- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Dispersion Calculation of Isoscalar 3π and KK¯ Electromagnetic Form Factors

Gordon J. Aubrecht, II*

  • Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540

  • *Present address: High Energy Physics Laboratory, Department of Physics, The Ohio State University, Columbus, Ohio 43210.
PDF

Phys. Rev. D 3, 1622 – Published 1 April, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.1622

Abstract

Using dispersion theory and the assumption that the three-pion cut is well represented by the ρπ cut, the I=0, J=1 ρπ and KK¯ scattering amplitudes are calculated from a matrix integral equation, using only right-hand cuts, in an effective-range-type approximation. Subtraction constants are determined by the experimental masses and widths of the isoscalar vector resonances. There are no ghosts (spurious first-sheet poles) in the model. The ρπ and KK¯ isoscalar form factors are calculated and compared to the available e+e− colliding-beam data near the ω and φ masses. The isoscalar charge radii are also computed. The agreement of the model with the experimental values is satisfactory. An estimate Γ(ρ→π0γ)≃40 keV is obtained (the decay has not yet been observed).

View figure in article

References (43)

  1. R. Hofstadter, Nuclear and Nucleon Structure (Benjamin, New York, 1963) Richard Wilson, Phys. Today 22, No. 1, 47 (1969)

  2. Omitted endnote

  3. Omitted endnote

  4. M. Gell-Mann, D. Sharp, and W. G. Wagner, Phys. Rev. Letters 8, 261 (1962)
  5. J. H. Schwarz, Phys. Rev. 175, 1852 (1968)

  6. Omitted endnote

  7. Omitted endnote

  8. Ling-Lie Wang, Phys. Rev. 142, 1187 (1966) T. L. Trueman, ibid. 173, 1684 (1968) J. Franklin, ibid. 170, 1606 (1968)
  9. P. D. B. Collins and E. J. Squires, Regge Poles in Particle Physics (Springer, New York, 1968)
  10. E. J. Squires, Complex Angular Momentum and Particle Physics (Benjamin, New York, 1964)
  11. K. Huang, in Theories of Strong Interaction at High Energies, Brookhaven Summer School in Elementary Particle Physics, 1969 (unpublished)
  12. M. Goldberger and K. M. Watson, Collision Theory (Wiley, New York, 1965)
  13. R. Omnès, Nuovo Cimento 8, 316 (1958)
  14. M. Jacob and G. F. Chew, Strong Interaction Physics (Benjamin, New York, 1964)
  15. J. D. Bjorken and M. Nauenberg, Phys. Rev. 121, 1250 (1961)
  16. H. Pilkuhn, The Interactions of Hadrons (North-Holland, Amsterdam, 1967), Chap. 3
  17. N. Barash-Schmidt, A. Barbaro-Galtieri, C. Bricman, S. B. Derenzo, L. R. Price, A. Rittenberg, M. Roos, A. H. Rosenfeld, P. Söding, and C. G. Wohl, Rev. Mod. Phys. 42, 87 (1970)
  18. [12], Sec. 8.5 E. P. Wigner, Phys. Rev. 98, 145 (1955) F. T. Smith, ibid. 118, 349 (1960)
  19. G. Barton, Dispersion Techniques in Field Theory (Benjamin, New York, 1965)
  20. S. D. Drell and F. Zachariasen, Electromagnetic Structure of Nucleons (Oxford U. P., London, 1965)
  21. M. Gell-Mann and F. Zachariasen, Phys. Rev. 124, 953 (1961)
  22. J. J. J. Kokkedee, The Quark Model (Benjamin, New York, 1969)
  23. J. H. Schwarz, Phys. Rev. 179, 1486 (1969)
  24. G. J. Gounaris and J. J. Sakurai, Phys. Rev. Letters 21, 244 (1968)

  25. Omitted endnote

  26. M. Bander, P. W. Coulter, and G. L. Shaw, Phys. Rev. Letters 14, 270 (1965) J. Finkelstein, Phys. Rev. 140, B175 (1965) W. D. Heiss, Nuovo Cimento 52A, 1201 (1967)
  27. G. Frye and R. L. Warnock, Phys. Rev. 130, 478 (1963)
  28. E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge U. P., New York, 1963), 4th ed., Chap. 6

  29. Omitted endnote

  30. E. C. Titchmarsh, The Theory of Functions (Oxford U. P., Oxford, 1958)
  31. A. Kanazawa and M. Sugawara, Phys. Rev. 123, 1895 (1961)
  32. J. B. Augustin, D. Benaksas, J. Buon, V. Gracco, J. Haissinski, D. Lalanne, F. Laplanche, J. Le Francois, P. Lehmann, P. Martin, F. Rumpf, and E. Silva, Phys. Letters 28B, 513 (1969) J. E. Augustin, J. C. Bizot, J. Buon, B. Delcourt, J. Haissinski, J. Jeanjean, D. Lalanne, P. C. Marin, H. Nguyen Ngoc, J. Perez-y-Jorba, F. Richard, F. Rumpf, and D. Treille, ibid. 28B, 517 (1969) J. Haissinski, in Proceedings of the Conference on ππ and Kπ Interactions (Argonne National Laboratory, 1969), p. 373 University of Paris, 1970 (unpublished) J. Perez-y-Jorba, in Proceedings of the Daresbury Conference on High Energy Photon and Electron Interactions, Daresbury, England, 1970, p. 213 (unpublished) J. C. Bizot, J. Buon, Y. Chatelus, J. Jeanjean, D. Lalanne, H. Nguyen Ngoc, J. Perez-y-Jorba, P. Petroff, F. Richard, F. Rumpf, and D. Treille, Phys. Letters 32B, 416 (1970)
  33. V. A. Sidorov, in Proceedings of the Daresbury Conference on High Energy Photon and Electron Interactions, Daresbury, England, 1970, p. 227 (unpublished)
  34. G. J. Aubrecht, II, Phys. Rev. D 1, 284 (1970)
  35. J. D. Bjorken, Phys. Rev. Letters 4, 473 (1960)
  36. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vol. I
  37. J. Mathews and R. L. Walker, Mathematical Methods of Physics (Benjamin, New York, 1964)
  38. G. Chew, S-Matrix Theory of Strong Interactions (Benjamin, New York, 1963)
  39. F. Zachariasen and C. Zemach, Phys. Rev. 128, 894 (1962)
  40. J. J. Sakurai, Currents and Mesons (Chicago U. P., Chicago, 1969)
  41. H. Harari, Phys. Rev. 155, 1565 (1967)
  42. Y. Eisenberg, B. Haber, E. E. Ronat, A. Shapiro, and G. Yekutieli, Phys. Rev. Letters 25, 764 (1970)
  43. E. B. Hughes, T. A. Griffy, M. R. Yearian, and R. Hofstadter, Phys. Rev. 139, B458 (1965) C. W. Akerlof, K. Berkelman, G. Rouse, and M. Tigner, ibid. 135, B810 (1964) S. Gasiorowicz, Elementary Particle Physics (Wiley, New York, 1966)

Outline

Information

Phys. Rev. D 3, 1622– Published 1 April, 1971
  • Received 25 November 1970

© 1971 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation