Quarkonium at nonzero isospin density
Author(s)
Detmold, William; Meinel, Stefan; Shi, Zhifeng
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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.
Date issued
2013-05Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics; Massachusetts Institute of Technology. Laboratory for Nuclear ScienceJournal
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
ISSN
1550-7998
1089-4918