Microscopic description of total muon capture rates for even isotopes of Ti, Cr and Fe

Presents results of microscopic calculations of total muon capture rates ( Lambda _{mu c}) for even isotopes of Ti, Cr and Fe. The ground-state wavefunctions for these nuclei required in the calculation of Lambda _{mu c} are generated from the respective prolate and oblate Hartree-Fock (HF) solutions. The HF calculations in the 2p-1f space are performed with a ⁴⁰Ca inert core and using the Tabakin (1964) interaction matrix elements (ME) with appropriate core polarisation corrections. The calculated Lambda _{mu c} are found to be similar for all four interactions. The dependence of Lambda _{mu c} with respect to the variation of the oscillator size parameter and the average neutrino momentum is studied. The calculated Lambda _{mu c} for ⁴⁸Ti, ^50,52,54,56Cr and ⁵⁶Fe compare well with the corresponding experimental results and are consistently better compared with earlier theoretical results.