Max-Planck-Institut für Kernphysik, 69029 Heidelberg, FRG
Institut für Theoretische Physik der Technischen Universität, 01062 Dresden, FRG

Propagation of a K-body force into A-body space

M. Granzow, H. L. Harney, and H. Kalka

submitted to Phys. Rev. C

Abstract:

The calculation of the spreading width of a compound nuclear reaction caused by a symmetry breaking K-body force acting in an A-body system (, usually K=2) involves the determination of the local average square matrix element in A-body space. This problem is reduced to finding the global mean square matrix element in K-body space. The result is a compact formula for the spreading width which contains as an input. Our method is based on the dilute gas approximation for excitons close to the Fermi edge. The relative strength of the contributions of operators with different exciton rank as well as the connection between the energy dependence of the spreading width and the body rank of the underlying interaction are established.

24.60.Dr, 24.80.Dc, 25.70.Gh

 
• Introduction
• Concepts
  • Spaces and bases
  • Conventions of summation
  • Interactions for bodies and excitons
  • Partial and total level densities
• Procedure
  • Propagation into the Subspace
  • Propagation into the A-body space
• Results
  • Transition rates in the exciton model
  • Spreading width in A-body space
  • Discussion
• GOE correlations in the exciton picture
• Proof of equation ()