Abstract
A review of calculations of GT (Gamow-Teller) strength functions using the Lanczos algorithm is presented for the nuclei 26Mg, 54Fe, 56Fe, 58Ni, 60Ni, and 90Zr. A comparison with experimental results is made in each case using the PMM (all cases) and Chung-Wildenthal ( 26Mg only) Hamiltonians. The finding is that in general the agreement between the experimental and theoretical shapes ranges from good to excellent but the theoretical total strengths are too large by a factor of .45 to .55, the so-called GT quenching factor. The introduction of a limited set of 2p/2h parent-state correlations for Zr did not materially change this finding. However only a central force was used in all calculations presented here (except for 26Mg) and it is possible that (for example) a tensor force in combination with more extended 2p/2h parent state correlations would lead to a highly dispersed GT strength for excitations in the region 15 Mev to 60 Mev or even higher, in consonance with the predictions of Arima and Bertstch and Hamamoto. An important caveat issuing from the present work is the need to ensure the consistency of the parent and daughter shell model bases as otherwise an unphysical dispersal of the Fermi strength as well as an equally unphysical enhancement and displacement of GT strength to high excitation energies (E x > 20 MeV) can occur.
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