Duality in Backward <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mi>p</mi></math></span> Elastic Scattering

Ernest S. Ma; Gordon L. Shaw

doi:10.1103/PhysRevD.3.1264

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Duality in Backward $π^{+} p$ Elastic Scattering

Ernest S. Ma^* and Gordon L. Shaw

Department of Physics, University of California, Irvine, California 92664

^*Present address: Department of Physics, The City College of the City University of New York, New York, N. Y. 10031.

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Phys. Rev. D 3, 1264 – Published 1 March, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.1264

Abstract

A duality-inspired model for the scattering amplitude is used to explain backward $π^{+} p$ elastic-scattering data from $2.18 \frac{GeV}{c}$ (incident pion laboratory momentum) on up. The quantitative success of this model gives support to the assumption that the dip at $u \sim - 0.15$ Ge $V^{2}$ is due to a wrong-signature nonsense zero in the $N_{α}$ Regge-pole exchange amplitude. A particularly interesting polarization prediction (which can soon be compared with experimental data) is also presented.

References (18)

P. W. Coulter, E. S. Ma, and G. L. Shaw, Phys. Rev. Letters 23, 106 (1969)
R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968)
Kormanyos et al., Phys. Rev. 164, 1661 (1967) [1]
G. Veneziano, Nuovo Cimento 57A, 190 (1968)
Omitted endnote
D. P. Owen et al., Phys. Rev. 181, 1794 (1969)
J. P. Chandler et al., Phys. Rev. Letters 23, 186 (1969)
C. B. Chiu and J. D. Stack, Phys. Rev. 153, 1575 (1967)
Omitted endnote
V. Barger and D. Cline, Phys. Rev. 155, 1792 (1967)
E. L. Berger and G. C. Fox, Phys. Rev. 188, 2120 (1969)
Omitted endnote
Particle Data Group, Rev. Mod. Phys. 42, 87 (1970)
Omitted endnote
R. R. Crittenden, R. M. Heinz, D. B. Lichtenberg, and E. Predazzi, Phys. Rev. D 1, 169 (1970)
Omitted endnote
F. Henyey, G. L. Kane, J. Pumplin, and M. H. Ross, Phys. Rev. 182, 1579 (1969) R. L. Kelly, G. L. Kane, and F. Henyey, Phys. Rev. Letters 24, 1511 (1970)
R. J. Esterling et al., in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna, 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, 1968), p. 348 A. Yokosawa (private communication) R. Miller and A. Yokosawa, Argonne National Laboratory Report No. ANL/HEP 7001, 1970 (unpublished)

[c1] P. W. Coulter, E. S. Ma, and G. L. Shaw, Phys. Rev. Letters 23, 106 (1969)

[c2] R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968)

[c3] Kormanyos et al., Phys. Rev. 164, 1661 (1967) [1]

[c4] G. Veneziano, Nuovo Cimento 57A, 190 (1968)

[c5] Omitted endnote

[c6] D. P. Owen et al., Phys. Rev. 181, 1794 (1969)

[c7] J. P. Chandler et al., Phys. Rev. Letters 23, 186 (1969)

[c8] C. B. Chiu and J. D. Stack, Phys. Rev. 153, 1575 (1967)

[c9] Omitted endnote

[c10] V. Barger and D. Cline, Phys. Rev. 155, 1792 (1967)

[c11] E. L. Berger and G. C. Fox, Phys. Rev. 188, 2120 (1969)

[c12] Omitted endnote

[c13] Particle Data Group, Rev. Mod. Phys. 42, 87 (1970)

[c14] Omitted endnote

[c15] R. R. Crittenden, R. M. Heinz, D. B. Lichtenberg, and E. Predazzi, Phys. Rev. D 1, 169 (1970)

[c16] Omitted endnote

[c17] F. Henyey, G. L. Kane, J. Pumplin, and M. H. Ross, Phys. Rev. 182, 1579 (1969) R. L. Kelly, G. L. Kane, and F. Henyey, Phys. Rev. Letters 24, 1511 (1970)

[c18] R. J. Esterling et al., in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna, 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, 1968), p. 348 A. Yokosawa (private communication) R. Miller and A. Yokosawa, Argonne National Laboratory Report No. ANL/HEP 7001, 1970 (unpublished)

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Duality in Backward $π^{+} p$ Elastic Scattering