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Nuclear levelwidth; stochastic method; density matrix; particle-vibration coupling

We investigate here the origin of nuclear levelwidth as an effect of the coupling of particle mode and the surface vibration mode of the nucleus. This interaction is taken to be stochastic in nature, characterized by a single correlation timet₀, the random nature of the interaction originating from the partition of the total hamiltonian into those of the two modes. The Redfield equation of motion for the density matrix for the particle mode is solved. The solution of the Redfield equation shows that the occupation number in any particle state decays with a time constant depending on the correlation timet₀ and the quantum-mechanical matrix elements of the interaction hamiltonian. The inverse of this decay time will give the width of this level. Numerical calculations have been done for₈₂²⁰⁷Pb₁₂₅.

N Rudra¹ P Rudra¹

1. Department of Physics, University of Kalyani, Kalyani - 741 235, India

Published

May 1986

Manuscript received

13 November 1985

Manuscript revised

28 February 1986