Transport properties of bottomed mesons in a hot mesonic gas
arXiv:1211.1331 · doi:10.1103/PhysRevD.87.034019
Abstract
In this work we evaluate the B-meson drag and diffusion coefficients in a hot medium constituted of light mesons (pions, kaons and eta mesons). We treat the B-meson and B*-meson interaction with pseudo-Goldstone bosons in chiral perturbation theory at next-to-leading order within the constraints from heavy quark symmetry, and employ standard unitarization techniques of NLO amplitudes in order to account for dynamically generated resonances (leading to a more efficient heavy-flavor diffusion) and thus reach higher temperatures. We estimate individual meson contributions from the gas to the transport coefficients and perform a comparison with other findings in literature. We report a bottom relaxation length of about 80 fm at a temperature of 150 MeV and for typical momenta of 1 GeV, at which our approach is reliable. Compared to a charm relaxation length of 40 fm in the same conditions, we conclude that the B mesons provide a cleaner probe of the early stages of a heavy-ion collision.
arXiv comment14 pages, 16 figures, 3 tables. Version published in Phys.Rev.D87, 034019 (2013). Only minor improvements with respect to v1: corrected typos, further clarifications and updated references
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- A random walk with heavy flavours
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