Skip to main content
Log in

The Serpukhov effect bifurcation

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

The phase analysis of the total cross-section and the mean multiplicity on the plane have been carried out. The models take into account the birth dynamics of the resonance systems with different strengths of correlation in QCD. The Serpukhov effect bifurcation and the Volterra-Gause law are discussed as a result of the incomplete saturation of the multicomponent interactions at the distribution of the same quark substratum.

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. Ya. Z. Darbaidze andV. A. Rostovtsev:Nuovo Cimento A,103, 1513 (1990);Ya. Z. Darbaidze andV. A. Rostovtsev:Nuovo Cimento A,104, 13 (1991).

    Article  ADS  Google Scholar 

  2. V. A. Matveev, R. M. Muradian andA. N. Tavkehlidze:Lett. Nuovo Cimento,7, 719 (1973);S. J. Brodsky andG. R. Farrar:Phys. Rev. Lett.,31, 1153 (1973).

    Article  Google Scholar 

  3. N. N. Bogolubov:Problems of the Dynamical Theory in Statistical Physics (Gostekhizdat, Moscow, 1946).

    Google Scholar 

  4. Z. Koba, H. B. Nielsen andP. Olesen:Nucl. Phys. B,40, 317 (1972); UA5Collaboration (G. A. Alner et al.):Phys. Lett. B,160, 193 (1985);Phys. Lett. B,167, 476 (1986).

    Article  ADS  Google Scholar 

  5. E. H. Kerner:Bull. Math. Biophys.,19, 121 (1957).

    Article  MathSciNet  Google Scholar 

  6. V. Volterra:Leçon sur la théorie mathématique de la lutte pour la vie (Gauthier-Villars, Paris, 1931);A. J. Lotka:Elements of Physical Biology (Williams and Wilkins, Baltimore, Md., 1934).

    Google Scholar 

  7. N. S. Goel, S. C. Maitra andE. W. Montroll:Rev. Mod. Phys.,43, 231 (1971).

    Article  MathSciNet  ADS  Google Scholar 

  8. A. Giovannini:Nucl. Phys, B,161 429 (1979);M. Anselmino et al.:Nuovo Cimento A,62, 253 (1981).

    Article  ADS  Google Scholar 

  9. G. Nicolis andI. Prigogine:Self-Organization in Nonequlibrium Systems (Wiley Interscience Publication, New York. N.Y., 1977);J. D. Murray:Lectures on Nonlinear Differential Equations (Clarendon Press, Oxford, 1977).

    Google Scholar 

  10. J. M. Smith:Models in Ecology (Cambridge University Press, London, 1974);G. M.: Zaslavski andR. Z. Sagdeev:Introduction to the Nonlinear Physics (Nauka, Moscow, 1988).

    MATH  Google Scholar 

  11. A. A. Andronov, E. A. Leontevich, I. I. Gordon andA. G. Maier:A Qualitative Theory of Dynamical Systems of the Second-order (Nauka, Moscow, 1966);A. A. Andronov, E. A. Leontevich, I. I. Gordon andA. G. Maier:A Bifurcation Theory of Dynamical Systems in the Phase-Plane (Nauka, Moscow, 1966);H. Kocak:Differential and Difference Equations through Computer Experiments, PHASER:An Animator/Simulator for Dynamical Systems for IBM Personal Computers (Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1986).

    Google Scholar 

  12. G. F. Gause:The Struggle for Existence (Williams and Wilkins, Baltimore, Md., 1934).

    Book  Google Scholar 

  13. S. P. Denisov, S. V. Donskov, Yu. P. Garin, A. P. Petrukhin, Yu. D. Prokoshkin andD. A. Stoyanova:Nucl. Phys. B,65, 1 (1973);A. Carrol, I.-H. Chiang, T. F. Kycia, K. K. Li, M. D. Marx, D. C. Rahm, W. F. Baker, D. P. Eartly, G. Giacomelli, A. M. Jonckeere, P. F. M. Koehler, P. O. Maruz, R. Rubinstein andO. Fackler:Phys. Lett. B,80, 423 (1979).

    Article  ADS  Google Scholar 

  14. A. M. Zhabotinski:Concentrated Auto-Oscillation (Moscow, Nauka, 1974);Yu. M. Romanovski, N. V. Ctepanova andD. S. Chernavski:Mathematical Biophysics (Nauka, Moscow, 1984).

    Google Scholar 

  15. A. A. Logunov, M. A. Mestvirishvili andO. A. Khrustalev:Part. Nucl.,3, 515 (1972);P. V. Landshoff andA. Donnachie:Nucl. Phys. B,267, 690 (1986).

    Google Scholar 

  16. S. G. Gorishny, A. L. Kataev andS. A. Larin:Phys. Lett. B,212, 238 (1988);A. P. Contogouris andN. Mebarki:Phys. Rev. D,39, 1464 (1989).

    Article  ADS  Google Scholar 

  17. CERN-Napoli-Pisa-Stony Brook Collaboration (M. Ambrosio et al.:Phys. Lett. B,115, 495 (1982); UA5Collaboration (R. E. Ansorge et al.):Z. Phys. C,43, 357 (1989); UA5Collaboration (G. J. Alner et al.:)Phys. Rep.,154, 247 (1987).

    Article  Google Scholar 

  18. N. S. Amaglobeli, Ya. Z. Darbaidze, A. N. Sissakian, L. A. Slepchenko andYu. V. Tevzadze: Preprint JINR E2-82-107, Dubna (1982);Ya. Z. Darbaidze, Yu. V. Tevzadze andL. A. Slepchenko:Bull. Acad. Sci. CSSR,113, 289, (1984).

  19. D. Brick, D. Fong, M. Heller, A. M. Shapiro, U. Widgoff, F. Bruyant, D. Bogert, M. Johnson, R. Burnstein, C. Fu, D. Petersen, M. Robertson, H. Rubin, R. Sard, A. Snyder, J. Tortora, E. D. Alyea Jr.C.-Y. Chien, P. Lucas, A. Pevsner, R. Zdanis, F. Barreiro, O. Benary, J. E. Brau, J. Grunhaus, E. S. Hafen, R. I. Hulsizer, U. Karshon, V. Kistiakowski, A. Levy, A. Napier, I. A. Pless, J. P. Silverman, P. C. Trepagnier, J. Wolfson, R. K. Yamamoto, H. Cohn, P. F. Jacques, T. C. Ou, R. J. Plano, T. L. Watts, E. B. Brucker, E. L. Koller, P. Stamer, S. Taylor, W. Bugg, G. Condo, T. Handler, E. Hart, H. Kraybill, D. Ljung, T. W. Ludlam andH. D. Taft:Phys. Rev. D,20, 2123 (1979).

    Article  ADS  Google Scholar 

  20. Ya. Z. Darbaidze, A. N. Sissakian, L. A. Slepchenko andG. T. Torosian:Fortschr. Phys.,33, 5, 299 (1985).

    Article  Google Scholar 

  21. E. Albini, P. Capiluppi, G. Giacomelli andA. M. Rossi:Nuovo Cimento A,32, 101 (1976).

    Article  ADS  Google Scholar 

  22. A. Wroblewski:Acta Phys. Polon. B,4, 857 (1973);R. Szwed, G. Wrochna andA. K. Wroblewski:Mystery of the Negative Binomial Distribution, Warsaw University preprint IFD/3/87 (1987).

    Google Scholar 

  23. L. Van Hove:Phys. Lett. B,232, 509 (1989);A. Bialas andR. Peschanski:Nucl. Phys. B,273, 703 (1986);I. M.: Dremin:Usp. Fiz. Nauk 152, 531 (1987).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Darbaidze, Y.Z., Rostovtsev, V.A. The Serpukhov effect bifurcation. Nuov Cim A 104, 1801–1808 (1991). https://doi.org/10.1007/BF02812494

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02812494

PACS

Navigation