Abstract

In the framework of our model of soft interactions at high energy based on CGC/saturation approach,we show that Bose-Einstein correlations of identical gluons lead to large values of $v_n$. We demonstrate how three dimensional scales of high energy interactions: hadron radius, typical size of the wave function in diffractive production of small masses (size of the constituent quark), and the saturation momentum, influence the values of BE correlations, and in particular, the values of $v_n$. Our calculation shows that the structure of the `dressed' Pomeron leads to values of $v_n$ which are close to experimental values for proton-proton scattering, 20\% smaller than the observed values for proton-lead collisions, and close to lead-lead collisions for 0-10\% centrality. Bearing this result in mind, we conclude that it is premature to consider, that the appearance of long range rapidity azimuthal correlations are due only to the hydrodynamical behaviour of the quark-gluon plasma.

Highlights

  • The large rapidity range (LRR) correlations in the CGC/saturation approach originate from the production of two parton showers

  • 1 Introduction In Ref. [1] we showed that Bose–Einstein correlations lead to strong azimuthal angle correlations, which do not depend on the difference in rapidity of the two produced hadrons

  • In this paper we showed how three different dimensional scales in high energy scattering, arise in the Bose–Einstein correlations that generates vn, for even and odd n

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Summary

Introduction

The LRR correlations in the CGC/saturation approach originate from the production of two parton showers (see Fig. 1). 3 we give a brief review of the structure of the Pomeron in our model, in which we incorporate the solution to the CGC/saturation equations with additional non-perturbative assumptions: the large b behaviour for the saturation momentum, and the structure of the hadrons It has been known for a long time [26,27,53,54,55] in the framework of Gribov Pomeron calculus and has been re-considered in the CGC/saturation approach [56,56,57,58,59,60,61,62,63] that the LRR correlations stem from the production of gluon jets from two different parton showers (see Fig. 1).

Proton–proton scattering
Hadron–nucleus and nucleus–nucleus interaction
A brief review of our model
Theoretical input and ‘dressed’ Pomeron Green function
Phenomenological assumptions and phenomenological parameters
Small parameters from the fit and the scattering amplitude
Azimuthal angle correlation and the structure of the ‘dressed’ Pomeron
Conclusions
Findings
Born diagrams
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