Quantum mechanical model for J/ψ suppression in the LHC era

Abstract

We discuss the interplay of screening, absorption and regeneration effects, on the quantum mechanical evolution of quarkonia states, within a time-dependent harmonic oscillator (THO) model with complex oscillator strength. We compare the results with data for R AA /R AA (CNM) from CERN and RHIC experiments. In the absence of a measurement of cold nuclear matter (CNM) effects at LHC we estimate their role and interpret the recent data from the ALICE experiment. We also discuss the temperature dependence of the real and imaginary parts of the oscillator frequency which stand for screening and absorption/regeneration, respectively. We point out that a structure in the J/ψ suppression pattern for In-In collisions at SPS is possibly related to the recently found X(3872) state in the charmonium spectrum. Theoretical support for this hypothesis comes from the cluster expansion of the plasma Hamiltonian for heavy quarkonia in a strongly correlated medium.

Nonequilibrium Pion Distribution within the Zubarev Approach

“…We use the hydrodynamical expansion under conservation of the initial entropy S 0 which determines the temperature evolution according to s(T)V(τ) = S 0 = const., where for the entropy density we use a fit to lattice QCD data from Reference [52].…”

Temperature Dependence of Upsilon Suppression in Quark--Gluon Plasma and Study of Its Critical Parameters

“…Beraudo et al [20] have interpreted that the imaginary part in the real-time potential arises due to the collisions of the heavy quarks with the light fermions of the thermal bath, whereas Laine et al [21] have measured the thermal imaginary part of real-time static potential from classical lattice gauge theory simulations. Margotta et al [22] have investigated quarkonium states in a complex-valued potential and determined the dissociation temperature of the ground state and first excited states considering both real and imaginary part of the binding energy of quarkonia when immersed in QGP, whereas Pena et al [23] have discussed the role of static screening and absorption/regeneration kinetics in the quarkonium time evolution by employing the time-dependent harmonic oscillator model and the temperature dependence of the real and imaginary parts of the oscillator frequency. Solana et al [24] have shown that the complex potential is much more effective in suppressing quarkonia states than the real one.…”