Multiplicity Distributions in High-Energy Collisions, and the Statistics of the Ideal Relativistic Bose Gas

Fred Cooper; Edmond Schonberg

doi:10.1103/PhysRevD.8.334

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Multiplicity Distributions in High-Energy Collisions, and the Statistics of the Ideal Relativistic Bose Gas

Fred Cooper and Edmond Schonberg

Belfer Graduate School of Science, Yeshiva University, New York, New York 10033

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Phys. Rev. D 8, 334 – Published 1 July, 1973

DOI: https://doi.org/10.1103/PhysRevD.8.334

Abstract

Utilizing some assumptions about high-energy collisions that underlie thermodynamic and hydrodynamic models of high-energy particle production, we find simple relationships among the moments of the multiplicity distribution $〈 N^{q} 〉$ that are reasonably well satisfied by recent data from the National Accelerator Laboratory (NAL) on $π^{-}$ production. Using $〈 N_{ch} 〉 = 2 {E_{lab}}^{\frac{1}{4}}$ we obtain a reasonable one-parameter fit to all the NAL multiplicity data except $f_{2}$ and $f_{3}$ at 100, 200, and 300 GeV.

References (14)

L. D. Landau, Izv. Akad. Nauk SSSR 17, 51 (1953) L. D. Landau and S. Belenkij, Nuovo Cimento Suppl. 3, 15 (1956)
P. Carruthers and Minh Duong-Van, Phys. Lett. 41B, 597 (1972)
F. Cooper and E. Schonberg, Phys. Rev. Lett. 30, 880 (1973)
Philip Morse, Thermal Physics (Benjamin, New York, 1962), Chapters 23-25
R. Hagedorn, Nuovo Cimento 56A, 1027 (1968)
Omitted endnote
J. W. Chapman et al., Phys. Rev. Lett. 29, 1686 (1972)
G. Charlton et al., Phys. Rev. Lett. 29, 515 (1972)
F. T. Dao et al., Phys. Rev. Lett. 29, 1627 (1972)
Omitted endnote
G. Ranft and J. Ranft, Phys. Lett. 40B, 131 (1972)
N. Bogoliubov, Lectures on Quantum Statistics (Gordon and Breach, New York, 1967)
W. Frazer, R. Peccei, S. Pinsky, and C.-I Tan, Phys. Rev. D 7, 2647 (1973)
W. Knox, Univ. of Calif. at Davis report, 1972 (unpublished)

[c1] L. D. Landau, Izv. Akad. Nauk SSSR 17, 51 (1953) L. D. Landau and S. Belenkij, Nuovo Cimento Suppl. 3, 15 (1956)

[c2] P. Carruthers and Minh Duong-Van, Phys. Lett. 41B, 597 (1972)

[c3] F. Cooper and E. Schonberg, Phys. Rev. Lett. 30, 880 (1973)

[c4] Philip Morse, Thermal Physics (Benjamin, New York, 1962), Chapters 23-25

[c5] R. Hagedorn, Nuovo Cimento 56A, 1027 (1968)

[c6] Omitted endnote

[c7] J. W. Chapman et al., Phys. Rev. Lett. 29, 1686 (1972)

[c8] G. Charlton et al., Phys. Rev. Lett. 29, 515 (1972)

[c9] F. T. Dao et al., Phys. Rev. Lett. 29, 1627 (1972)

[c10] Omitted endnote

[c11] G. Ranft and J. Ranft, Phys. Lett. 40B, 131 (1972)

[c12] N. Bogoliubov, Lectures on Quantum Statistics (Gordon and Breach, New York, 1967)

[c13] W. Frazer, R. Peccei, S. Pinsky, and C.-I Tan, Phys. Rev. D 7, 2647 (1973)

[c14] W. Knox, Univ. of Calif. at Davis report, 1972 (unpublished)

Physical Review D

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Multiplicity Distributions in High-Energy Collisions, and the Statistics of the Ideal Relativistic Bose Gas

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References (14)

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