A method to study complex systems of mesons in Lattice QCD

Abstract

Finite density systems can be explored with Lattice QCD through the calculation of multi-hadron correlation functions. Recently, systems with up to 12 ${\pi }^{+}$'s or $K^{+}$'s have been studied to determine the 3-${\pi }^{+}$ and 3-$K^{+}$ interactions, and the corresponding chemical potentials have been determined as a function of density. We derive recursion relations between correlation functions that allow this work to be extended to systems of arbitrary numbers of mesons and to systems containing many different types of mesons, such as ${\pi }^{+}$'s, $K^{+}$'s, ${\bar{D}}^0$'s and $B^{+}$'s. These relations allow for the study of finite-density systems in arbitrary volumes, and for the study of high-density systems.

JLAB-THY-10-1121, NT@UW-10-01, journal version

References in corpus (4)

• Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
• High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
• Helium Nuclei in Quenched Lattice QCD
• Kaon Condensation with Lattice QCD

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• Phase shifts in I=2 ππ-scattering from two lattice approaches
• QCD constraints on isospin-dense matter and the nuclear equation of state
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• Baryon masses at nonzero isospin/kaon density
• LQCD at non zero isospin chemical potential
• Nuclear Forces from Lattice Quantum Chromodynamics
• Investigations of QCD at non-zero isospin density
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