Numerical Study of Regge Cuts due to Absorption in Neutral-Pion Photoproduction

R. A. Miller

doi:10.1103/PhysRevD.2.598

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Numerical Study of Regge Cuts due to Absorption in Neutral-Pion Photoproduction

R. A. Miller^*

Department of Physics, University of Illinois, Urbana, Illinois 61801

^*NSF Predoctoral Fellow.

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Phys. Rev. D 2, 598 – Published 1 August, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.598

Abstract

The relationship between Regge cuts and absorption is reviewed. A detailed numerical study is carried through for the Gottfried-Jackson absorption model as applied to the reaction $γ p \to π^{0} p$ with Reggeized $ω$ exchange. The absorption parameters are set from $π p$ elastic scattering data. Calculations of $s$ - and $t$ -channel amplitudes and cut discontinuities are presented and discussed as regards their advantages and shortcomings for fitting the neutral-pion photoproduction data. Several published fits are compared. We conclude that the cut contribution must be roughly doubled to obtain a successful fit.

References (33)

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[c1] R. C. Arnold, Phys. Rev. 140, B1022 (1965) ibid.153, 1523 (1967)

[c2] L. Van Hove, Phys. Letters 24B, 183 (1967)

[c3] E. J. Squires, Phys. Letters 26B, 461 (1968) ibid.26B, 736(E) (1968)

[c4] J. Finkelstein and M. Jacob, Nuovo Cimento 56A, 681 (1968)

[c5] C. B. Chiu and J. Finkelstein, Nuovo Cimento 48A, 820 (1967)

[c6] G. Cohen-Tannoudji, A. Morel, and H. Navelet, Nuovo Cimento 48A, 1075 (1967)

[c7] A. Capella and J. Tran Thanh Van, Nuovo Cimento Letters 1, 321 (1969)

[c8] J. Frøyland, Nucl. Phys. B11, 204 (1969)

[c9] A. Borgese and M. Colocci, CERN Report No. Th. 1024, 1969 (unpublished)

[c10] F. Henyey, G. L. Kane, Jon Pumplin, and M. H. Ross, Phys. Rev. 182, 1579 (1969)

[c11] J. D. Jackson, Rev. Mod. Phys. 37, 484 (1965) K. Gottfried and J. D. Jackson, Nuovo Cimento 34, 735 (1964)

[c12] M. Jacob and G. C. Wick, Ann. Phys. (N. Y.) 7, 404 (1959)

[c13] Stephen Gasiorowicz, Elementary Particle Physics (Wiley, New York, 1966), pp. 473 and 481

[c14] L. Van Hove, Rapporteur talk in Proceedings of the Thirteenth International Conference on High-Energy Physics, Berkeley, Calif., 1967 (California U.P., Berkeley, 1967), p. 253

[c15] M. Borghini, C. Coignet, L. Dick, L. di Lella, A. Michalowicz, P. D. Macq, and J. C. Olivier, Phys. Letters 21, 114 (1966)

[c16] D. Amati, S. Fubini, and A. Stanghellini, Nuovo Cimento 26, 896 (1962)

[c17] Omitted endnote

[c18] J. S. Ball, Phys. Rev. 124, 2014 (1961) G. F. Chew, M. L. Goldberger, F. E. Low, and Y. Nambu, ibid. 106, 1345 (1957)

[c19] C. B. Chiu, S. Y. Chu, and L. L. Wang, Phys. Rev. 161, 1563 (1967)

[c20] J. B. Bronzan and C. E. Jones, Phys. Rev. 160, 1494 (1967)

[c21] D. Bellenger, R. Bordelon, K. Cohen, S. B. Deutsch, W. Lobar, D. Luckey, L. S. Osborne, E. Pothier, and R. Schwitters, Phys. Rev. Letters 23, 540 (1969)

[c22] A. P. Contogouris and J. P. Lebrun, Nuovo Cimento 64A, 627 (1969)

[c23] A. P. Contogouris, J. P. Lebrun, and G. Von Bochman, Nucl. Phys. B13, 246 (1969)

[c24] M. Colocci, CERN Report No. TH. 1150, 1970 (unpublished)

[c25] M. Blackmon, G. Kramer, and K. Schilling, Phys. Rev. 183, 1452 (1969)

[c26] G. Benfatto, F. Nicolo, and G. C. Rossi, Nuovo Cimento 64A, 1033 (1969)

[c27] S. Frautschi and B. Margolis, Nuovo Cimento 56A, 1155 (1968) ibid.57A, 427 (1968)

[c28] S. Mandelstam and L. L. Wang, Phys. Rev. 160, 1490 (1967)

[c29] C. B. Chiu and S. Matsuda, Phys. Letters 31B, 455 (1970)

[c30] R. J. Rivers, in Proceedings of the Regge Cut Conference, Madison, Wisc., 1969, edited by Paul M. Fishbane and L. M. Simmons, Jr. (unpublished)

[c31] M. E. Ebel and R. J. Moore, Phys. Rev. 177, 2470 (1969)

[c32] D. G. Ravenhall and H. W. Wyld, Phys. Rev. Letters 21, 1770 (1968)

[c33] D. Harrington, Phys. Rev. D 1, 2615 (1970)

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Numerical Study of Regge Cuts due to Absorption in Neutral-Pion Photoproduction

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