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Phys. Rev. C 73, 064906 (2006) [16 pages]

Bottomonium production at sNN=200 GeV and sNN=5.5 TeV

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L. Grandchamp
Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA

S. Lumpkins
University of Oklahoma, Norman, Oklahoma 73019, USA, and Cyclotron Institute and Physics Department, Texas A&M University, College Station, Texas 77843-3366, USA

D. Sun, H. van Hees, and R. Rapp
Cyclotron Institute and Physics Department, Texas A&M University, College Station, Texas 77843-3366, USA

Received 29 July 2005; published 29 June 2006

Properties of bottomonia (ϒ,χb, and ϒ') in the quark-gluon plasma (QGP) are investigated by assessing inelastic reaction rates and their interplay with open-bottom states (b quarks or B mesons) and color screening. The latter leads to vanishing quarkonium-binding energies at sufficiently high temperatures (close to the dissolution point), which, in particular, renders standard gluo-dissociation, g+ϒb+b̅ , inefficient because of a substantial reduction in final-state phase space. This problem is overcome by invoking a “quasifree” destruction mechanism, g,q,q̅ +ϒg,q,q̅ +b+b̅ , as previously introduced for charmonia. The pertinent reaction rates are implemented into a kinetic theory framework to evaluate the time evolution of bottomonia in heavy-ion reactions at the Relativistic Heavy Ion Collider and the CERN Large Hadron Collider within an expanding fireball model. Although bottom quarks are assumed to be exclusively produced in primordial nucleon-nucleon collisions, their thermal relaxation times in the QGP, which importantly figure into ϒ-formation rates, are estimated according to a recent Fokker-Planck treatment. Predictions for the centrality dependence of ϒ production are given for upcoming experiments at RHIC and LHC. At both energies, ϒ suppression turns out to be the prevalent effect.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.73.064906
DOI:
10.1103/PhysRevC.73.064906
PACS:
25.75.Nq, 12.38.Mh, 25.75.Dw