Bottomonium above Deconfinement in Lattice Nonrelativistic QCD

G. Aarts, S. Kim, M. P. Lombardo, M. B. Oktay, S. M. Ryan, D. K. Sinclair, and J.-I. Skullerud

Phys. Rev. Lett. 106, 061602 – Published 11 February 2011

Abstract

We study the temperature dependence of bottomonium for temperatures in the range $0.4 T_{c} < T < 2.1 T_{c}$ , using nonrelativistic dynamics for the bottom quark and full relativistic lattice QCD simulations for $N_{f} = 2$ light flavors on a highly anisotropic lattice. We find that the $Υ$ is insensitive to the temperature in this range, while the $χ_{b}$ propagators show a crossover from the exponential decay characterizing the hadronic phase to a power-law behavior consistent with nearly free dynamics at $T ≃ 2 T_{c}$ .

Received 21 October 2010

DOI:https://doi.org/10.1103/PhysRevLett.106.061602

Authors & Affiliations

G. Aarts¹, S. Kim², M. P. Lombardo³, M. B. Oktay⁴, S. M. Ryan⁵, D. K. Sinclair⁶, and J.-I. Skullerud⁷

¹Department of Physics, Swansea University, Swansea SA2 8PP, United Kingdom
²Department of Physics, Sejong University, Seoul 143-747, Korea
³INFN-Laboratori Nazionali de Frascati, I-00044, Frascati (RM) Italy
⁴Department of Physics and Astronomy, University of Utah, Salt Lake City, Utah 84112-0830, USA
⁵School of Mathematics, Trinity College, Dublin 2, Ireland
⁶HEP Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439, USA
⁷Department of Mathematical Physics, National University of Ireland Maynooth, Maynooth, County Kildare, Ireland