WKB approximation for multi-channel barrier penetrability

Abstract

Using a method of local transmission matrix, we generalize the well-known WKB formula for a barrier penetrability to multi-channel systems. We compare the WKB penetrability with a solution of the coupled-channels equations, and show that the WKB formula works well at energies well below the lowest adiabatic barrier. We also discuss the eigen-channel approach to a multi-channel tunneling, which may improve the performance of the WKB formula near and above the barrier.

15 pages, 4 eps figures

References in corpus (3)

• A program for coupled-channels calculations with all order couplings for heavy-ion fusion reactions
• Fusion cross sections at deep subbarrier energies
• Role of virtual break-up of projectile in astrophysical fusion reactions

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