We report here the results of the calculation of total muon capture rates (${\Lambda }_{\mu \mathrm{c}}$) in Ne isotopes using Hartree-Fock wave functions. These wave functions are generated from (a) a phenomenological set of interaction matrix elements and (b) a microscopic set derived from the Reid soft core potential. Satisfactory agreement with the experiment both for the spectra of and the ${\Lambda }_{\mu \mathrm{c}}$ in ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$ is obtained. The trend of the variation of ${\Lambda }_{\mu \mathrm{c}}$ in Ne isotopes as predicted by the empirical formulas is explained by incorporating the oblate admixture in the ground states of ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$ and ${}_{}{}^{24}{}_{}{}^{}\mathrm{Ne}$.

NUCLEAR STRUCTURE Hartree-Fock (HF), projected HF, energy spectra, total muon capture rates, Ne isotopes.

• Received 28 November 1978

DOI:https://doi.org/10.1103/PhysRevC.21.1637