Semiempirical amplitude analysis of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>γ</mi><mo>+</mo><mi>p</mi><mo>→</mo><mrow><msup><mrow><mi>π</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow><mo>+</mo><mi>p</mi></math></span> from incomplete data at high energies

M. Svec

doi:10.1103/PhysRevD.22.70

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Semiempirical amplitude analysis of $γ + p \to π^{0} + p$ from incomplete data at high energies

M. Svec

Physics Department, McGill University, Montreal, P.Q., Canada

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Phys. Rev. D 22, 70 – Published 1 July, 1980

DOI: https://doi.org/10.1103/PhysRevD.22.70

Abstract

Fixed- $t$ dispersion relations together with an effective Regge-pole parametrization of exchange amplitudes are used to transform the incomplete high-energy data into information about amplitudes. Clear trends in the $t$ structure and energy dependence emerge in the two obtained solutions corresponding to a discrete ambiguity. The sensitivity of the solutions on polarization and low-energy inputs is investigated in great detail with important conclusions about the $t$ structure of amplitudes. In solution I, $Im H_{n}$ is peripheral but $Im H_{0}$ is sensitive to polarization input for $- t ≲ 0.3$ Ge $V^{2}$ . The single-flip amplitude cannot be described as a simple Regge pole in contrast to $π N$ charge exchange. In solution II, only $Im H_{1}$ is peripheral and the structures of $Im H_{0}$ and $Im H_{2}$ are approximately reversed. Solution II is tentatively rejected. It is also found that the $t$ structure of amplitudes and their energy dependence are only weakly related. Our solutions are compared with results obtained by other authors and we comment also on the observed absorption effects.

References (49)

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G. Gault, A. Martin, and G. Kane, Nucl. Phys. B32, 429 (1971)
P. D. B. Collins and A. Fitton, Nucl. Phys. B68, 125 (1974)
E. N. Argyres, A. P. Contogouris, S. Ray, and M. Svec, Ann. Phys. (N.Y.) 85, 283 (1974)
H. K. Armenian, G. R. Goldstein, J. P. Rutherford, and D. L. Weaver, Phys. Rev. D 12, 1278 (1975)
I. S. Barker and J. K. Storrow, Nucl. Phys. B137, 413 (1978)

[c1] W. Schmidt and G. Schwiderski, Fortschr. Phys. 15, 393 (1967)

[c2] R. P. Worden, Nucl. Phys. B37, 253 (1977)

[c3] G. R. Goldstein, J. F. Owens, J. P. Rutherford, and M. J. Morawczik, Nucl. Phys. B80, 164 (1974)

[c4] I. S. Barker, A. Donnachie, and J. K. Storrow, Nucl. Phys. B95, 347 (1975)

[c5] W. Braunschweig et al., Phys. Lett. 26B, 405 (1968) Nucl. Phys. B20, 191 (1970)

[c6] R. L. Anderson et al., Phys. Rev. D 4, 1937 (1971)

[c7] W. Braunschweig et al., Nucl. Phys. B51, 167 (1973)

[c8] P. S. L. Booth et al., Phys. Lett. 38B, 339 (1972)

[c9] H. Bienlein et al., Phys. Lett. 46B, 131 (1973)

[c10] M. Deutsch et al., Phys. Rev. Lett. 29, 1752 (1972)

[c11] P. J. Bussey et al., Experimental Proposal, Daresbury Laboratory, DL/SCP/108, 1975 (unpublished)

[c12] M. Hontebeyrie, J. Procureur, and Ph. Salin, Nucl. Phys. B55, 83 (1973)

[c13] E. N. Argyres, A. P. Contogouris, J. P. Holden, and M. Svec, Phys. Rev. D 8, 2068 (1973)

[c14] I. M. Barbour and R. G. Moorhouse, Nucl. Phys. B69, 637 (1974)

[c15] I. S. Barker, A. Donnachie, and J. K. Storrow, Nucl. Phys. B79, 431 (1974)

[c16] A. P. Contogouris, Can. J. Phys. 54, 390 (1976)

[c17] A. P. Contogouris and M. Svec, Phys. Rev. D 17, 806 (1978)

[c18] M. Svec, Lett. Nuovo Cimento 18, 45 (1977) Ph.D. thesis, McGill University (unpublished)

[c19] P. Stichel, Z. Phys. 180, 170 (1964) M. Davier, Report No. SLAC-PUB-1529, 1975 (unpublished)

