Distribution of electromagnetic transition amplitudes |
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Authors: | J. J. M. Verbaarschot P. J. Brussaard |
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Affiliation: | 1. Max-Planck-Institut für Kernphysik, Heidelberg, Federal Republic of Germany 2. Fysisch Laboratorium, Rijksuniversiteit Utrecht, The Netherlands
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Abstract: | In this paper the distribution of electromagnetic transition amplitudes 〈W′∥O∥W〉 is described in terms of fluctuations about a gaussian secular variation (as a function of initial and final energies) according to the Porter-Thomas assumption. Explicit formulas are derived both for the case (i) that∑ w ′¦〈W′∥O∥W〉¦2 is replaced by its local average and (ii) that∑ W ′¦〈W′∥O∥W〉¦2 is treated as a stochastic variable showing a χ d 2 -distribution. The resulting distribution function appears to possess a monomial tail. Comparisons with shell-model results are made. |
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