Charmonium-nucleon dissociation cross sections in the quark model

Abstract

Charmonium dissociation cross sections due to flavor-exchange charmonium-baryon scattering are computed in the constituent quark model. We present results for inelastic J/ψN and ηcN scattering amplitudes and cross sections into 46 final channels, including final states composed of various combinations of D, D * , Σc, and Λc. These results are relevant to experimental searches for the deconfined phase of quark matter, and may be useful in identifying the contribution of initial cc production to the open-charm final states observed at RHIC through the characteristic flavor ratios of certain channels. These results are also of interest to possible charmonium-nucleon bound states.

J/ψabsorption by nucleons in the meson-exchange model

“…Recently, the J /ψ-nucleon dissociation cross sections have been calculated in a quark-interchange model by Hilbert et al [15], and the results show a large difference from the meson-exchange model predictions of Ref. [12].…”

“…[5] for a recent study on this subject.) Theoretically, these cross sections have been estimated in various ways including the perturbative quantum chromodynamics (QCD) [6], QCD sum-rule approach [7], mesonexchange models [8][9][10][11][12], Regge theory approach [13], quark models [14,15], lattice QCD [16], and other methods [17]. Despite the efforts to resolve the model dependence of the cross sections, the uncertainties in theoretical/model calculations for the J /ψ-hadron cross sections are not yet clarified and the predicted cross sections are model dependent not only in the magnitude but also in the energy dependence.…”

Screened potential and quarkonia properties at high temperatures

“…Of course, related to this critical value of 1/r b there should be a critical temperature T c . As mentioned in the introduction, an abrupt increase of the size of the meson wave functions will impact the phenomenology of quarkonia interactions in medium, in particular for scattering dissociation processes [25,26,27,28,29]. In a quark model description, such dissociation cross sections depend upon the degree of overlap of the wave functions of the hadrons and so depend crucially on the size of the wave functions in coordinate space.…”

“…In particular, the radius of a quarkonium bound state remains almost independent of the temperature up to the critical temperature, when starts to increase abruptly. Such a behavior will impact the phenomenology of quarkonia interactions in medium, in particular for scattering dissociation processes [25,26,27,28], a topic very important for the experimental programs of heavy-ion collisions like the experiments at the FAIR facility at the GSI laboratory in Germany, in particular for the CBM experiment [29].…”

Charmonium and D mesons in hadronic matter

“…It is interesting to mention that a similar behavior has been obtained for heavy-light mesons using a thermal Hilbert moment QCD sum rules [10,11], a completely different approach from the one used here. The dramatic, fast increase of the size of a bound state resembles a critical phenomenon and has impact in the phenomenology of quarkonia interactions in medium, in particular for scattering dissociation processes [12,13,14,15] which proceed via constituent interchange. For short-range interactions, dissociation cross sections depend essentially on the degree of overlap of the wave functions of the scattering hadrons.…”