[c20] G. F. Chew, M. L. Goldberger, F. E. Low, and Y. Nambu, Phys. Rev. 106, 1345 (1957)

[c21] F. A. Berends, A. Donnachie, and D. L. Weaver, Nucl. Phys. B4, 154 (1967)

[c22] R. L. Walker, Phys. Rev. 182, 1729 (1969) in R. L. Walker, invited paper, Fourth International Symposium on Electron and Photon Interactions at High Energies, Liverpool, 1969, edited by D. W. Braben and R. E. Rand (Daresbury Nuclear Physics Laboratory, Daresbury, Landeshire, England, 1970)

[c23] Y. Hemni et al., Phys. Lett. 43B, 79 (1973)

[c24] R. C. E. Devenish, W. A. Rankin, and D. H. Lyth, Phys. Lett. 47B, 53 (1973)

[c25] R. G. Moorhouse, H. Oberlack, and A. H. Rosenfeld, Phys. Rev. D 9, 1 (1974) R. G. Moorhouse (private correspondence)

[c26] G. Knies, R. G. Moorhouse, and H. Oberlack, Phys. Rev. D 9, 2680 (1974)

[c27] R. C. E. Devenish, D. H. Lyth, and W. A. Rankin, Phys. Lett. 52B, 227 (1974)

[c28] W. J. Metcalf and R. L. Walker, Nucl. Phys. B76, 253 (1974) R. L. Walker (private correspondence)

[c29] R. L. Crawford, Nucl. Phys. B97, 125 (1975)

[c30] D. H. Lyth, in Proceedings of the XVII International Conference on High Energy Physics, London, 1974, edited by J. R. Smith (Rutherford Laboratory, Chilton, Didcot, Berkshire, England, 1974), p. II-147

[c31] B. Diu and M. LeBellac, Nuovo Cimento 53B, 158 (1968)

[c32] W. F. Buhl et al., Phys. Lett. 48B, 388 (1974) V. N. Bolotov et al., ibid. 53B, 217 (1974)

[c33] B. Wilk, in Proceedings of the 1971 International Symposium on Electron and Photon Interactions at High Energies, Cornell University, edited by N. B. Mistry (Laboratory of Nuclear Studies, Cornell University, Ithaca, N. Y., 1972)

[c34] G. R. Goldstein, J. F. Owens, and J. P. Rutherford, Nucl. Phys. B57, 18 (1973)

[c35] H. Harari, Ann. Phys (N.Y.) 63, 432 (1971)

[c36] G. L. Kane and A. Seidl, Rev. Mod. Phys. 48, 309 (1976)

[c37] H. P. Jakob, CERN Report No. TH-2022, 1975 (unpublished)

[c38] F. Schrempp and B. Schrempp, in High Energy Physics, proceedings of the European Physical Society International Conference, Palermo, 1975, edited by A. Zichichi (Editrice Compositori, Bologna, 1976), p. 682

[c39] P. Estabrooks, A. D Martin, Phys Lett. 41B, 83 (1975)

[c40] A. C. Irving, Nucl. Phys. B86, 125 (1975)

[c41] P. D. B. Collins and A. Fitton, Nucl. Phys. B91, 332 (1975)

[c42] R. Thews, G. R. Goldstein, and J. F. Owens, Nucl. Phys. B46, 557 (1972)

[c43] E. N. Argyres, A. P. Contogouris, S. Ray, and M. Svec, Nucl. Phys. B45, 267 (1972)

[c44] R. P. Worden, Nucl. Phys. B37, 253 (1972)

[c45] G. Gault, A. Martin, and G. Kane, Nucl. Phys. B32, 429 (1971)

[c46] P. D. B. Collins and A. Fitton, Nucl. Phys. B68, 125 (1974)

[c47] E. N. Argyres, A. P. Contogouris, S. Ray, and M. Svec, Ann. Phys. (N.Y.) 85, 283 (1974)

[c48] H. K. Armenian, G. R. Goldstein, J. P. Rutherford, and D. L. Weaver, Phys. Rev. D 12, 1278 (1975)

[c49] I. S. Barker and J. K. Storrow, Nucl. Phys. B137, 413 (1978)

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Semiempirical amplitude analysis of $γ + p \to π^{0} + p$ from incomplete data at high energies

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References (49)

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Semiempirical amplitude analysis of γ+p→π0+p from incomplete data at high energies

Abstract

References (49)

Semiempirical amplitude analysis of $γ + p \to π^{0} + p$ from incomplete data at high energies