Abstract
Many prior studies of in-medium quarkonium suppression have implicitly made use of an adiabatic approximation in which it was assumed that the heavy quark potential is a slowly varying function of time. In the adiabatic limit, one can separately determine the in-medium breakup rate and the medium time evolution, folding these together only at the end of the calculation. In this paper, we relax this assumption by solving the 3d Schrodinger equation in real-time in order to compute quarkonium suppression dynamically. We compare results obtained using the adiabatic approximation with real-time calculations for both harmonic oscillator and realistic complex heavy quark potentials. Using the latter, we find that, for the Upsilon(1s), the difference between the adiabatic approximation and full real-time evolution is at the few percent level, however, for the Upsilon(2s), we find that the correction can be as large as 18% in low temperature regions. For the J/Psi, we find a larger difference between the dynamical evolution and the adiabatic approximation, with the error reaching approximately 36%.
Highlights
The primary goal of the ultrarelativistic heavy-ion collision (URHIC) program ongoing at Brookhaven National Laboratory’s Relativistic Heavy Ion Collider (RHIC) and the European Organization for Nuclear Research’s Large Hadron Collider (LHC) is to produce and study the properties of a deconfined state of matter called the quark-gluon plasma (QGP)
We presented the results of the real-time evolution of heavy quarkonium state subject to a timedependent complex-valued potential
We considered two cases: a complex harmonic oscillator (CHO) potential and a complex Karsch-Mehr-Satz (CKMS) potential
Summary
The primary goal of the ultrarelativistic heavy-ion collision (URHIC) program ongoing at Brookhaven National Laboratory’s Relativistic Heavy Ion Collider (RHIC) and the European Organization for Nuclear Research’s Large Hadron Collider (LHC) is to produce and study the properties of a deconfined state of matter called the quark-gluon plasma (QGP). In the highest energy collisions at RHIC and LHC, one probes the region of the QCD phase diagram corresponding to low baryochemical potential and high temperature. In this region of the phase diagram, the QGP is believed to be created at temperatures exceeding the pseudocritical temperature Tpc ≃ 155 MeV. It is called the pseudocritical temperature because, at low baryochemical potential, the transition from a hot hadron gas to the QGP has been shown to be a crossover transition which interpolates smoothly between the hadronic and QGP phases [1,2].
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