Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD

Woss, Antoni J.; Thomas, Christopher E.; Dudek, Jozef J.; Edwards, Robert G.; Wilson, David J.

doi:10.1007/JHEP07(2018)043

Title: Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD

Journal Article · 06 July 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP07(2018)043 · OSTI ID:1462038

Woss, Antoni J. ^[1]; Thomas, Christopher E. ^[1];

^[2];

^[3]; Wilson, David J. ^[4]

Univ. of Cambridge, Cambridge (United Kingdom)
College of William and Mary, Williamsburg, 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)
Trinity College, Dublin (Ireland)

We present the first determination of ρπ scattering, incorporating dynamically-coupled partial-waves, using lattice QCD, a first-principles numerical approach to QCD. Considering the case of isospin-2 ρπ, we calculate partial-wave amplitudes with J ≤ 3 and determine the degree of dynamical mixing between the coupled S and D-wave channels with J^P = 1⁺. The analysis makes use of the relationship between scattering amplitudes and the discrete spectrum of states in the finite volume lattice. Constraints on the scattering amplitudes are provided by over one hundred energy levels computed on two lattice volumes at various overall momenta and in several irreducible representations of the relevant symmetry groups. The spectra follow from variational analyses of matrices of correlations functions computed with large bases of meson-meson operators. Calculations are performed with degenerate light and strange quarks tuned to the physical strange quark mass so that m_π ~700 MeV, ensuring that the ρ is stable against strong decay. Furthermore, this work demonstrates the successful application of techniques, opening the door to calculations of scattering processes that incorporate the effects of dynamically-coupled partial-waves, including those involving resonances or bound states.

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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 Office of Science (SC), Nuclear Physics (NP) (SC-26)

Contributing Organization:: for the Hadron Spectrum collaboration

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1462038

Report Number(s):: DAMTP--2018-6; DOE/OR/23177--4345; JLAB-THY--18-2643; arXiv:1802.05580; PII: 8577

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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