Baryon masses at nonzero isospin/kaon density

Abstract

We present a lattice QCD calculation of the ground-state energy shifts of various baryons in a medium of pions or kaons at a single value of the quark mass corresponding to a pion mass of m_π~390 MeV and a kaon mass of m_K~540 MeV, and in a spatial volume V (4fm)^3. All systems are created using a canonical formalism in which quark propagators are contracted into correlation functions of fixed isospin/kaon density. We study four different systems, Σ^+(π^+)^n, Ξ^0(π^+)^n, p(K^+)^n, and n(K^+)^n, for up to n=11 mesons. From the ground-state energy shifts we extract two- and three-body scattering parameters, as well as linear combinations of low-energy constants appearing in tree-level chiral perturbation theory.

published version

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Cited by in corpus (5)

• Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism
• Alternative derivation of the relativistic three-particle quantization condition
• Low energy scattering phase shifts for meson-baryon systems
• Nuclear Reactions from Lattice QCD
• S-wave kaon-nucleon potentials with all-to-all propagators in the HAL QCD method