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Abstract:
On the premise of considering the Pauli exclusion principle strictly, we have obtained an exact general formula of multi-particle and multi-hole state densities for any singleparticle Hamiltonian. Besides, by using the semi-classical Thomas-Fermi approximation, we have-calculated the state densities for three-dimensional linear oscillators and the state densities of 1p-10p,1h-7h and 1p1h-6p6h. We have also discussed the effect of the Pauli exclusion principle and made comparisons with the state densities of the equi-interval model generally used in the exciton model. The results indicate that the equi-interval single-particle density formula is a good approximation for the nuclear reactions induced by a nucleon.
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