Abstract
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 incorporates one-body dissipation and one-body fluctuation mechanism in accordance with quantal fluctuation–dissipation relation.
Highlights
In the mean-field description of a many-body system, the time-dependent wave function is assumed to be a Slater determinant constructed with A number of time-dependent singleparticle wave functions Φj(r, t)
The mean-field approximation includes, so called, the one-body dissipation mechanism and it provides a good approximation for the average evolution of the collective motion at sufficiently low energies around 10MeV per nucleon, at which two-body dissipation and fluctuation mechanism do not have an important influence on dynamics
We propose a microscopic stochastic approach to improve description of nuclear dynamics beyond the mean-field approximation at low energies
Summary
We propose a microscopic stochastic approach to improve description of nuclear dynamics beyond the mean-field approximation at low energies. 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. 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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