TL;DR
This paper generalizes Matsui's 1989 formula for charmonium suppression using a complex harmonic oscillator model, enabling analytical description of J/ suppression in heavy-ion collisions at various collider energies.
Contribution
It introduces an analytical generalization of the suppression formula for complex potentials using a 3D isotropic time-dependent harmonic oscillator model.
Findings
The generalized formula can describe J/ suppression in heavy-ion collisions.
Analytical tractability offers a new approach for studying quarkonium suppression.
Potential applicability to CERN-SPS, RHIC, and LHC data.
Abstract
In this work a formula for charmonium suppression obtained by Matsui in 1989 is analytically generalized for the case of complex c-cbar potential described by a 3-dimensional and isotropic time-dependent harmonic oscillator (THO). It is suggested that under certain conditions the formula can be applied to describe J/\psi suppression in heavy-ion collisions at CERN-SPS, RHIC, and LHC with the advantage of analytical tractability.
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