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The Green formula in the theory of potential scattering and corrections to the eikonal scattering amplitude

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Abstract

A method based on the Green formula is developed for calculating the scattering amplitude of fast charged particles in an external field. The scattering amplitude is representable as an integral over an arbitrary closed surface enveloping the domain of influence of the external field on the particle. Corrections to the eikonal scattering amplitude are simply derived without using the specific form of the potential. The resulting formulas can be used to investigate the interaction between particles and fields of complex configuration.

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References

  1. R. J. Glauber, “High energy collision,” in:Lectures in Theoretical Physics (W. E. Britten and L. G. Dunham, eds.), Vol. 1, Interscience Publishers, New York (1959), p. 315.

    Google Scholar 

  2. R. G. Newton,Scattering Theory of Waves and Particles, McGraw-Hill, New York (1966).

    Google Scholar 

  3. S. J. Wallace,Ann. Phys.,78, 190 (1973).

    Article  ADS  Google Scholar 

  4. H. M. Fried,Basics of Functional Methods and Eikonal Models, Editions Frontieres, Gif-sur-Yuettc (1990).

  5. A. I. Akhiezer and N. F. Shul'ga,Electrodynamics of High Energies in Substances [in Russian], Nauka, Moscow (1993).

    Google Scholar 

  6. A. I. Akhiezer and N. F. Shul'ga,Phys. Rep.,234, 297 (1993).

    Article  ADS  Google Scholar 

  7. R. Blankenbecler and S. D. Drell,Phys. Rev. D,53, 6265 (1996).

    Article  ADS  Google Scholar 

  8. D. S. Saxon and L. I. Schiff,Nuovo Cimento,6, 614 (1957).

    MATH  MathSciNet  Google Scholar 

  9. A. G. Sitenko,Ukr. Fiz. Zh.,4, 152 (1959).

    MathSciNet  Google Scholar 

  10. A. Baker,Phys. Rev. D,6, 3462 (1972).

    Article  ADS  Google Scholar 

  11. S. J. Wallace,Phys. Rev. D,8, 1934 (1973).

    Article  ADS  Google Scholar 

  12. A. Baker,Phys. Rev. D,8, 1937 (1973).

    Article  ADS  Google Scholar 

  13. A. I. Akhiezer, V. F. Boldyshev, and N. F. Shul'ga,Theor. Math. Phys.,23, 311 (1975);Fiz. Elem. Chast. At. Yadra,10, 52 (1979).

    Article  Google Scholar 

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Authors and Affiliations

  1. National Scientific Center, Kharkov Physicotechnical Institute, Kharkov, Ukraine

    N. V. Bondarenko & N. F. Shul'ga

Authors
  1. N. V. Bondarenko
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  2. N. F. Shul'ga
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Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. No. 2, pp. 280–288, May, 1998.

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Bondarenko, N.V., Shul'ga, N.F. The Green formula in the theory of potential scattering and corrections to the eikonal scattering amplitude. Theor Math Phys 115, 588–594 (1998). https://doi.org/10.1007/BF02575459

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  • DOI: https://doi.org/10.1007/BF02575459

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