Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-11-06
Nucl.Phys.A818:246-263,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, 2 figures; minor changes, added references, accepted in Nuclear Physics A
Scientific paper
10.1016/j.nuclphysa.2008.12.006
We compare two mechanisms for the dissociation of heavy mesons in an infinite quark-gluon plasma: dynamic Debye screening and multiple scattering. Using the uncertainty principle inspired by a Schrodinger-like equation, we find that the criterion a_B\simeq1/\mu\simeq 1/(\alpha_{eff}^{1/2}T) with \alpha_{eff}\equiv\alpha(N_c+{N_f\over2}) is parametrically true both for the dissociation of fast moving heavy mesons with a size a_B due to dynamic Debye screening as well as for mesons at rest in the medium. In contrast, we find that the criterion for the dissociation of heavy mesons due to uncorrelated multiple scattering is parametrically 1/a_B \simeq [\gamma\alpha_{eff}\ln{1/\alpha_{eff}}]^{1/3}T. Therefore, multiple scattering is a more efficient mechanism for the dissociation of heavy mesons in an infinite hot plasma.
Dominguez Fabio
Wu Bin
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