A formula for charmonium suppression

Peña, C.; Blaschke, D.

doi:10.1134/s1063778812070101

“…The merit of such a model is its simplicity and transparency as well as its tractability [14,57,58]. Aspects of an optical potential for the propagation of charmonia through a medium have been already discussed, e.g., for cold nuclear matter in [55,62] and for a quark-gluon plasma in [54,63].…”

Section: Time-dependent Harmonic Oscillator Modelmentioning

confidence: 99%

“…The general classical trajectories for the Hamiltonian (4) can be found in [14,57,58,65,66,67] and references therein. It is given by a linear combinations of the two solutions…”

Section: Time-dependent Harmonic Oscillator Modelmentioning

confidence: 99%

“…We restrict our discussion here to ground state charmonium at rest in the QGP medium (p T = y = 0) so that the discussion of Lorentz boost effects on the formation process can be omitted. We include, however, the feed-down from higher charmonia states which are discussed more in detail elsewhere [57,58]. The next section is dedicated to the application of the generalized Matsui approach.…”

Section: Suppression Factor For Quarkoniummentioning

confidence: 99%

“…The use of complex potentials for describing data of charmonium suppression in pp and pA collisions has been documented in [53,54,55,56]. An application of a time-dependent harmonic oscillator (THO) model with a complex oscillator frequency to experimental data of charmonium production in AA collisions has recently been given [14,57]. This application predicted the formation of resonances nearby the onset of charmonium suppression (Mott transition) [58].…”

Section: Introductionmentioning

confidence: 99%

“…The quantum mechanical evolution, as a function of the time t is encrypted in the evolution amplitude U( r, r 0 , t) for the initial QQ state φ QQ . We have examined two alternatives for the initial state: a delta function [14,57] and a Gaussian [58]. Other forms are also possible like the Bessel function used in a description of the photoproduction of charmonia [60].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Peña

¹

,

Blaschke

²

2014

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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.

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

Pena,

Blaschke

2013

Preprint

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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.

show abstract