Two-component Pomeron and hadron total cross sections and real parts

Harry J. Lipkin

doi:10.1103/PhysRevD.17.366

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Two-component Pomeron and hadron total cross sections and real parts

Harry J. Lipkin^*,†

Argonne National Laboratory, Argonne, Illinois 60439
Fermi National Accelerator Laboratory, Batavia, Illinois 60510

^*On leave from Weizmann Institute of Science, Rehovot, Israel.
^†Operated by Universities Research Association Inc. under contract with the Energy Research and Development Administration.

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Phys. Rev. D 17, 366 – Published 1 January, 1978

DOI: https://doi.org/10.1103/PhysRevD.17.366

Abstract

The predictions from a five-parameter formula obtained from a two-component Pomeron model and fit to hadron-nucleon total cross sections from 2 to 200 GeV/c are in remarkable agreement with new CERN ISR data on total proton-proton cross sections and real parts up to an equivalent $P_{lab}$ of 2000 GeV/c and with total-cross-section data from cosmic rays up to 40000 GeV/c. This oversimplified formula with a Regge term varying as $s^{- \frac{1}{2}}$ two Pomeron-like terms with slightly increasing and slightly decreasing power behavior, and dependence upon quantum numbers given by simple quark-counting rules is adequate to fit all available data and can be useful for analysis of future data. Predictions for the ratios of real to imaginary parts of $π^{\pm} p$ , $K^{\pm} p$ , and $p^{\pm} p$ forward amplitudes are given.

References (4)

U. Amaldi et al., Phys. Lett. 66B, 390 (1977)
H. J. Lipkin, Phys. Rev. D 11, 1827 (1975) Nucl. Phys. B78, 381 (1974) Phys. Lett. 56B, 76 (1975) in High Energy Physics, Proceedings of the 1975 EPS Conference, Palermo, Italy, edited by A. Zichichi (Editrice Compositori, Bologna, 1976), p. 1000
G. B. Yodh, in the Proceedings of the Brookhaven Symposium on Prospects of Strong Interaction Physics at Isabelle, 1977 (unpublished) F. Siohan, Ph.D. thesis, University of Maryland, Report No. PP77611, 1976 (unpublished) T. K. Gaisser, G. B. Yodh, V. Barger, and F. Halzen, in Proceedings of the Fourteenth International Conference on Cosmic Rays, Munich, 1975, edited by Klaus Pinkau (Max-Planck-Institute, München, 1975), Vol. 7, p. 2161
R. J. Eden, High Energy Collisions of Elementary Particles (Cambridge Univ. Press, London, 1967), p. 194

[c1] U. Amaldi et al., Phys. Lett. 66B, 390 (1977)

[c2] H. J. Lipkin, Phys. Rev. D 11, 1827 (1975) Nucl. Phys. B78, 381 (1974) Phys. Lett. 56B, 76 (1975) in High Energy Physics, Proceedings of the 1975 EPS Conference, Palermo, Italy, edited by A. Zichichi (Editrice Compositori, Bologna, 1976), p. 1000

[c3] G. B. Yodh, in the Proceedings of the Brookhaven Symposium on Prospects of Strong Interaction Physics at Isabelle, 1977 (unpublished) F. Siohan, Ph.D. thesis, University of Maryland, Report No. PP77611, 1976 (unpublished) T. K. Gaisser, G. B. Yodh, V. Barger, and F. Halzen, in Proceedings of the Fourteenth International Conference on Cosmic Rays, Munich, 1975, edited by Klaus Pinkau (Max-Planck-Institute, München, 1975), Vol. 7, p. 2161

[c4] R. J. Eden, High Energy Collisions of Elementary Particles (Cambridge Univ. Press, London, 1967), p. 194

Physical Review D

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Two-component Pomeron and hadron total cross sections and real parts

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