Parametrization of Charged-Pion Photoproduction in Terms of Complex Regge Poles

J. S. Ball; H. J. W. Müller; B. K. Pal

doi:10.1103/PhysRevD.4.2065

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Parametrization of Charged-Pion Photoproduction in Terms of Complex Regge Poles

J. S. Ball^*, H. J. W. Müller^†, and B. K. Pal^‡

Lawrence Radiation Laboratory, University of California, Berkeley, California 94720

^*Permanent address: Physics Department, University of Utah, Salt Lake City, Utah 84112.
^†NATO Fellow.
^‡Present address: Department of Physics, Imperial College of Science and Technology, London SW7, England.

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Phys. Rev. D 4, 2065 – Published 1 October, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.2065

Abstract

A fit of forward charged-pion photoproduction data is attempted by parametrizing Regge pole-cut combinations in the region $t < 0$ in terms of complex conjugate pairs of Regge poles. In particular, the pion-Pomeranchukon cut is taken into account by this parametrization; in addition to the pion, exchange of the $A_{2}$ meson is considered. Predictions are made for the differential cross section and the asymmetry parameters for pion production by linearly polarized photons and polarized target nucleons. The results are found to be in good agreement with pion photoproduction data for laboratory photon energies ranging from 3.4 to 18 GeV and $t$ values up to -0.2 ${(G e V / c)}^{2}$ .

References (22)

J. S. Ball, W. R. Frazer, and M. Jacob, Phys. Rev. Letters 20, 518 (1968)
F. S. Henyey, Phys. Rev. 170, 1619 (1968)
J. D. Jackson and C. Quigg, Phys. Letters 29B, 236 (1969) ibid.33B, 444 (1970) Nucl. Phys. B (to be published)
Michigan group: F. Henyey, G. L. Kane, J. Pumplin, and M. Ross, Phys. Rev. Letters 21, 946 (1968) Phys. Rev. 182, 1579 (1969) M. Ross, in Proceedings of Regge Pole Conference, University of California at Irvine, 1969 (unpublished)
M. L. Blackmon, G. Kramer, and K. Schilling, Nucl. Phys. B12, 495 (1969)
J. Frøyland and D. Gordon, Phys. Rev. 177, 2500 (1969)
M. LeBellac, Phys. Letters 25B, 524 (1967) Aachen-Berlin-CERN Collaboration, ibid. 27B, 174 (1968)
J. S. Ball, G. Marchesini, and F. Zachariasen, Phys. Letters 31B, 583 (1970)
J. S. Ball and G. Marchesini, Phys. Rev. 188, 2209 (1970) ibid. 188, 2508 (1970) W. Frazer and C. Mehta, Phys. Rev. Letters 23, 258 (1969)
G. F. Chew and D. R. Snider, Phys. Letters 31B, 71 (1970)
B. R. Desai, P. Kaus, R. T. Park, and F. Zachariasen, Phys. Rev. Letters 25, 1389 (1970) ibid.25, 1686(E) (1970)
J. S. Ball and M. Jacob, Nuovo Cimento 54A, 620 (1968)
G. Kramer and P. Stichel, Z. Physik 178, 579 (1964)
J. S. Ball and F. Zachariasen, Phys. Rev. Letters 23, 346 (1969)
A. M. Boyarski, F. Bulos, W. Busza, R. Diebold, S. D. Ecklund, G. E. Fischer, G. R. Rees, and B. Richter, Phys. Rev. Letters 20, 300 (1968)
C. Geweniger, P. Heide, U. Kötz, R. A. Lewis, P. Schmüser, H. J. Skronn, H. Wahl, and K. Wegener, Phys. Letters 28B, 155 (1968) ibid.29B, 41 (1969)
C. C. Morehouse, M. Borghini, O. Chamberlain, R. Fuzesy, W. Gorn, T. Powell, P. Robrish, S. Rock, S. Shannon, G. Shapiro, H. Weisberg, A. Boyarski, S. Ecklund, J. Murata, B. Richter, R. Siemann, and R. Diebold, Phys. Rev. Letters 25, 835 (1970)
H. Harari, in Proceedings of the Third International Symposium on Electron and Photon Interactions at High Energies, Stanford Linear Accelerator, Stanford, California, 1967 (Clearing House of Federal Scientific and Technical Information, Washington, D. C., 1968), pp. 357-359
F. J. Gilman, invited talk given at Conference on Particle Interactions at High Energies at the University of Toronto, 1969 [SLAC Report No. SLAC-PUB-589] (unpublished)
Z. Bar-Yam, J. de Pagter, M. M. Hoenig, W. Kern, D. Luckey, and L. S. Osborne, Phys. Rev. Letters 19, 40 (1967)
P. Heide, U. Kötz, R. A. Lewis, P. Schmüser, H. J. Skronn, and H. Wahl, Phys. Rev. Letters 21, 248 (1968)
R. C. E. Devenish, W. J. Leigh, and D. H. Lyth, University of Lancaster report, 1970 (unpublished)

