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Minimal solutions to the conspiracy problem and classification of Regge-pole families. - II

Минималяные рещения для проблемы конспиративности и классификация семеиств полусов редзе. II

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Il Nuovo Cimento A (1965-1970)

Summary

A non group-theoretical approach to the conspiracy problem, based on analyticity, crossing symmetry and factorization, is presented. The solutions to all the physically interesting cases are given. A classification of Regge-pole families is deduced.

Riassunto

Si presenta un approccio non gruppistico al problema delle cospirazioni, basato sulle proprietà di analiticità, simmetria di cressing e fattorizzazione. Si determinano le soluzioni per tutti i casi di interesse fisico e si deduce una classificazione per le famiglie di poli di Regge.

Реэуме

предлагается не теоретико-групповои подход к проблеме конспиративности, основанныи на аналитичности, кроссинг-симметрии и факториэации. получаутся рещения для всех фиэически интересных случаев. проводится лкасси-фикация семеиств полусов редзе.

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References

  1. M. Toller: Nuovo Cimento, 37, 631 (1965).

    Article  MathSciNet  Google Scholar 

  2. A. Sciarrino and M. Toller: Journ. Math. Phys., 7, 1670 (1967).

    Google Scholar 

  3. M. Toller: Nuovo Cimento, 53 A, 671 (1968).

    Article  ADS  Google Scholar 

  4. D. Z. Freedman and J. M. Wang: Phys. Rev., 160, 1560 (1967).

    Article  ADS  Google Scholar 

  5. G. Domokos: Phys. Lett., 24 B, 293 (1967).

    Article  ADS  Google Scholar 

  6. R. Delbourgo, A. Salam and J. Strathdee: Phys. Lett., 25 B, 230 (1967).

    Article  ADS  Google Scholar 

  7. G. Domokos and G. L. Tindle: Phys. Rev., 165, 1906 (1968).

    Article  ADS  Google Scholar 

  8. G. Cosenza, A. Sciarrino and M. Toller: Phys. Lett., 27 B, 398 (1968).

    Article  ADS  Google Scholar 

  9. P. Di Vecchia and F. Drago: Phys. Rev., 178, 2329 (1969).

    Article  ADS  Google Scholar 

  10. D. Z. Freedman and J. M. Wang: Phys. Rev., 160, 1560 (1967).

    Article  ADS  Google Scholar 

  11. P. Di Vecchia and F. Drago: Phys. Lett., 27 B, 387 (1968).

    Article  ADS  Google Scholar 

  12. J. B. Bronzan and C. E. Jones: Phys. Rev. Lett., 21, 564 (1968).

    Article  ADS  Google Scholar 

  13. P. Di Vecchia and F. Drago: Nuovo Cimento, 61 A, 421 (1969).

    Article  ADS  Google Scholar 

  14. J. B. Bronzan, C. E. Jones and P. K. Kuo: Phys. Rev., 175, 2200 (1968).

    Article  ADS  Google Scholar 

  15. A. Capella, A. P. Contogouris and J. Tran Thanh Van: Phys. Rev., 175, 1892 (1968).

    Article  ADS  Google Scholar 

  16. P. Di Vecchia, F. Drago and M. L. Paciello: Nuovo Cimento, 56 A, 1185 (1968).

    Article  ADS  Google Scholar 

  17. M. Jacob and G. C. Wick: Ann. of Phys., 7, 404 (1959).

    Article  ADS  Google Scholar 

  18. M. Gell-Mann, M. L. Goldberger, F. E. Low, E. Marx and F. Zachariasen: Phys. Rev., 133 B, 145 (1964).

    Article  ADS  Google Scholar 

  19. Y. Hara: Phys. Rev., 136 B, 507 (1964).

    Article  ADS  Google Scholar 

  20. L. L. Wang: Phys. Rev., 142, 1187 (1966).

    Article  ADS  Google Scholar 

  21. The factor 1/2, which was present in the constraints (2.4) in ref. (18), has been eliminated becaused of the √2 factor in the definition (2.1) of the helicity amplitudes free s kinematical singularities. The constraints EU have been derived independently by J. D. Stack (23).

    Article  ADS  Google Scholar 

  22. J. D. Stack: Phys. Rev., 171, 1666 (1968).

    Article  ADS  Google Scholar 

  23. M. L. Goldberger, M. T. Grisaru, S. W. Mac Dowell and D. Y. Wong: Phys. Rev., 120, 2250 (1960).

    Article  ADS  MathSciNet  Google Scholar 

  24. F. Arbab and J. D. Jackson: Phys. Rev., 176, 1796 (1968).

    Article  ADS  Google Scholar 

  25. The behaviour given above is different from that reported in ref. (18) because there the singularity structure at t=0 of the residues of the daughter trajectories was included in γ.

    Article  ADS  Google Scholar 

  26. M. Le Bellac: Nuovo Cimento, 55 A, 318 (1968).

    Article  ADS  Google Scholar 

  27. M. A. Jacobs and M. H. Vaughn: Phys. Rev., 172, 1677 (1968).

    Article  ADS  Google Scholar 

  28. G. Cohen-Tannoudji, A. Morel and H. Navelet: Ann. of Phys., 46, 239 (1968).

    Article  ADS  Google Scholar 

  29. S. Frautschi and L. Jones: Phys. Rev., 167, 1335 (1968).

    Article  ADS  Google Scholar 

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Di Vecchia, P., Drago, F. Minimal solutions to the conspiracy problem and classification of Regge-pole families. - II. Nuovo Cimento A (1965-1970) 63, 1247–1266 (1969). https://doi.org/10.1007/BF02754934

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  • DOI: https://doi.org/10.1007/BF02754934

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