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Phys. Rev. C 79, 044003 (2009) [11 pages]

Exact three-dimensional wave function and the on-shell t matrix for the sharply cut-off Coulomb potential: Failure of the standard renormalization factor

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W. Glöckle1, J. Golak2, R. Skibiński2, and H. Witała2
1Institut für theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
2M. Smoluchowski Institute of Physics, Jagiellonian University, PL-30059 Kraków, Poland

Received 5 March 2009; published 28 April 2009

See accompanying Physics Synopsis

The three-dimensional wave function for a sharply cut-off Coulomb potential is analytically derived. The asymptotic form of the related scattering amplitude reveals a failure of the standard renormalization factor which is believed to be generally valid for any type of screening.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.79.044003
DOI:
10.1103/PhysRevC.79.044003
PACS:
21.45.Bc, 25.10.+s, 25.40.Cm

See Also

Comment: Konstantin A. Kouzakov, Yuri V. Popov, and Vladimir L. Shablov, Comment on “Exact three-dimensional wave function and the on-shell t matrix for the sharply cut-off Coulomb potential: Failure of the standard renormalization factor”, Phys. Rev. C 81, 019801 (2010).

Comment: A. Deltuva, A. C. Fonseca, and P. U. Sauer, Comment on “Exact three-dimensional wave function and the on-shell t matrix for the sharply cut-off Coulomb potential: Failure of the standard renormalization factor”, Phys. Rev. C 81, 019802 (2010).