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Analysis of the differential equations for the exclusive processes and explanation for the “mystery” of the gamma-distribution

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Il Nuovo Cimento A (1965-1970)

Summary

The chain of the differential equations was derived on the basis of consideration of the cross-section structure of the gluon bremsstrahlung emission in multiquark tree diagrams for the purpose of hadronization of the strong correlating components. It is solved at some initial conditions for a correlation intensity of multiplicities of hadron systems and a dependence on the component (resonance) number for the main characteristics of the multiparticle processes is obtained. This dependence is an explanation of the known for the KNO-function “mystery” of the gamma-distribution parameter dependence on the pseudorapidity intervals. Uncertainty principle between this number and the correlation intensity was established.

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Darbaidze, Y.Z., Rostovtsev, V.A. Analysis of the differential equations for the exclusive processes and explanation for the “mystery” of the gamma-distribution. Nuov Cim A 103, 1513–1521 (1990). https://doi.org/10.1007/BF02820297

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