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Title: Quarkonium at nonzero isospin density

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{sub 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{sub η{sub b},π}=0.0025(8)(6)fm and a{sub Υ,π}=0.0030(9)(7)fm.

Authors:
; ;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1079210
Report Number(s):
JLAB-THY-13-1722; DOE/OR/23177-2555; arXiv:1211.3156
Journal ID: ISSN 1550-7998; PRVDAQ
DOE Contract Number:  
AC05-06OR23177
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 87; Journal Issue: 9; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Detmold, William, Meinel, Stefan, and Shi, Zhifeng. Quarkonium at nonzero isospin density. United States: N. p., 2013. Web. doi:10.1103/PhysRevD.87.094504.
Detmold, William, Meinel, Stefan, & Shi, Zhifeng. Quarkonium at nonzero isospin density. United States. https://doi.org/10.1103/PhysRevD.87.094504
Detmold, William, Meinel, Stefan, and Shi, Zhifeng. Wed . "Quarkonium at nonzero isospin density". United States. https://doi.org/10.1103/PhysRevD.87.094504.
@article{osti_1079210,
title = {Quarkonium at nonzero isospin density},
author = {Detmold, William and Meinel, Stefan and Shi, Zhifeng},
abstractNote = {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{sub 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{sub η{sub b},π}=0.0025(8)(6)fm and a{sub Υ,π}=0.0030(9)(7)fm.},
doi = {10.1103/PhysRevD.87.094504},
url = {https://www.osti.gov/biblio/1079210}, journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 9,
volume = 87,
place = {United States},
year = {2013},
month = {5}
}