Diffusion of hidden charm mesons in hadronic medium

Abstract

The drag and diffusion coefficients of a hot hadronic medium have been evaluated by using hidden charm mesons as probes. The scattering amplitudes required for the evaluation of these coefficients are calculated using an effective theory and scattering lengths obtained from lattice QCD calculations. It is found that although the magnitude of the transport coefficients are small their temperature variation is strong. The insignificant momentum diffusion of J/ψ in the hadronic medium keeps their momentum distribution largely unaltered. Therefore, the task of characterization of quark gluon plasma by using the observed suppression of J/ψ at high momentum will be comparatively easier.

Impact of unitarization on the J/ψ-light meson cross section

“…In general, the cross section we have obtained for J/ψπ → (D D * + c.c.) reaction has a comparable or smaller magnitude at low CM energies than other ones [13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37]. As CM energy grows, the high-energy behavior of the presented findings show a more pronounced decrease of magnitude of cross section than those with any kind of control of high-energy behavior.…”

“…In order to have the correct behavior of the amplitudes at high energies, we need to implement a control procedure of the energy-dependence of cross sections. As mentioned before, most calculations found in literature for some reactions of our interest make use of form factors with different functional forms and cutoff values which could not be justified a priori [15,16,17,18,19,20,22,27,28,34,36,37].…”

“…In this sense, a large amount of effort has been dedicated to estimate the charmonia interactions with light hadrons (mainly involving π and ρ mesons) using different approaches [13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37]. Most of these analyses explore the J/ψ − π reactions with reasonable results, and can be classified in the following sort: interactions based on effective hadron Lagrangians [15,16,17,18,19,20,22,27,28,34,36,37] and constituent quark-model framework [13,14,17,21,24,25,33,35].…”

“…Concerning those works involving J/ψ absorption by light hadrons (and their inverse reactions) derived from chiral Lagrangians, we believe that there is still enough room for other contributions on this issue. First, due to the fact that the charmonium-hadron cross sections are dependent of the effective couplings that control the reactions considered [15,16,17,18,19,20,22,27,28,34,36,37]. Secondly, the majority of these mentioned calculations make use of form factors with different functional forms and cutoff values which could not be justified a priori.…”

Pseudoscalar and vector open-charm mesons at finite temperature

“…Most of these works, though, have been concentrated on the determination of the hidden-charm J/Ψ dissociation cross sections in heavy-ion collisions (see [35] for a review). In fact, there are several studies on the J/Ψ-hadron interaction at finite temperature based on chiral Lagrangians [36][37][38], quark model calculations [37,[39][40][41] and QSR schemes [42,43], QCD lattice (see [44] and references therein), and effective Lagrangians [45,46]. With regards to open-charm mesons, the studies on open-charm ther-mal relaxation in heavy-ion collisions [47][48][49][50][51][52][53] have triggered the interest of open charm at finite temperature.…”