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Heavy quark dynamics and hadronization in ultra-relativistic heavy-ion collisions: collisional versus radiative energy loss

Published 2 Aug 2013 in nucl-th, hep-ph, and nucl-ex | (1308.0617v3)

Abstract: We study the dynamics of energy loss and flow of heavy quarks produced in ultra-relativistic heavy-ion collisions within the framework of a Langevin equation coupled to a (2+1)-dimensional viscous hydrodynamic model that simulates the space-time evolution of the produced hot and dense QCD matter. The classical Langevin approach is improved such that, apart from quasi-elastic scatterings, radiative energy loss is incorporated by treating gluon radiation as an additional force term. The hadronization of emitted heavy quarks is simulated via a hybrid fragmentation plus recombination model. Our calculation shows significant contribution from gluon radiation to heavy quark energy loss at high energies, and we find the recombination mechanism is important for heavy flavor meson production at intermediate energies. We present numerical results for the nuclear modification and elliptic flow of D mesons, which are consistent with measurements at both LHC and RHIC; predictions for B mesons are also provided.

Citations (198)

Summary

  • The paper presents an enhanced Langevin approach incorporating both collisional and radiative energy loss for heavy quarks.
  • It identifies transition points (6 GeV for charm, 16 GeV for bottom) where radiative losses dominate, impacting meson yields.
  • The study employs a hybrid hadronization model combining fragmentation and recombination, aligning predictions with LHC and RHIC data.

Heavy Quark Dynamics and Hadronization in Ultra-Relativistic Heavy-Ion Collisions

The dynamics of heavy quarks in ultra-relativistic heavy-ion collisions are crucial for understanding the properties of the quark-gluon plasma (QGP), a state of matter created under extreme temperature and energy conditions. The study conducted by Cao, Qin, and Bass utilizes an enhanced Langevin approach to investigate the energy loss mechanisms of heavy quarks, focusing on collisional versus radiative processes and subsequent hadronization.

In the context of ultra-relativistic heavy-ion collisions at the Large Hadron Collider (LHC) and the Relativistic Heavy-Ion Collider (RHIC), heavy quarks offer a unique probe due to their relatively slow thermalization compared to light quarks. Their dynamics are largely dictated by two energy loss mechanisms: collisional energy loss through quasi-elastic scatterings and radiative energy loss via medium-induced gluon radiation. Traditional Langevin simulations incorporate only the former, but the authors incorporate a force term accounting for gluon radiation, thereby integrating radiative losses into the energy-loss model.

Numerical results from this study underscore the importance of radiative energy loss at high transverse momenta (pT) for heavy quarks, challenging the conventional emphasis on collisional energy loss highlighted for systems at lower energy phases. The authors highlight the transition point where radiative processes overshadow collisional losses: approximately 6 GeV for charm quarks and 16 GeV for bottom quarks.

The research implements a hybrid model for hadronization of heavy quarks, combining fragmentation with recombination processes. Such an approach is vital in understanding the production of heavy-flavor mesons like D and B mesons. At intermediate pT, recombination, which involves the merging of thermalized light partons with heavy quarks, significantly enhances meson yields, showcasing a deviation from the fragmentation-dominated processes at higher pT.

The paper provides quantitative analysis on heavy quark energy loss and meson production, revealing significant suppression in the nuclear modification factor (RAA) and non-zero elliptic flow (v2), which align with experimental results from both LHC and RHIC. The inclusion of the nuclear shadowing effect—reducing the production of heavy quarks in nuclear collisions—is also examined and seen to depress the RAA at low pT while slightly enhancing it at high pT.

Simulations of B mesons extend the analysis to further corroborate the findings with predictions aligning well with observable trends. The cross-examination of different initial conditions and hydrodynamic profiles illustrates the sensitivity of heavy quark behavior to surrounding QGP evolution, which future studies may aim to refine by incorporating event-by-event hydrodynamic fluctuations.

Conclusively, the study contributes robustly to the framework of understanding heavy quark dynamics and energy loss within QGP by enhancing the classical Langevin model and detailing hadronization through a dual mechanism approach. Future trajectory in research may address compounded theoretical and experimental uncertainties—such as absorption in energy loss calculations and accurate initial condition modelling—to quantify heavy quark observables further. The insights gleaned from this work elucidate pivotal aspects of QGP dynamics, thereby supporting enhanced modelling for high-energy collider experiments.

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