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Phys. Rev. A 70, 032106 (2004) [6 pages]

WKB approximation for multichannel barrier penetrability

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K. Hagino1,2 and A. B. Balantekin3
1Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
2Department of Physics, Tohoku University, Sendai 980-8578, Japan
3Department of Physics, University of Wisconsin, Madison, Wisconsin 53706, USA

Received 30 April 2004; published 21 September 2004

Using the method of the local transmission matrix, we generalize the well-known WKB formula for barrier penetrability to multichannel 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 eigenchannel approach to a multichannel tunneling, which may improve the performance of the WKB formula near and above the barrier.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.032106
DOI:
10.1103/PhysRevA.70.032106
PACS:
03.65.Xp, 03.65.Sq, 24.10.Eq, 25.70.Jj