Statistical theory of the many-body nuclear system

Details Statistical theory of the many-body nuclear system Statistical theory of the many-body nuclear system

2001-10-23

arxiv.org/abs/nucl-th/0110056v1

Annals Phys. 296 (2002) 263-286

Physics

Nuclear Physics

Nuclear Theory

27 pages, 3 figures; Dedicated to the memory of Herman Feshbach

Scientific paper

10.1006/aphy.2001.6205

A recently proposed statistical theory of the mean fields associated with the ground and excited collective states of a generic many-body system is extended by increasing the dimensions of the P-space. In applying the new framework to nuclear matter, in addition to the mean field energies we obtain their fluctuations as well, together with the ones of the wavefunctions, in first order of the expansion in the complexity of the Q-space states. The physics described by the latter is assumed to be random. To extract numerical predictions out of our scheme we develop a schematic version of the approach, which, while much simplified, yields results of significance on the size of the error affecting the mean fields, on the magnitude of the residual effective interaction, on the ground state spectroscopic factor and on the mixing occurring between the vectors spanning the P-space.

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