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Collective flow in p-Pb and d-Pb collisions at TeV energies (1112.0915v2)

Published 5 Dec 2011 in hep-ph, nucl-ex, and nucl-th

Abstract: We apply the hydrodynamic model for the dynamics of matter created in p-Pb collisions at 4.4TeV and d-Pb collisions at 3.11TeV. The fluctuating initial conditions are calculated in the Glauber Monte-Carlo model for several centrality classes. The expansion is performed event by event in 3+1-dimensional viscous hydrodynamics. Noticeable elliptic and triangular flows appear in the distributions of produced particles.

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Summary

  • The paper demonstrates that viscous hydrodynamic simulations predict significant elliptic and triangular flow in p-Pb and d-Pb collisions.
  • The study employs the Glauber Monte-Carlo model for initial fluctuations followed by event-by-event 3+1D hydrodynamic evolution incorporating shear and bulk viscosities.
  • The results, including up to 9.7% elliptic flow in central d-Pb collisions, support using collective flow as a probe for quark-gluon plasma properties.

Overview of "Collective flow in p-Pb and d-Pb collisions at TeV energies"

Piotr Bożek's paper presents a detailed paper on the collective flow phenomena in proton-lead (p-Pb) and deuteron-lead (d-Pb) collisions at significant energy levels, specifically at center-of-mass energies of 4.4 TeV and 3.11 TeV, respectively. This research employs a viscous hydrodynamic model to simulate the dynamics of the matter produced during these collisions, offering insights into the behavior and interaction of densely packed particle systems formed in such high-energy environments.

Methodology

The paper initiates with the calculation of fluctuating initial conditions using the Glauber Monte-Carlo model across different centrality classes. Subsequently, the expansion dynamics are modeled on an event-by-event basis using a $3+1$-dimensional viscous hydrodynamic approach. This sophisticated model helps in capturing the detailed behavior of small systems like p-Pb and d-Pb collisions, particularly focusing on the azimuthal anisotropies such as elliptic flow (v2v_2) and triangular flow (v3v_3).

An essential component of this methodology is the incorporation of shear and bulk viscosities. While the shear viscosity to entropy ratio increases in the hadronic phase, the bulk viscosity is also considered, which provides a more realistic evolution of the system. The paper leverages the dynamically evolved density distributions to calculate observables like particle spectra and azimuthal flow coefficients.

Numerical Results and Claims

The paper reports observable elliptic and triangular flows in the produced particle distributions. The collective flow coefficients for different pseudorapidity and transverse momentum ranges exhibit significant magnitudes, implying substantial anisotropic expansion even in these relatively smaller collision systems. For instance, elliptic flow coefficients reach up to approximately 9.7% in central d-Pb collisions, supporting the presence of collective behavior similar to that in larger systems like Pb-Pb collisions.

The results suggest that both eccentricity and triangularity can serve as effective initial conditions for modeling such systems, and the subsequent collective flow is an indicator of the validity of viscous hydrodynamic descriptions. These findings advocate for the use of collective flow analysis as a tool to probe quark-gluon plasma characteristics, even in proton and deuteron-induced interactions with lead ions.

Implications and Future Directions

This research provides crucial predictions and a framework through which future experiments involving proton and deuteron collisions at high energies, such as those planned at the Large Hadron Collider (LHC), can be analyzed. Observing significant elliptic flow in both p-Pb and d-Pb systems extends the applicability of hydrodynamic models to smaller system sizes and opens potential for these findings to be experimentally verified.

The implications for particle physics, especially in understanding the nature of quark-gluon plasma formation and its properties in asymmetric nuclear collisions, are profound. Future experiments could exploit the predictions of this paper to refine models of nuclear matter under extreme conditions.

In summary, Bożek's paper supports and extends the applicability of hydrodynamic simulations in small collision systems at high energies. The robust methodology and promising results highlight the importance of continuing detailed flow analyses in the quest to further unravel the complexities of subatomic particle interactions at unprecedented energy scales.

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