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What happens to the \( \Upsilon \) and η b in the quark-gluon plasma? Bottomonium spectral functions from lattice QCD

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Abstract

We study bottomonium spectral functions in the quark-gluon plasma in the \(\Upsilon \) and η b channels, using lattice QCD simulations with two flavours of light quark on highly anisotropic lattices. The bottom quark is treated with nonrelativistic QCD (NRQCD). In the temperature range we consider, \(0.{42} \leqslant T/{T_c} \leqslant {2}.0{9} \), we find that the ground states survive, whereas the excited states are suppressed as the temperature is increased. The position and width of the ground states are compared to analytical effective field theory (EFT) predictions. Systematic uncertainties of the maximum entropy method (MEM), used to construct the spectral functions, are discussed in some detail.

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Authors and Affiliations

  1. Department of Physics, Swansea University, Singleton Park, Swansea, United Kingdom

    G. Aarts, C. Allton & S. Kim

  2. Department of Physics, Sejong University, Seoul, 143-747, Korea

    S. Kim

  3. INFN — Laboratori Nazionali di Frascati, I-00044, Frascati, (RM), Italy

    M. P. Lombardo

  4. Humboldt-Universität zu Berlin, 12489, Berlin, Germany

    M. P. Lombardo

  5. Physics Department, University of Utah, Salt Lake City, Utah, USA

    M. B. Oktay

  6. School of Mathematics, Trinity College, Dublin 2, Ireland

    S. M. Ryan

  7. HEP Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois, 60439, USA

    D. K. Sinclair

  8. Department of Mathematical Physics, National University of Ireland Maynooth, Maynooth, County Kildare, Ireland

    J.-I. Skullerud

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  1. G. Aarts
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  2. C. Allton
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  3. S. Kim
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  4. M. P. Lombardo
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  5. M. B. Oktay
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  8. J.-I. Skullerud
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Correspondence to G. Aarts.

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ArXiv ePrint: 1109.4496

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Aarts, G., Allton, C., Kim, S. et al. What happens to the \( \Upsilon \) and η b in the quark-gluon plasma? Bottomonium spectral functions from lattice QCD. J. High Energ. Phys. 2011, 103 (2011). https://doi.org/10.1007/JHEP11(2011)103

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