Quarkonium at nonzero isospin density
Name
Detmold-2013-Quarkonium at nonzero isospin density.pdf
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1.27 MB
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Adobe PDF
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Author(s)
Detmold, William
Meinel, Stefan
Shi, Zhifeng
Date Issued
May 2013
Journal
Physical Review D
Publisher
American Physical Society
Citation
Detmold, William, Stefan Meinel, and Zhifeng Shi. “Quarkonium at nonzero isospin density.” Physical Review D 87, no. 9 (May 2013). © 2013 American Physical Society
Version
Final published version
Abstract
We calculate the energies of quarkonium bound states in the presence of a medium of nonzero isospin density using lattice QCD. The medium, created using a canonical (fixed isospin charge) approach, induces a reduction of the quarkonium energies. As the isospin density increases, the energy shifts first increase and then saturate. The saturation occurs at an isospin density close to that where previously a qualitative change in the behavior of the energy density of the medium has been observed, which was conjectured to correspond to a transition from a pion gas to a Bose-Einstein condensed phase. The reduction of the quarkonium energies becomes more pronounced as the heavy-quark mass is decreased, similar to the behavior seen in two-color QCD at nonzero quark chemical potential. In the process of our analysis, the η[subscript b]-π and Υ-π scattering phase shifts are determined at low momentum. An interpolation of the scattering lengths to the physical pion mass gives a[subscript ηb,π]=0.0025(8)(6) fm and a[subscript Υ,π]=0.0030(9)(7) fm.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.87.094504
