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Construction of an empirical multiplicity distribution from the folding of geometry with a simple dynamics

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Lettere al Nuovo Cimento (1971-1985)

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References

  1. This approximation is, of course, in line with the maintenance of two reasonably distinct excited systems.

  2. T. T. Chou andC. N. Yang:High-Energy Physics and Nuclear Structure, edited byG. Alexander (Amsterdam, 1967), p. 348;L. Durand III andR. Lipes:Phys. Rev. Lett.,20, 637 (1968).

  3. S. Barshay:Phys. Lett.,42 B, 457 (1972).

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  4. Above about 500 GeV/c σinel(S) begins to grow logarithmically and further terms become essential in eq. (2b). See ref. (11, 12)U. Amaldi et al.: The energy dependence of the proton-proton total cross-section for centre-of-mass energies between 23and 53 GeV, CERN preprint, Jan. 1973 (to be published).S. Barshay andV. Rostokin:Relation between the increasing proton-proton total cross-section and the structure in elastic scattering at small momentum transfers, Niels Bohr Institute preprint, March 1973 (to be published) below. For our present purpose of presenting the physical basis of the model we can work to lowest order inc/2<1 and the parametrization in eq. (2b) is equivalent to the parametrizations 1−exp[−δ(b)]=(c/2 exp [−λb 2] or δ(b)=(c/2) exp [−λb 2] of ref. (3).

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  5. For p-p collisions, unity should be replaced by 2 in this normalization.

  6. S. Barshay andV. Rostokin:A new multiplicity distribution from a simple Reggeized production model, Niels Bohr Institute preprint, Dec. 1972 (to be published).

  7. G. Bozoki, E. Gombosi, M. Posch andL. Vanicsek:Nuovo Cimento,64 A, 881 (1969).

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  8. H. Weisberg:A simple empirical representation of the charged-multiplicity distribution in proton-proton collisions, University of Pennsylvania preprint, Feb. 1973 (to be published).

  9. A. Buras andZ. Koba:Scaling of multiplicity distributions, Niels Bohr Institute preprint, Feb. 1973 (to be published).

  10. For example 〈n(S)〈P n (S)=(256/3)z nn (S) exp [−4z n(s)] fits the data well, and can also be given some basis in conventional theoretical models. Some ref. (6)S. Barshay andV. Rostokin:A new multiplicity distribution from a simple Reggeized production model, Niels Bohr Institute preprint, Dec. 1972 (to be published) andP. Slattery:Phys. Rev. Lett.,29, 1624 (1972). The usual marriage of the two separate mechanisms of diffractive production and independent emission is also said to fit the data, as presumably do two Poisson distributions.

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  11. U. Amaldi et al.: The energy dependence of the proton-proton total cross-section for centre-of-mass energies between 23and 53 GeV, CERN preprint, Jan. 1973 (to be published).

  12. S. Barshay andV. Rostokin:Relation between the increasing proton-proton total cross-section and the structure in elastic scattering at small momentum transfers, Niels Bohr Institute preprint, March 1973 (to be published).

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  1. The Niels Bohr Institute, University of Copenhagen, Copenhagen

    S. Barshay

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Barshay, S. Construction of an empirical multiplicity distribution from the folding of geometry with a simple dynamics. Lett. Nuovo Cimento 7, 671–675 (1973). https://doi.org/10.1007/BF02728049

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