ transition rates, and measurements which would be useful in determining certain matrix elements of the effective dipole operator are suggested.

NUCLEAR STRUCTURE Calculated one-hole spectra of K isotopes; effective interaction from least-squares fits; $M1\mathrm{}$ transitions and magnetic moments.

• Received 11 July 1980

DOI:https://doi.org/10.1103/PhysRevC.22.2561