skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Lattice QCD study of mixed systems of pions and kaons

Abstract

The O(100) 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. 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 $$\xi=a_s/a_t=3.5$$, and a spatial volume $$L^3\sim (2.5\ {\rm fm})^3$$. Particular attention is paid to additional thermal states present in the spectrum because of the finite temporal extent. The quark masses used correspond to pion and kaon masses of $$m_\pi$$ ~ 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.

Authors:
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1022604
Report Number(s):
JLAB-THY-11-1332; DOE/OR/23177-1509; arXiv:1103.4362
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1104304
DOE Contract Number:  
AC05-06OR23177
Resource Type:
Journal Article
Journal Name:
Phys.Rev.D
Additional Journal Information:
Journal Volume: 84; Journal Issue: 01; Journal ID: ISSN 1550-7998
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; GROUND STATES; ISOSPIN; KAONS; PERTURBATION THEORY; PIONS; QUANTUM CHROMODYNAMICS; QUARKS; STRANGENESS

Citation Formats

William Detmold, Brian Smigielski. Lattice QCD study of mixed systems of pions and kaons. United States: N. p., 2011. Web. doi:10.1103/PhysRevD.84.014508.
William Detmold, Brian Smigielski. Lattice QCD study of mixed systems of pions and kaons. United States. https://doi.org/10.1103/PhysRevD.84.014508
William Detmold, Brian Smigielski. Fri . "Lattice QCD study of mixed systems of pions and kaons". United States. https://doi.org/10.1103/PhysRevD.84.014508. https://www.osti.gov/servlets/purl/1022604.
@article{osti_1022604,
title = {Lattice QCD study of mixed systems of pions and kaons},
author = {William Detmold, Brian Smigielski},
abstractNote = {The O(100) 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. 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 $\xi=a_s/a_t=3.5$, and a spatial volume $L^3\sim (2.5\ {\rm fm})^3$. Particular attention is paid to additional thermal states present in the spectrum because of the finite temporal extent. The quark masses used correspond to pion and kaon masses of $m_\pi$ ~ 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.},
doi = {10.1103/PhysRevD.84.014508},
url = {https://www.osti.gov/biblio/1022604}, journal = {Phys.Rev.D},
issn = {1550-7998},
number = 01,
volume = 84,
place = {United States},
year = {2011},
month = {7}
}