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Title: Coupled π π , K K ¯ scattering in P -wave and the ρ resonance from lattice QCD

Abstract

In this study, we determine elastic and coupled-channel amplitudes for isospin-1 meson-meson scattering in $P$-wave, by calculating correlation functions using lattice QCD with light quark masses such that $$m_\pi = 236$$ MeV in a cubic volume of $$\sim (4 \,\mathrm{fm})^3$$. Variational analyses of large matrices of correlation functions computed using operator constructions resembling $$\pi\pi$$, $$K\overline{K}$$ and $$q\bar{q}$$, in several moving frames and several lattice irreducible representations, leads to discrete energy spectra from which scattering amplitudes are extracted. In the elastic $$\pi\pi$$ scattering region we obtain a detailed energy-dependence for the phase-shift, corresponding to a $$\rho$$ resonance, and we extend the analysis into the coupled-channel $$K\overline{K}$$ region for the first time, finding a small coupling between the channels.

Authors:
 [1];  [2];  [3];  [2];  [4]
  1. Old Dominion Univ., Norfolk, VA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
  4. Univ. of Cambridge, Cambridge (United Kingdom)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
Contributing Org.:
Hadron Spectrum Collaboration
OSTI Identifier:
1224795
Alternate Identifier(s):
OSTI ID: 1224871
Report Number(s):
JLAB-THY-15-2101; DOE/OR/23177-3465; arXiv:1507.02599
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1600938
Grant/Contract Number:  
AC05-00OR22725; AC02-05CH11231; SC0006765; OCI-0725070; ACI-1238993; ST/L000385/1; AC05-06OR23177
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 92; Journal Issue: 9; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Wilson, David J., Briceño, Raúl A., Dudek, Jozef J., Edwards, Robert G., and Thomas, Christopher E. Coupled ππ, KK¯ scattering in P-wave and the ρ resonance from lattice QCD. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.92.094502.
Wilson, David J., Briceño, Raúl A., Dudek, Jozef J., Edwards, Robert G., & Thomas, Christopher E. Coupled ππ, KK¯ scattering in P-wave and the ρ resonance from lattice QCD. United States. doi:10.1103/PhysRevD.92.094502.
Wilson, David J., Briceño, Raúl A., Dudek, Jozef J., Edwards, Robert G., and Thomas, Christopher E. Mon . "Coupled ππ, KK¯ scattering in P-wave and the ρ resonance from lattice QCD". United States. doi:10.1103/PhysRevD.92.094502. https://www.osti.gov/servlets/purl/1224795.
@article{osti_1224795,
title = {Coupled ππ, KK¯ scattering in P-wave and the ρ resonance from lattice QCD},
author = {Wilson, David J. and Briceño, Raúl A. and Dudek, Jozef J. and Edwards, Robert G. and Thomas, Christopher E.},
abstractNote = {In this study, we determine elastic and coupled-channel amplitudes for isospin-1 meson-meson scattering in $P$-wave, by calculating correlation functions using lattice QCD with light quark masses such that $m_\pi = 236$ MeV in a cubic volume of $\sim (4 \,\mathrm{fm})^3$. Variational analyses of large matrices of correlation functions computed using operator constructions resembling $\pi\pi$, $K\overline{K}$ and $q\bar{q}$, in several moving frames and several lattice irreducible representations, leads to discrete energy spectra from which scattering amplitudes are extracted. In the elastic $\pi\pi$ scattering region we obtain a detailed energy-dependence for the phase-shift, corresponding to a $\rho$ resonance, and we extend the analysis into the coupled-channel $K\overline{K}$ region for the first time, finding a small coupling between the channels.},
doi = {10.1103/PhysRevD.92.094502},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 9,
volume = 92,
place = {United States},
year = {2015},
month = {11}
}

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