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 · Mon Nov 02 00:00:00 EST 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 (TJNAF), Newport News, VA (United States)

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

Contributing Organization:: Hadron Spectrum Collaboration

Grant/Contract Number:: AC05-00OR22725; AC02-05CH11231; SC0006765; OCI-0725070; ACI-1238993; ST/L000385/1; AC05-06OR23177

OSTI ID:: 1224795

Alternate ID(s):: OSTI ID: 1224871

Report Number(s):: JLAB-THY-15-2101; DOE/OR/23177-3465; arXiv:1507.02599; PRVDAQ; TRN: US1600938

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 153 works

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