Abstract
We compute the energy loss of heavy quarkonia in high temperature QCD plasmas and investigate the energy loss effects on quarkonium suppression. Based on the effective vertex derived from the Bethe-Salpeter amplitude for quarkonium, the collisional and radiative energy loss are determined by quarkonium-gluon elastic scattering and the associated gluon-bremsstrahlung, respectively. In the energy regime $E<m_{\Upsilon}^2/T$ the collisional energy loss is dominant over the radiative one, and the total energy loss increases with the plasma temperature and the initial energy of quarkonium. Our numerical analysis indicates that the medium-induced energy loss of the $\Upsilon$(1S) results in stronger suppression at higher momentum, although the energy loss effects are found to be small compared with the previous estimates of quarkonium dissociation in heavy-ion collisions.
Highlights
The depletion of high-momentum particle production with respect to pp collisions signals the formation of a quark-gluon plasma (QGP) in heavy-ion collisions
The average radiative energy loss per unit length is estimated by −dE /dx ≈ δE /λ with the wavelength λ = 1/(σel ρ ), where σel is the cross section of quarkonium-gluon elastic scattering in Fig. 1 and ρ =
We have presented an estimate of quarkonium energy loss in hot QCD plasmas using an effective vertex between quarkonium and gluon
Summary
The depletion of high-momentum particle production with respect to pp collisions signals the formation of a quark-gluon plasma (QGP) in heavy-ion collisions. The radiative energy loss is dominant over the collisional one for ultrarelativistic partons, whereas the collisional energy loss is not negligible for heavy quarks [8,9,10]. We will discuss how the energy loss of heavy quarkonia can be calculated using our formalism of the effective vertex, and estimate the energy-loss effects on quarkonium spectrum in heavy-ion collisions.
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