Probe the color screening in proton-nucleus collisions with complex potentials

Abstract

Color screening and parton inelastic scattering modify the heavy-quark antiquark potential in the medium that consists of particles from quantum chromodynamics (QCD), leading to suppression of quarkonium production in relativistic heavy-ion collisions. Due to small charm/anti-charm ($c\bar{c}$) pair production number in proton-nucleus (pA) collisions, the correlation between different $c\bar{c}$ pairs is negligible, which makes the Schrödinger equation viable for tracking the evolution of only one $c\bar{c}$ pair. We employ the time-dependent Schrödinger equation with in-medium $c\bar{c}$ potential to study the evolution of charmonium wave functions in the hydrodynamic like QCD medium produced in pA collisions. We explore different parametrizations of real and imaginary parts of $c\bar{c}$ potential and calculate the nuclear modification factors ($R_{\mathrm{pA}}$) of $J/\psi$ and $\psi (2S)$ in $\sqrt{s_{NN}}=5.02$ TeV energy p-Pb collisions at Large Hadron Collider (LHC). Comparing a strong and a weak screening scenario with experimental data in this approach, we arrive at the conclusion that the color screening is weak at temperature close to deconfined phase transition. Moreover, the imaginary part of the potential is crucial to describe the experimental data which is consistent with widely studied semi-classical approaches where the dissociation rates are essential.

9 pages, 8 figures, accepted by Chinese Physics C

References in corpus (9)

• EPS09 - a New Generation of NLO and LO Nuclear Parton Distribution Functions
• Static quark-antiquark pairs at finite temperature
• J/psi Production in Quark-Gluon Plasma
• Static quark-antiquark potential in the quark-gluon plasma from lattice QCD
• Color Screening and Regeneration of Bottomonia in High-Energy Heavy-Ion Collisions
• Transverse Momentum Spectra of J/ψin Heavy-Ion Collisions
• Upsilon Production as a Probe for Early State Dynamics in High Energy Nuclear Collisions at RHIC
• Extraction of the Heavy-Quark Potential from Bottomonium Observables in Heavy-Ion Collisions
• Cold and Hot Nuclear Matter Effects on Charmonium Production in p+Pb Collisions at LHC Energy

Cited by in corpus (7)

• Bottomonium sequential suppression and strong heavy-quark potential in heavy-ion collisions
• Probing QGP droplets with charmonium in high-multiplicity proton-proton collisions
• Bottomonium transport in p-Pb and Pb-Pb collisions at the LHC
• Non-thermal distributions of charm and charmonium in relativistic heavy-ion collisions
• Charmonium dissociation at high baryon chemical potential
• Measurement of $\psi (2S)$ to $J/\psi$ cross-section ratio as function of multiplicity in $p$Pb collisions at$\sqrt{s_{NN}}=8.16$ TeV
• Anisotropic flows of charmonium in the relativistic heavy-ion collisions