Lattice QCD study of mixed systems of pions and kaons

doi:https://doi.org/10.1103/PhysRevD.84.014508

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

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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:: William Detmold, Brian Smigielski

Publication Date:: 2011-07-01

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

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                    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.

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                    William Detmold, Brian Smigielski. Lattice QCD study of mixed systems of pions and kaons.  United States.  https://doi.org/10.1103/PhysRevD.84.014508

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                    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.

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@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}

}

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