Skip to main content
Log in

Approximate inverse scattering method in theJ-matrix approach: The case of two coupled channels

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

A method for constructing separable potentials with oscillator form factors from a given S-matrix is suggested in the framework of the J-matrix approach. The case of elastic scattering with two coupled channels is considered.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. A. Zaitsev,Theor. Math. Phys.,115, 575 (1998).

    Article  MATH  MathSciNet  Google Scholar 

  2. H. A. Yamani and L. Fishman,J. Math. Phys.,16, 410 (1975).

    Article  ADS  Google Scholar 

  3. G. F. Filippov and I. P. Okhrimenko,Sov. J. Nucl. Phys.,32, 480 (1980); G. F. Filippov,Sov. J. Nucl. Phys.,33, 488 (1981).

    Google Scholar 

  4. Yu. I. Nechaev and Yu. F. Smirnov,Sov. J. Nucl. Phys.,35, 808 (1982).

    MATH  Google Scholar 

  5. J. Revai, M. Sotona, and J. Zofka,J. Phys. G,11, 745 (1985).

    Article  ADS  Google Scholar 

  6. P. Navratil and B. R. Barrett,Phys. Rev. C,54, 2986 (1996).

    Article  ADS  Google Scholar 

  7. V. G. J. Stoks, R. A. M. Klomp, C. P. F. Terheggen, and J. J. de Swart,Phys. Rev. C,49, 2950 (1994).

    Article  ADS  Google Scholar 

  8. J. T. Broad and W. P. Reinhardt,J. Phys. B,9, 1491 (1976).

    Article  ADS  Google Scholar 

  9. S. A. Zaitsev, Yu. F. Smirnov, and A. M. Shirokov,Theor. Math. Phys.,117, 1291 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  10. R. G. Newton,Scattering Theory of Waves and Particles (2nd ed.), Springer, New York (1982).

    MATH  Google Scholar 

  11. N. B. Parlett,The Symmetric Eigenvalue Problem, Prentice-Hall, Englewood Cliffs, NJ (1980).

    MATH  Google Scholar 

  12. B. N. Zakhar'ev and A. A. Suz'ko,Potentials and Quantum Scattering: Direct and Inverse Problems [in Russian], Energoatomizdat, Moscow (1985).

    Google Scholar 

  13. V. V. Babikov,Method of Phase Functions in Quantum Mechanics [in Russian], Nauka, Moscow (1976).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 121, No. 3, pp. 424–435, December, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zaitsev, S.A. Approximate inverse scattering method in theJ-matrix approach: The case of two coupled channels. Theor Math Phys 121, 1617–1627 (1999). https://doi.org/10.1007/BF02557207

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02557207

Keywords

Navigation