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Prog. Theor. Phys. Vol. 28 No. 5 (1962) pp. 915-933

[ Full Text PDF : FREE ACCESS (1808K) ]

(γ, 3π) Vertex and Double π0 Photoproduction

Kiyomi Itabashi* and Takeshi Ebata**

*Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo
**Department of Physics, Tohoku University, Sendai

(Received July 24, 1962)

Abstract:

Effects of the (γ, 3π) vertex in the reaction γ+ p →p + 2π0 is studied. It is shown that the (γ, 3π)-part of the amplitude for this reaction is given by the “meson current part” of the amplitude for the single π0 production by a virtual photon, multiplied by a certain numerical factor including the effective coupling constant of the (γ, 3π) vertex. Thus referring to the theory of Fubini, Nambu and Wataghin for the single pion electroproduction, the (γ, 3π)-part of the double π0 photoproduction amplitude can be obtained almost exactly.
It is also shown that, under appropriate experimental conditions, the major contribution to the reaction γ+ p →p + 2π0 comes from the absorption of the incident photons via the (γ, 3π) vertex, unless its effective coupling constant λ be much smaller than the value expected from the simple perturbation calculation. Thus, the experimental study of this reaction would possibly provide an alternative and rather unambiguous method for the determination of λ. An example for such a measurement is proposed, and the cross section under the proposed conditions is calculated.


URL : http://ptp.ipap.jp/link?PTP/28/915/
DOI : 10.1143/PTP.28.915

[ Full Text PDF : FREE ACCESS (1808K) ] Citation:

References:

  1. G. F. Chew, R. Karplus, S. Gasiorovicz and F. Zachariasen, Phys. Rev. 110 (1958), 265[APS].
    P. Federbush, M. L. Goldberger and S. B. Treiman, Phys. Rev. 112 (1958), 642[APS].
  2. J. A. Anderson, Vo X. Bang, P. G. Burke, D. D. Carmony and N. Schmitz, Phys. Rev. Lett. 6 (1961), 365[APS].
    E. Pickup, D. K. Robinson and E. O. Salant, Phys. Rev. Lett. 7 (1961), 191[APS].
    B. C. Maglić, L. W. Alvarez, A. H. Rosenfeld and M. L. Stevenson, Phys. Rev. Lett. 7 (1961), 178[APS].
    A. Pevesner, R. Kraemer, M. Nussbaum, G. Richardson, P. Schlein, R. Strand, T. Toohig, M. Block, A. Engler, R. Gessaroli and C. Meltzer, Phys. Rev. Lett. 7 (1961), 421[APS].
  3. K. Itabashi, M. Kato, K. Nakagawa and G. Takeda, Prog. Theor. Phys. 24 (1960), 529[PTP].
  4. e.g. P. Carruthers and H. A. Bethe, Phys. Rev. Lett. 4 (1960), 536[APS].
    J. S. Ball and W. R. Frazer, Phys. Rev. Lett. 7 (1961), 204[APS].
    See also reference 3).
  5. B. de Tollis and A. Verganelakio, Phys. Rev. Lett. 6 (1961), 371[APS].
  6. M. Kato, Prog. Theor. Phys. 25 (1961), 493[PTP].
  7. M. Kato and M. Kawaguchi, Prog. Theor. Phys. 28 (1962), 424[PTP].
  8. B. de Tollis, E. Ferrari and H. Munczek, Nuovo Cim. 18 (1960), 198.
    J. S. Ball, Phys. Rev. 124 (1961), 2014[APS].
    W. P. Swanson, D. C. Gates, T. L. Jenkins and R. W. Kenney, Phys. Rev. Lett. 5 (1960), 336[APS].
    M. Kawaguchi, Y. Miyamoto and Y. Fujii, Nuovo Cim. 20 (1961), 408.
  9. G. F. Chew, M. L. Goldberger, F. E. Low and Y. Nambu, Phys. Rev. 106 (1957), 1337[APS]; ibid. 106 (1957), 1345[APS].
  10. G. F. Chew and F. E. Low, Phys. Rev. 113 (1950), 1640[APS].
  11. S. Fubini, Y. Nambu and V. Wataghin, Phys. Rev. 111 (1958), 529[APS].
  12. G. F. Chew and F. E. Low, Phys. Rev. 101 (1956), 1570[APS]; ibid. 101 (1956), 1579[APS].
  13. R. E. Gutkosky and F. Zachariasen, Phys. Rev. 103 (1956), 1108[APS].
    K. Itabashi, Phys. Rev. 123 (1961), 2157[APS].
  14. W. R. Frazer and J. R. Fulco, Phys. Rev. 117 (1960), 1609[APS].
    J. Bowcock, W. N. Cottingham and D. Lurié, Nuovo Cim. 16 (1960), 918.
  15. R. Hofstadter and R. Herman, Phys. Rev. Lett. 6 (1961), 293[APS].
    R. M. Littauer, H. F. Schopper and R. R. Wilson, Phys. Rev. Lett. 7 (1961), 144[APS].
  16. For example, see R. Blankenbecler, S. Gartenhaus, R. Huff and Y. Nambu, Nuovo Cim. 17 (1960), 775.
  17. M. Feldman, V. Highland, J. W. DeWire and R. M. Littauer, Phys. Rev. Lett. 5 (1960), 435[APS].
  18. M. Monda, Prog. Theor. Phys. 28 (1962), 904[PTP].
  19. L .S. Rodberg, Phys. Rev. 106 (1957), 1090[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 28 No. 5 (1962) pp. 904-914 :
    Double Pion Photoproduction and the γ-3π Vertex
    Minoru Monda
  2. Progress of Theoretical Physics Vol. 30 No. 4 (1963) pp. 505-520 :
    (3/2, 3/2) Resonance Effect in the Reaction π+N →N+2π
    Kiyomi Itabashi and Takeshi Ebata
  3. Progress of Theoretical Physics Vol. 31 No. 2 (1964) pp. 197-212 :
    Isobar Production in Boson-Nucleon Collision
    Takeshi Ebata
  4. Progress of Theoretical Physics Vol. 32 No. 4 (1964) pp. 598-605 :
    The “ρ-Exchange” Model for the Reaction π+N →N*+ω
    Takao Narita and Takeshi Ebata
  5. Progress of Theoretical Physics Vol. 33 No. 4 (1965) pp. 773-774 :
    Production of N11 Resonance and Properties of the Neutral Vector Mesons
    Takeshi Ebata

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