Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP07(2018)043
Keywords
Lattice field theory simulation; QCD Phenomenology
Categories
Funding
- U.K. Science and Technology Facilities Council (STFC)
- STFC [ST/P000681/1]
- U.S. Department of Energy Early Career award [de-sc0006765]
- U.S. Department of Energy [DE-AC05-06OR23177]
- Royal Society-Science Foundation Ireland University Research Fellowship Award [UF160419]
- European Union's Horizon 2020 research and innovation programme [749850-XXQCD]
- Office of Science of the U.S. Department of Energy [DEAC02-05CH11231]
- U.S. Department of Energy INCITE program at the Oak Ridge Leadership Computing Facility
- NERSC
- NSF Teragrid at the TACC
- Pittsburgh Supercomputer Center
- Jefferson Lab
- STFC [ST/P000681/1] Funding Source: UKRI
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We present the first determination of rho pi scattering, incorporating dynamically-coupled partial-waves, using lattice QCD, a first-principles numerical approach to QCD. Considering the case of isospin-2 rho pi, 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(pi) similar to 700 MeV, ensuring that the rho is stable against strong decay. 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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