A Stochastic Mean-Field Approach For Nuclear Dynamics

Details A Stochastic Mean-Field Approach For Nuclear Dynamics A Stochastic Mean-Field Approach For Nuclear Dynamics

2007-09-17

arxiv.org/abs/0709.2686v2

Physics

Nuclear Physics

Nuclear Theory

Paper is accepted for publication in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2007.09.072

We propose a microscopic stochastic approach to improve description of nuclear dynamics beyond the mean-field approximation at low energies. It is shown that, for small amplitude fluctuations, the proposed model gives a result for the dispersion of a one-body observable that is identical to the result obtained previously through a variational approach. Furthermore, by projecting the proposed stochastic mean-field evolution on a collective path, a generalized Langevin equation is derived for collective variable, which incorporate one-body dissipation and one-body fluctuation mechanism in accordance with quantal fluctuation-dissipation relation.

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