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Physical Review C

Barrier penetration and spontaneous fission in the time-dependent mean-field approximation

Shimon Levit, John W. Negele, Zvi Paltiel

Published Nov 1, 1980• 68 citations
Publisher

Abstract

A mean-field theory is obtained for the spontaneous decay of unstable nuclei by applying the stationary-phase approximation to a functional integral expression for $\mathrm{Tr}{(H\ensuremath{-}E)}^{\ensuremath{-}1}$. The method is applied first to the lifetime of a metastable state in one-dimensional quantum mechanics and subsequently generalized to many-fermion systems. Solutions to the resulting nonlinear self-consistent field equations are presented for a self-bound, saturating many-body system of fermions in one spatial dimension.NUCLEAR REACTIONS, FISSION Derivation of dynamical mean-field equations for spontaneous fission, using imaginary time stationary-phase approximation to a functional integral expression for $\mathrm{Tr}{(H\ensuremath{-}E)}^{\ensuremath{-}1}$. Application to a many-fermion model in one spatial dimension.

DOI
10.1103/physrevc.22.1979

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