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Phys. Rev. A 63, 062721 (2001) [11 pages]

Three-potential formalism for the three-body scattering problem with attractive Coulomb interactions

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Z. Papp1,2, C-.Y. Hu1, Z. T. Hlousek1, B. Kónya2, and S. L. Yakovlev3
1Department of Physics and Astronomy, California State University, Long Beach, California 90840
2Institute of Nuclear Research of the Hungarian Academy of Sciences, Debrecen, Hungary
3Department of Mathematical and Computational Physics, St. Petersburg State University, St. Petersburg, Russia

Received 9 February 2001; published 16 May 2001

A three-body scattering process in the presence of Coulomb interaction can be decomposed formally into two-body single channel scattering, two-body multichannel scattering, and genuine three-body scattering. The corresponding integral equations are coupled Lippmann-Schwinger and Faddeev-Merkuriev integral equations. We solve these by applying the Coulomb-Sturmian separable expansion method. We present elastic scattering and reaction cross sections of the e++H system both below and above the H(n=2) threshold. We find excellent agreements with previous calculations in most cases.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.63.062721
DOI:
10.1103/PhysRevA.63.062721
PACS:
34.10.+x, 31.15.-p, 34.85.+x, 21.45.+v