The experimental measurement of the asymmetry parameter of the P+ decay from the 4+ ground state of Co to the 2.085 MeV 4+ state of ' Fe not only yields a value for the Fermi nuclear matrix element MF, but also has significant Fermi-Gamow-Teller mixing and is of interest for a timereversal invariance test of the weak interaction. To date, nine such measurements have been made and the values of the MF fall into two groups: M~-10 ' and MF -(3-5)X 10 . Our theoretical calculation using the Nilsson model and a one-body spheroidal Coulomb potential yields Mr=2. 3X10 for p=0. 1 and Mr --6X10 for p=0. 2, which are in reasonable agreement with the experimental values of MF -(3-5)X 10
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