Coupled , scattering in -wave and the 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:
-
- Old Dominion Univ., Norfolk, VA (United States)
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
- Univ. of Cambridge, Cambridge (United Kingdom)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (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:
- Journal Article: 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. https://doi.org/10.1103/PhysRevD.92.094502
Wilson, David J., Briceño, Raúl A., Dudek, Jozef J., Edwards, Robert G., and Thomas, Christopher E. 2015.
"Coupled ππ, KK¯ scattering in P-wave and the ρ resonance from lattice QCD". United States. https://doi.org/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},
url = {https://www.osti.gov/biblio/1224795},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 9,
volume = 92,
place = {United States},
year = {Mon Nov 02 00:00:00 EST 2015},
month = {Mon Nov 02 00:00:00 EST 2015}
}
Web of Science
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