Lattice QCD study of mixed systems of pions and kaons

Abstract

The different ground state energies of N-pion and M-kaon systems for N+M <=12 are studied in lattice QCD. These energies are then used to extract the various two- and three- body interactions that occur in these systems. Particular attention is paid to additional thermal states present in the spectrum because of the finite temporal extent. These calculations are performed using one ensemble of 2+1 flavor anisotropic lattices with a spatial lattice spacing a_s ~ 0.125 fm, an anisotropy factor ξ=a_s/a_t=3.5, and a spatial volume L^3 ~ (2.5 fm)^3. The quark masses used correspond to pion and kaon masses of m_π ~ 383 MeV and m_K ~ 537 MeV, respectively. The isospin and strangeness chemical potentials of these systems are found to be in the region where chiral perturbation theory and hadronic models predict a phase transition between a pion condensed phase and a kaon condensed phase.

References in corpus (11)

• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Nuclear Physics from Lattice QCD
• Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
• n-Boson Energies at Finite Volume and Three-Boson Interactions
• Rho meson condensation at finite isospin chemical potential in a holographic model for QCD
• High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
• Three-boson problem at low energy and Implications for dilute Bose-Einstein condensates
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• The K+K+ Scattering Length from Lattice QCD
• The Energy of n Identical Bosons in a Finite Volume at O(L^{-7})
• Pion condensation in holographic QCD

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• Interactions of $\pi K$, $\pi \pi K$ and $KK\pi$ systems at maximal isospin from lattice QCD
• Few-nucleon matrix elements in pionless effective field theory in a finite volume
• Pion crystals hosting topologically stable baryons
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• Towards high partial waves in lattice QCD with a dumbbell-like operator
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