Coupled ππ, KK¯ scattering in P-wave and the ρ resonance from lattice QCD

Wilson, David J.; Briceño, Raúl A.; Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E.

doi:10.1103/PhysRevD.92.094502

Title: Coupled $π π$ , $K \bar{K}$ scattering in $P$ -wave and the $ρ$ resonance from lattice QCD

Journal Article · 01 November 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI: https://doi.org/10.1103/PhysRevD.92.094502 · OSTI ID:1224795

Wilson, David J. ^[1]; Briceño, Raúl A. ^[2]; Dudek, Jozef J. ^[3]; Edwards, Robert G. ^[2]; Thomas, Christopher E. ^[4]

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)

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.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Contributing Organization:: Hadron Spectrum Collaboration

Grant/Contract Number:: AC02-05CH11231; AC05-00OR22725; AC05-06OR23177; SC0006765

OSTI ID:: 1224795

Report Number(s):: DOE/OR/23177--3465; JLAB-THY--15-2101; arXiv:1507.02599

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 9 Vol. 92; ISSN PRVDAQ; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarization Erben, Felix; Green, Jeremy; Mohler, Daniel Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-01787	text	January 2020
FLAG Review 2019 Aoki, S.; Aoki, Y.; Becirevic, D. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-04064	text	January 2020
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Lattice QCD and Neutrino-Nucleus Scattering Kronfeld, Andreas S.; Richards, David G.; Detmold, William arXiv https://doi.org/10.48550/arxiv.1904.09931	text	January 2019
A coupled-channel lattice study on the resonance-like structure $Z_c(3900)$ Chen, Ting; Chen, Ying; Gong, Ming arXiv https://doi.org/10.48550/arxiv.1907.03371	text	January 2019
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Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarisation Erben, Felix; Green, Jeremy R.; Mohler, Daniel arXiv https://doi.org/10.48550/arxiv.1910.01083	text	January 2019
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