Modified two-potential approach to tunneling problems

Details Modified two-potential approach to tunneling problems Modified two-potential approach to tunneling problems

2003-02-10

arxiv.org/abs/nucl-th/0302020v2

Phys.Rev.A69:042705,2004

Physics

Nuclear Physics

Nuclear Theory

7 two-column pages, 3 figures, extra-explanation added, Phys. Rev. A, in press

Scientific paper

10.1103/PhysRevA.69.042705

One-body quantum tunneling to continuum is treated via the two-potential approach, dividing the tunneling potential into external and internal parts. We show that corrections to this approach can be minimized by taking the separation radius inside the interval determined by simple expressions. The resulting two-potential approach reproduces the resonance energy and its width, both for narrow and wide resonances. We also demonstrate that, without losing its accuracy, the two-potential approach can be modified to a form resembling the R-matrix theory, yet without any uncertainties of the latter related to the choice of the matching radius.

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