Regge Cuts and the Veneziano Model in Backward <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>π</mi><mi>N</mi></math></span> Scattering

R. F. Amann

doi:10.1103/PhysRevD.2.561

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Regge Cuts and the Veneziano Model in Backward $π N$ Scattering

R. F. Amann^*,†

Department of Physics, The Enrico Fermi Institute, and The University of Chicago, Chicago, Illinois 60637

^*Most of this work was performed while the author was a National Science Foundation Predoctoral Fellow.
^†Submitted to the Department of Physics, The University of Chicago, in partial fulfillment of the requirements for the Ph.D. degree.

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Phys. Rev. D 2, 561 – Published 1 August, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.561

Abstract

The Reggeized absorptive cut is included in three Regge-pole (the $Δ$ , $N_{α}$ , $N_{γ}$ ) fits to backward $π N \to N π$ differential cross sections. The over-all framework of the Veneziano model is used, and successful fits are found with smooth one-parameter residues. The cuts remove the Veneziano model's contradictions with experiment, are essentially parameterless, and are definitely non-negligible. We discuss methods to verify their presence. The usual difficulty in extrapolating to the $Δ$ mass (too small a width) remains unresolved. Possible explanations of this problem are discussed.

References (30)

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[c1] G. Veneziano, Nuovo Cimento 57A, 190 (1968)

[c2] R. Dolen et al., Phys. Rev. 166, 1768 (1968)

[c3] C. Schmid, Phys. Rev. Letters 20, 689 (1968)

[c4] S. Adler, Phys. Rev. 137B, 1022 (1965)

[c5] C. Lovelace, Phys. Letters 28B, 264 (1968) M. Ademollo et al., Phys. Rev. Letters 22, 83 (1969)

[c6] P. G. O. Freund and E. Schonberg, Phys. Letters 28B, 600 (1968)

[c7] P. Bonamy et al., Phys. Letters 23, 501 (1966)

[c8] J. Finkelstein, Phys. Rev. Letters 22, 363 (1969)

[c9] D. Amati et al., Phys. Letters 1, 29 (1962) S. Mandelstam, Nuovo Cimento 30, 1127 (1963) ibid.30, 1148 (1963)

[c10] C. Lovelace, Nucl. Phys. B12, 253 (1969)

[c11] S. Fenster and K. C. Wali, Phys. Rev. D 1, 1409 (1970)

[c12] E. L. Berger and G. Fox, Phys. Rev. 188, 2120 (1969) R. Amann, Enrico Fermi Institute Report No. 69-68 (unpublished)

[c13] K. Igi and J. Storrow, Nuovo Cimento 62A, 972 (1969) F. Inami, ibid. 63A, 987 (1969) K. Pretzl and K. Igi, ibid. 63A, 609 (1969)

[c14] L. Van Hove, Phys. Letters 24B, 183 (1967) G. Cohen-Tannoudji et al., Nuovo Cimento 48A, 1075 (1967) R. J. Rivers and L. M. Saunders, ibid. 58A, 385 (1968)

[c15] K. Gottfried and J. D. Jackson, Nuovo Cimento 34, 735 (1964)

[c16] I. Kimel and H. Miyazawa, Progr. Theoret. Phys. (Kyoto) 40, 124 (1968)

[c17] K. J. Foley et al., Phys. Rev. Letters 11, 425 (1963)

[c18] H. Harari and Y. Zarmi, Phys. Rev. 187, 2230 (1969)

[c19] G. Hohler and R. Strauss, Z. Physik 232, 205 (1970)

[c20] W. Rarita et al., Phys. Rev. 165, 1615 (1968)

[c21] R. F. Amann, Nuovo Cimento Letters 2, 87 (1969)

[c22] J. Orear, Phys. Rev. Letters 21, 389 (1968)

[c23] R. C. Chase et al., Phys. Rev. Letters 22, 1137 (1969) J. Schneider et al., ibid. 23, 1068 (1969)

[c24] R. H. Capps, Phys. Rev. Letters 22, 215 (1969)

[c25] K. Igi et al., Phys. Rev. Letters 21, 580 (1968)

[c26] E. A. Paschos, Phys. Rev. Letters 21, 1855 (1968) V. Barger and D. Cline, ibid. 21, 392 (1968)

[c27] V. Barger and D. Cline, Phys. Rev. Letters 19, 1504 (1967)

[c28] F. Henyey et al., Phys. Rev. Letters 21, 946 (1968)

[c29] P. G. O. Freund and R. Waltz, Phys. Rev. 188, 2270 (1969)

[c30] R. J. Rivers and L. M. Saunders, Nuovo Cimento 58A, 385 (1968) F. Henyey et al., Phys. Rev. 182, 1579 (1969)

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Regge Cuts and the Veneziano Model in Backward $π N$ Scattering

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Regge Cuts and the Veneziano Model in Backward πN Scattering

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References (30)

Regge Cuts and the Veneziano Model in Backward $π N$ Scattering