Color randomization of fast gluon-gluon pairs in the quark-gluon plasma

Abstract

We study the color randomization of two-gluon states produced after splitting of a primary fast gluon in the quark-gluon plasma. We find that for the LHC conditions the color randomization of the $gg$ pairs is rather slow. At jet energies $E=100$ and $500$ GeV, for typical jet path length in the plasma in central Pb+Pb collisions, the $SU(3)$-multiplet averaged color Casimir of the $gg$ pair differs considerably from its value $2N_c$ for a fully randomized $gg$ state. Our calculations of the energy dependence for generation of the nearly collinear decuplet $gg$ states, that can lead to the baryon jet fragmentation, show that the contribution of the anomalous decuplet color states to the baryon production should become small at $p_T\gtrsim 10$ GeV.

17 pages, 13 figures

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• Quantum to classical parton dynamics in QCD media
• The LPM effect in sequential bremsstrahlung: incorporation of "instantaneous'' interactions for QCD
• Radiative $p_{\perp }$-broadening of fast partons in an expanding quark-gluon plasma