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

S. Levit, J. W. Negele, and Z. Paltiel
Phys. Rev. C 22, 1979 – Published 1 November 1980
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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 Tr(HE)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 Tr(HE)1. Application to a many-fermion model in one spatial dimension.

  • Received 20 May 1980

DOI:https://doi.org/10.1103/PhysRevC.22.1979

©1980 American Physical Society

Authors & Affiliations

S. Levit, J. W. Negele, and Z. Paltiel*

  • Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

  • *Present address: Department of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Tel Aviv, Israel.

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Issue

Vol. 22, Iss. 5 — November 1980

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