This article is cited in 5 papers

The length and effective radius of two-dimensional scattering of a quantum particle by a centrally symmetric short-range potential

V. V. Pupyshev

Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

Abstract: We derive and qualitatively analyze nonlinear and linear equations for the scattering length and effective radius. We find and investigate exact solutions of these equations in the case of a centrally symmetric rectangular potential and elucidate a relation between the effective radius and the scattering length. We are especially interested in the cases of zero and unbounded scattering lengths.

Keywords: two-dimensional scattering, short-range potential, scattering length, effective radius.

Received: 29.07.2013
Revised: 20.05.2014

DOI: 10.4213/tmf8582

 English version: Theoretical and Mathematical Physics, 2014, 180:3, 1051–1072

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