Statistics of Nuclear Levels

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Abstract
All the available experimental evidence relating to the statistical distribution of dense nuclear levels is collected together and analysed. The simplest adequate nuclear equation of state is U = (1/11)At2 - t + (1/8)A2/3t7/3 MeV which leads to D0 = 0.11A2(U + t)2exp[-{2(AU/11)1/2 + (3/32)(11U)2/3}] MeV for the spacing of levels of zero angular momentum. The significance of these formulae is discussed. An appendix refines the theoretical level density formula for a Fermi gas with a fixed number of particles; this analysis incidentally yields a slightly more accurate form of the simple Hardy-Ramanujan asymptotic formula for the number of partitions of a positive integer.

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