WKB approximation for multi-channel barrier penetrability

Details WKB approximation for multi-channel barrier penetrability WKB approximation for multi-channel barrier penetrability

2004-04-30

arxiv.org/abs/nucl-th/0404092v1

Phys.Rev. A70 (2004) 032106

Physics

Nuclear Physics

Nuclear Theory

15 pages, 4 eps figures

Scientific paper

10.1103/PhysRevA.70.032106

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.

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