Summary
We derive KNO scaling using a differential equation which results from combining the renormalization group with experimentally observed regularities of the dispersion of the multiplicity distribution in high-energy collisions. The KNO scaling functionψ(N/〈N〉) is compared with the experimental data.
Riassunto
Si deduce la variazione di scala di KNO facendo uso di un’equazione differenziale che si ottiene combinando il gruppo di rinormalizzazione con le regolarità, osservate sperimentalmente, della dispersione della distribuzione delle molteplicità nelle collisioni di alta energia. Si confronta la funzione di scala di KNO ϕ(N/〈N〉) con i dati sperimentali.
Реэюме
Мы выводим KNO скейлинг, испольэуя дифференциальное уравнение, которое получается в реэультате общединения группы перенормировки с зкспериментально обнаруженными эакономерностями дисперсии распределения множественности в соударениях при высоких знергиях. Функция КNО скейлинга ϕ(N/〈N〉) сравнивается с зкспериментальными данными.
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References
A. Wroblewski:Acta Phys. Polon.,4 B, 857 (1973).
E. de Wolf, J. J. Dumont andF. Verbeure:Nucl. Phys.,87 B, 325 (1975).
Z. Koba, H. B. Nielsen andP. Olesen:Nucl. Phys.,40 B, 317 (1972).
P. Slattery:Phys. Rev. D,7, 2073 (1973);Phys. Rev. Lett.,29, 1624 (1972).
T. Ferbel: preprint UR 500, University of Rochester (1974).
F. T. Dao, R. Hanft, J. Lach, E. Malamud, F. Nezrick, V. Davidson, A. Firestone, D. Lam, F. Nagy, C. Peck, A. Sheng, R. Poster, P. Schlein, W. Slater andA. Dzierba:Phys. Rev. Lett.,33, 389 (1974).
F. T. Dao, J. Lach andJ. Whitmore:Proceedings of the Symposium on pxxxInteractions (Prague, 1974).
F. Jegerlehner: preprint FUB HEP June 74/10, Berlin (1974).
B. Schroer: lectures given at the1973 Cargèse Summer Institute « Critical Phenomena and Quantum Field Theory ».
A. Münster: inHandbuch der Physik, edited byS. Flügge, Vol.3/2 (Berlin, Göttingen, Heidelberg, 1956).
F. Jegerlehner: inLecture Notes in Physics, Vol.37 (Berlin, Heidelberg, and New York, N. Y., 1975).
D. S. Narayan:Nucl. Phys.,59 B, 229 (1973).
J. A. Shohat andJ. D. Tamarkin:The Problem of Moments (Providence, R. I., 1943).
M. Abramowitz andI. A. Stegun:Handbook of Mathematical Functions, Chap. 13 (New York, N. Y., 1970).
A. Erdelyi, Editor:Tables of Integral Transforms, Vol.2 (New York, N. Y., Toronto, London, 1954).
S. P. Auerbach:Nucl. Phys.,82 B, 221 (1974).
P. Olesen:Proceedings of the IV International Symposium on Multiparticle Hadrodynamics (Pavia, 1973).
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Ernst, W., Schmitt, I. KNO scaling and renormalization group. Nuov Cim A 31, 109–119 (1976). https://doi.org/10.1007/BF02729926
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DOI: https://doi.org/10.1007/BF02729926