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Hadron Production in terms of Green's Functions in Non-Equilibrium Matter

by A.V.Koshelkin

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Authors (as registered SciPost users): Andrew Koshelkin
Submission information
Preprint Link: scipost_202111_00002v1  (pdf)
Date submitted: 2021-11-01 19:29
Submitted by: Koshelkin, Andrew
Submitted to: SciPost Physics Proceedings
Proceedings issue: 50th International Symposium on Multiparticle Dynamics (ISMD2021)
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


Following the quark-hadron duality concept, we show that the number of hadrons generated in the deconfinement matter is entirely determined by the exact non-equilibrium Green's functions of partons in the medium and the vertex function governing the probability of the confinement-deconfinement phase transition. In such an approach, compactifying the standard (3+1) chromodynamics into $ QCD_{xy} + QCD_{zt}$, the rate of the hadrons produced in particle collisions is derived in the explicit form provided that the hadronization is the first order phase transition. The pion production is found to be in good agreement to the experimental results on the pion yield in $pp$ collisions.

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Andy Buckley  on 2022-01-31  [id 2138]

A couple of "user" comments, rather than a formal review, while we wait for the latter to arrive.

It would help inexpert readers if the jumps to the Green's Function expressions in Sec 2, and the results in eqs. 5 and 6 could be better motivated and contextualised. In the latter equation, for example, there is a sum over symmetric double-Gaussian functions... which represent the beams somehow, but it would be good to gain some intuition as to where this comes from and the implications of it looking as it does. As well as explaining what the sum over a = 1..N corresponds to: if over the hadrons, why do the y_a and sigma_a described as beam params depend on the specific hadron?

The results in Fig 1 and 2 (not labelled, by the way) look extremely good. Has the quality of the fit been quantified? And where do the choices of Tc, y_a and sigma_a for this prediction come from? Would they be different for pion production in p-A or A-A collisions? Again, this would be valuable context -- particularly since the main result depicted looks so nice, but is restricted to pp collisions where the presence of non-equilibrium matter is maybe less obvious.

Thank you!