Skip to main content
SpringerLink
Log in

Analytical approach to the problem of constructing operators of effective pion-nucleon interaction at low and intermediate energies

  • Proceedings of the LVI International Conference On Nuclear Spectroscopy and Nuclear Structure “NUCLEUS-2006”
  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The dynamics of pion-nucleon scattering in the S 11 and S 31 states has been investigated on the basis of the analytical approach to construction of operators of effective interactions between compound systems of strongly interacting particles with allowance for inelasticity effects at incident pion kinetic energies T < 1.5–2.5 GeV. Information about the structure of discontinuities of partial πN-scattering amplitudes in the states under consideration is derived using the available phase-shift data and effective local potentials are constructed by solving the inverse scattering problem. The possibility of description of discontinuities of partial amplitudes at dynamical cuts using exchange mechanisms in the t-and u-scattering channels and contact interactions of the Lagrangian of the chiral perturbation theory is analyzed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Olsson, M.G. and Osypowski, E.T., Nucl. Phys. B, 1975, vol. 101, p. 136.

    Article  ADS  Google Scholar 

  2. Pearce, B.C. and Jennings, B.K., Nucl. Phys. A, 1991, vol. 528, p. 655.

    Article  ADS  Google Scholar 

  3. Gross, F. and Surya, Y., Phys. Rev. C: Nucl. Phys., 1993, vol. 47, p. 703.

    ADS  Google Scholar 

  4. Goudsmit, P.F.A. et al., Nucl. Phys. A, 1994, vol. 575, p. 673.

    Article  ADS  Google Scholar 

  5. Suchütz, C., Haidenbauer, J., Speth, J., and Durso, J.W., Phys. Rev. C: Nucl. Phys., 1998, vol. 57, p. 1464.

    ADS  Google Scholar 

  6. Sander, M. and von Geramb, H.V., Phys. Rev. C: Nucl. Phys., 1997, vol. 56, p. 1218.

    ADS  Google Scholar 

  7. Coronos, C. and Landau, R.H., Phys. Rev. C: Nucl. Phys., 1981, vol. 24, p. 605.

    ADS  Google Scholar 

  8. Landau, R.H. and Tabakin, F., Phys. Rev. C: Nucl. Phys., 1972, vol. 5, p. 2746.

    ADS  Google Scholar 

  9. Weinberg, S., Nucl. Phys. B, 1991, vol. 363, p. 3.

    Article  ADS  Google Scholar 

  10. Cahill, R.T., Nucl. Phys. A, 1992, vol. 543, p. 63.

    Article  ADS  Google Scholar 

  11. Torikoshi, K. and Ellis, P.J., Phys. Rev. C: Nucl. Phys., 2003, vol. 67, 015208.

  12. Ellis, P.J. and Tang, H.-B., Phys. Rev. C: Nucl. Phys., 1998, vol. 57, p. 3356.

    ADS  Google Scholar 

  13. Fettes, N., Meiner, U.-G., and Steininger, S., Nucl. Phys. A, 1998, vol. 640, p. 199.

    Article  ADS  Google Scholar 

  14. Bernard, V., Kaiser, N., and Meiner, U.-G., Nucl. Phys. A, 1997, vol. 615, p. 483.

    Article  ADS  Google Scholar 

  15. Safronov, A.N. and Safronov, A.A., Yad. Fiz., 2006, vol. 69, p. 408 [Phys. At. Nucl. (Engl. Transl.), vol. 69, p. 384].

    Google Scholar 

  16. Safronov, A.N. and Safronov, A.A., Izv. Akad. Nauk, Ser. Fiz., 2004, vol. 68, no. 8, p. 1195.

    Google Scholar 

  17. Safronov, A.N. and Safronov, A.A., Izv. Akad. Nauk, Ser. Fiz., 2006, vol. 70, no. 2, p. 258.

    Google Scholar 

  18. Landau, L.D., Zh. Eksp. Teor. Fiz., 1959, vol. 37, p. 62 [Sov. Phys. JETP (Engl. Transl.), vol. 10, p. 45].

    Google Scholar 

  19. Collins, P.D.B. and Squires, E.J., Regge Polesin Particle Physics, Berlin: Springer Verlag, 1968. Translated under the title Polyusa Redzhe v fizike chastits, Moscow: Mir, 1971.

    Google Scholar 

  20. Eden, R.J., High Energy Collisions of Elementary Particles, Cambridge: Univ. Press, 1967.

    Google Scholar 

  21. Cutkosky, R.E., J. Math. Phys., 1960, vol. 1, p. 429.

    Article  MATH  Google Scholar 

  22. Marchenko, V.A., Dokl. Akad. Nauk SSSR, 1955, vol. 104, p. 695.

    MATH  Google Scholar 

  23. Chadan, K. and Sabatier, P.C., Inverse Problems in Quantum Scattering Theory, Berlin: Springer Verlag, 1977. Translated under the title Obratnye zadachi v kvantovoi teorii rasseyaniya, Moscow: Mir, 1980.

    MATH  Google Scholar 

  24. Shirkov, D.V., Serebryakov, V.V., and Meshcheryakov, V.A., Dispersionnye teorii sil’nykh vzaimodeistvii pri nizkikh energiyakh (Dispersion Theories of Strong Interactions at Low Energy), Moscow: Nauka, 1967.

    Google Scholar 

  25. Arndt, R.A. et al., computer code SAID, online program at http://gwdac.phys.gwu.edu.

  26. Safronov, A.N. and Safronov, A.A., Yad. Fiz., 2004, vol. 67, p. 2269 [Phys. At. Nucl. (Engl. Transl.), vol. 67, p. 2245].

    Google Scholar 

  27. Krehl, O., Hanhart, C., Krewald, S., and Speth, J., Phys. Rev. C: Nucl. Phys., 2000, vol. 62, 025 207.

Download references

Author information

Authors and Affiliations

  1. Skobel’tsyn Research Institute of Nuclear Physics, Moscow State University, Moscow, 119992, Russia

    A. N. Safronov & A. A. Safronov

Authors
  1. A. N. Safronov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Safronov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © A.N. Safronov, A.A. Safronov, 2007, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2007, Vol. 71, No. 6, pp. 889–896.

About this article

Cite this article

Safronov, A.N., Safronov, A.A. Analytical approach to the problem of constructing operators of effective pion-nucleon interaction at low and intermediate energies. Bull. Russ. Acad. Sci. Phys. 71, 861–868 (2007). https://doi.org/10.3103/S1062873807060214

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873807060214

Keywords

Search

Navigation