Quarkonium at non-zero 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 behaviour 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 behaviour seen in two-colour QCD at non-zero quark chemical potential. In the process of our analysis, the ${\eta }_b$-$\pi$ and ${\rm Y}$-$\pi$ scattering phase shifts are determined at low momentum. An interpolation of the scattering lengths to the physical pion mass gives $a_{{\eta }_b,\pi }=0.0025(8)(6)$ fm and $a_{{\rm Y},\pi }=0.0030(9)(7)$ fm.

v3: typos corrected

References in corpus (15)

• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing
• Deconfinement in dense 2-color QCD
• Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
• Lattice QCD at non-zero isospin chemical potential
• Bottomonium spectrum at order v^6 from domain-wall lattice QCD: precise results for hyperfine splittings
• Evidence for the eta_b(2S) and observation of h_b(1P) -> eta_b(1S) gamma and h_b(2P) -> eta_b(1S) gamma
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• First lattice study of low-energy charmonium-hadron interaction
• S wave bottomonium states moving in a quark-gluon plasma from lattice NRQCD
• Hadron Spectrum in a Two-Colour Baryon-Rich Medium
• Lattice QCD study of mixed systems of pions and kaons
• Extracting $\pi \pi$ $S$-wave scattering lengths from cusp effect in heavy quarkonium dipion transitions
• Color Screening by Pions
• Kaon Condensation with Lattice QCD

Cited by in corpus (11)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• The bottomonium spectrum at finite temperature from $N_f=2+1$ lattice QCD
• Quarkonium-Nucleus Bound States from Lattice QCD
• Interplay of quark and meson degrees of freedom in near-threshold states: A practical parametrisation for line shapes
• A practical parametrization for line shapes of near-threshold states
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• Finite-volume matrix elements in multi-boson states
• Static meson correlators in 2+1 flavor QCD at non-zero temperature
• Baryon masses at nonzero isospin/kaon density
• $Z_c(3900)$ in a hadronic molecule and a triangle singularity approach at finite temperature
• Heavy Quarkonium at finite temperature and chemical potential