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Journal of Mathematical Physics / Volume 27 / Issue 1

J. Math. Phys. 27, 249 (1986); http://dx.doi.org/10.1063/1.527369 (13 pages)

Charged particles with a short‐range force: Perturbation theory with respect to the range and to additional effects

F. Gesztesy, G. Karner, and L. Streit

Zentrum für Interdisziplinäre Forschung (ZIF), Universität Bielefeld, D‐4800 Bielefeld 1, Federal Republic of Germany

(Received 12 April 1985; accepted 17 June 1985)

Previously derived Blatt–Jackson type formulas for Coulomb corrected scattering lengths are generalized to include the effect of an additional strong interaction potential in first Born approximation. It is shown that the strong model dependence on the hadronic interaction is considerably reduced as soon as the finite extent of the charge is taken into account.

KEYWORDS and PACS

Keywords

CHARGED PARTICLES, COULOMB SCATTERING, POTENTIAL SCATTERING, HADRONS, SCATTERING LENGTHS, COULOMB FIELD, PERTURBATION THEORY, BORN APPROXIMATION, SINGULARITY, DISTURBANCES, BOUNDARY CONDITIONS

PACS

  • 11.80.-m

    Relativistic scattering theory

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.527369

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
    S. Albeverio, L. S. Ferreira, F. Gesztesy, R. Høegh-Krohn, and L. Streit, Phys. Rev. C 29, 680 (1984).

    V. D. Mur, A. E. Kudryavtsev, and V. S. Popov, Sov. J. Nucl. Phys. 37, 844 (1983).

    R. G. Newton, J. Math. Phys. 18, 1348 (1977JMAPAQ000018000007001348000001).

    J. M. Blatt and J. D. Jackson, Rev. Mod. Phys. 22, 77 (1950).

    G. F. Chew and M. L. Goldberger, Phys. Rev. 75, 1637 (1949)
    J. Schwinger, Phys. Rev. 78, 135 (1950).

    D. Bollé and F. Gesztesy, Phys. Rev. Lett. 52, 1469 (1984)
    Phys. Rev. A 30, 1279 (1984).

    W. Bulla and F. Gesztesy, J. Math. Phys. 26, 2520 (1985JMAPAQ000026000010002520000001).


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