A statistical calculation of the $\beta^{-}$ -strength function

A microscopic calculation of the Gamow-Teller strength between the 0 /sup +/ ground state of /sup 208/Pb and the 1/sup +/ particle-hole states of /sup 208/Bi assuming the particle-hole matrix elements as random numbers with some specified distribution, is described. It is observed that under certain conditions for the two-body matrix elements, a G.T. resonance occurs. The stability of this collective state along with the accompanying low energy beta -strength tail is studied for various samples of p-h matrix elements.