Baryon masses at nonzero isospin/kaon density

Journal Article · 14 October 2013 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI: https://doi.org/10.1103/physrevd.88.074501 · OSTI ID:1505730

Detmold, William ^[1]; Nicholson, Amy N. ^[2]

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1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); none
2. Univ. of Maryland, College Park, MD (United States)

We propose 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 ~ (4 fm)³. All systems are made using a canonical formalism in which quark propagators are contracted into correlation functions of fixed isospin/kaon density. We examine four different systems, Σ⁺(π⁺)ⁿ, Ξ⁰(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.

• Research Organization: Univ. of Maryland, College Park, MD (United States); College of William and Mary, Williamsburg, VA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
• Grant/Contract Number: FG02-93ER40762
• OSTI ID: 1505730
• Journal Information: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 7 Vol. 88; ISSN PRVDAQ; ISSN 1550-7998
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English