Abstract

It is shown that the inclusive spectra of the produced hadrons in hadron-hadron and nuclear-nuclear collisions can be presented as the universal function dependent of the self-similarity parameter in the analytical form. The article gives a description of the self-similarity parameter depending on the rapidity in the mid-rapidity region. The experimental data are in good agreement with the results of our calculations in a wide energy range from a few GeV to a few TeV in the central rapidity region.

Highlights

  • Almost all theoretical approaches operate the relativistic invariant Mandelstam variables s, t, u to analyze the hadron inclusive spectra in the mid-rapidity region

  • As the main parameters of the problem we take the following: l the characteristic size of the body model, l0 is the size of the nature body, l0/l is the coefficient of geometric similarity, and U is the velocity of the impinging flow, μ is the viscosity of the fluid, ρ is the fluid density

  • The approach described in this paper has shown the following: - the inclusive spectra of the produced hadrons in hadron-hadron and nuclear-nuclear collisions can be presented as the universal function dependent of the self-similarity parameter in the analytical form;

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Summary

Introduction

Almost all theoretical approaches operate the relativistic invariant Mandelstam variables s, t, u to analyze the hadron inclusive spectra in the mid-rapidity region. As the main parameters of the problem we take the following: l the characteristic size of the body model, l0 is the size of the nature body, l0/l is the coefficient of geometric similarity, and U is the velocity of the impinging flow, μ is the viscosity of the fluid, ρ is the fluid density. These parameters define the system of units: L - length, M - mass, T - time, and have the following dimensions:.

Analytical solution for self-similarity parameter
Self-similarity parameter in the central rapidity region
Conclusion

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