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Sum Rules for Elastic γγ Scattering? Meson Couplings to Two Photons, and the f-P Relationship

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Part of the book series: Few-Body Systems ((FEWBODY,volume 15/1976))

Abstract

Very general assumptions are used to derive super-convergence type sum rules for elastic γγ scattering. Among the results is a proof that tensor meson decays into two photons must involve predominantly photons with opposite helicities, and estimates for the f → γγ and ɛ → γγ widths. Since these sum rules use full (s, t, u) — crossing, we can also discuss the analytic continuation of the pomeron from {t ≤ O, s large} to {t > O, s ≤ O}. We argue that the pomeron is responsible for the apparent small deviation from ideal mixing in the tensor nonet, in pushing the f meson mass down from its “bare” nonet value, and making its coupling to other states somewhat larger.

Seminar given at XV. Internationale Universitätswochen für Kernphysik,Schladming,Austria,February 16–27,1976.

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References

  1. R. Kogerler and P. Grassberger, CERN reprint TH. 2114 (Jan. 1976).

    Google Scholar 

  2. J.M. Cornwall, D.N. Levin and G. Tiktopolous, Phys. Rev. Lett. 30, 1268 (1973) and 31, 572 (E) (1973); Phys. Rev. 10, 1145 (1974) and 11, 972 (E) (1975).

    Article  ADS  Google Scholar 

  3. C. Llewellin-Smith, in Proceedings of the 14th Scottish Universities Summer School in Physics, 1973 (eds. R.L. Crawford and R.Jennings) ( Academic Press Inc., New York 1974 ).

    Google Scholar 

  4. G, Wanders et al., Nuovo Cim. 63A, 108 (1969). R. Roskies, Phys. Rev. D2, 1649 (1970).

    Article  MathSciNet  ADS  Google Scholar 

  5. P. Grassberger, Nucl. Phys. B70, 141 (1974).

    Article  ADS  Google Scholar 

  6. W. Beusch et al., Phys. Letters, 60B, 101 (1975).

    ADS  Google Scholar 

  7. H. Harari, Phys. Letters, 60B, 172 (1976).

    ADS  Google Scholar 

  8. R.A. Leo, A.Minguzzi and G. Soliniani, Univ. of Lecce preprint UL/IF/26–74/75 (1975).

    Google Scholar 

  9. P.G.O. Freund, Phys. Rev. Lett., 20, 235 (1968). H. Harari, Phys. Rev. Lett. 20, 1395 (1968).

    Article  ADS  Google Scholar 

  10. N. Levy, P. Singer and S. Toaff, Haifa (Technion) preprint (1975).

    Google Scholar 

  11. D. Faiman, H.J. Lipkin and H.R. Rubinstein, Phys. Letters 59B, 269 (1975).

    ADS  Google Scholar 

  12. J.L. Rosner, Phys. Reports, 11C, 189 (1974).

    Article  ADS  Google Scholar 

  13. B. Schrempp-Otto, F.Schrempp and T. Walsh, Phys. Letters, 36B, 463 (1971).

    ADS  Google Scholar 

  14. P. Roy, Phys. Rev. D9, 2631 (1974).

    ADS  Google Scholar 

  15. V.M. Budnev, I.F. Ginzburg and V.G. Serbo, Nuovo Cim. Letters, 7, 13 (1974).

    Article  Google Scholar 

  16. A. Duane et al., Phys. Rev. Lett. 32, 425 (1974).

    Article  ADS  Google Scholar 

  17. D. Morgan, Rutherford preprint RL — 75–133 (1975).

    Google Scholar 

  18. G. Schierholz and K. Sundermeyer, Nucl. Phys. B40, 125 (1972).

    Article  ADS  Google Scholar 

  19. B.R. Mac Gregor, Nucl. Phys. B95, 53 (1975).

    Article  ADS  Google Scholar 

  20. B. Hyams et al., Nuclear Phys. B100, 205 (1975). P. Estabrooks and A.D. Martin, Nucl. Phys. B95, 322 (1975). C.D. Froggatt and J.L. Petersen, Nucl. Phys. B91, 454 (1975).

    ADS  Google Scholar 

  21. C.F. Chew and C. Rosenzweig, Phys. Lett. 58B, 93 (1975). M. Bishari, Phys. Lett. 59B, 461 (1975). C. Schmid and C.Sòrensen, Nucl. Phys. B96, 209 (1975).

    Google Scholar 

  22. M. Aguilar-Benitez et al., Phys. Rev. D6, 29 (1972).

    ADS  Google Scholar 

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© 1976 Springer-Verlag

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Grassberger, P. (1976). Sum Rules for Elastic γγ Scattering? Meson Couplings to Two Photons, and the f-P Relationship. In: Urban, P. (eds) Current Problems in Elementary Particle and Mathematical Physics. Few-Body Systems, vol 15/1976. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8462-2_17

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  • DOI: https://doi.org/10.1007/978-3-7091-8462-2_17

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-8464-6

  • Online ISBN: 978-3-7091-8462-2

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