[c1] J. S. Ball, W. R. Frazer, and M. Jacob, Phys. Rev. Letters 20, 518 (1968)

[c2] F. S. Henyey, Phys. Rev. 170, 1619 (1968)

[c3] J. D. Jackson and C. Quigg, Phys. Letters 29B, 236 (1969) ibid.33B, 444 (1970) Nucl. Phys. B (to be published)

[c4] Michigan group: F. Henyey, G. L. Kane, J. Pumplin, and M. Ross, Phys. Rev. Letters 21, 946 (1968) Phys. Rev. 182, 1579 (1969) M. Ross, in Proceedings of Regge Pole Conference, University of California at Irvine, 1969 (unpublished)

[c5] M. L. Blackmon, G. Kramer, and K. Schilling, Nucl. Phys. B12, 495 (1969)

[c6] J. Frøyland and D. Gordon, Phys. Rev. 177, 2500 (1969)

[c7] M. LeBellac, Phys. Letters 25B, 524 (1967) Aachen-Berlin-CERN Collaboration, ibid. 27B, 174 (1968)

[c8] J. S. Ball, G. Marchesini, and F. Zachariasen, Phys. Letters 31B, 583 (1970)

[c9] J. S. Ball and G. Marchesini, Phys. Rev. 188, 2209 (1970) ibid. 188, 2508 (1970) W. Frazer and C. Mehta, Phys. Rev. Letters 23, 258 (1969)

[c10] G. F. Chew and D. R. Snider, Phys. Letters 31B, 71 (1970)

[c11] B. R. Desai, P. Kaus, R. T. Park, and F. Zachariasen, Phys. Rev. Letters 25, 1389 (1970) ibid.25, 1686(E) (1970)

[c12] J. S. Ball and M. Jacob, Nuovo Cimento 54A, 620 (1968)

[c13] G. Kramer and P. Stichel, Z. Physik 178, 579 (1964)

[c14] J. S. Ball and F. Zachariasen, Phys. Rev. Letters 23, 346 (1969)

[c15] A. M. Boyarski, F. Bulos, W. Busza, R. Diebold, S. D. Ecklund, G. E. Fischer, G. R. Rees, and B. Richter, Phys. Rev. Letters 20, 300 (1968)

[c16] C. Geweniger, P. Heide, U. Kötz, R. A. Lewis, P. Schmüser, H. J. Skronn, H. Wahl, and K. Wegener, Phys. Letters 28B, 155 (1968) ibid.29B, 41 (1969)

[c17] C. C. Morehouse, M. Borghini, O. Chamberlain, R. Fuzesy, W. Gorn, T. Powell, P. Robrish, S. Rock, S. Shannon, G. Shapiro, H. Weisberg, A. Boyarski, S. Ecklund, J. Murata, B. Richter, R. Siemann, and R. Diebold, Phys. Rev. Letters 25, 835 (1970)

[c18] H. Harari, in Proceedings of the Third International Symposium on Electron and Photon Interactions at High Energies, Stanford Linear Accelerator, Stanford, California, 1967 (Clearing House of Federal Scientific and Technical Information, Washington, D. C., 1968), pp. 357-359

[c19] F. J. Gilman, invited talk given at Conference on Particle Interactions at High Energies at the University of Toronto, 1969 [SLAC Report No. SLAC-PUB-589] (unpublished)

[c20] Z. Bar-Yam, J. de Pagter, M. M. Hoenig, W. Kern, D. Luckey, and L. S. Osborne, Phys. Rev. Letters 19, 40 (1967)

[c21] P. Heide, U. Kötz, R. A. Lewis, P. Schmüser, H. J. Skronn, and H. Wahl, Phys. Rev. Letters 21, 248 (1968)

[c22] R. C. E. Devenish, W. J. Leigh, and D. H. Lyth, University of Lancaster report, 1970 (unpublished)

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Parametrization of Charged-Pion Photoproduction in Terms of Complex Regge Poles

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