Dynamicallycoupled partialwaves in ρπ isospin2 scattering from lattice QCD
Abstract
We present the first determination of ρπ scattering, incorporating dynamicallycoupled partialwaves, using lattice QCD, a firstprinciples numerical approach to QCD. Considering the case of isospin2 ρπ, we calculate partialwave amplitudes with J ≤ 3 and determine the degree of dynamical mixing between the coupled S and Dwave 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 mesonmeson 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 dynamicallycoupled partialwaves, including those involving resonances or bound states.
 Authors:

 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)
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (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.:
 for the Hadron Spectrum collaboration
 OSTI Identifier:
 1462038
 Report Number(s):
 JLABTHY182643; DOE/OR/231774345; arXiv:1802.05580; DAMTP20186
Journal ID: ISSN 10298479; PII: 8577; TRN: US1902093
 Grant/Contract Number:
 AC0506OR23177
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 7; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice field theory simulation; QCD Phenomenology
Citation Formats
Woss, Antoni J., Thomas, Christopher E., Dudek, Jozef J., Edwards, Robert G., and Wilson, David J. Dynamicallycoupled partialwaves in ρπ isospin2 scattering from lattice QCD. United States: N. p., 2018.
Web. doi:10.1007/JHEP07(2018)043.
Woss, Antoni J., Thomas, Christopher E., Dudek, Jozef J., Edwards, Robert G., & Wilson, David J. Dynamicallycoupled partialwaves in ρπ isospin2 scattering from lattice QCD. United States. https://doi.org/10.1007/JHEP07(2018)043
Woss, Antoni J., Thomas, Christopher E., Dudek, Jozef J., Edwards, Robert G., and Wilson, David J. Fri .
"Dynamicallycoupled partialwaves in ρπ isospin2 scattering from lattice QCD". United States. https://doi.org/10.1007/JHEP07(2018)043. https://www.osti.gov/servlets/purl/1462038.
@article{osti_1462038,
title = {Dynamicallycoupled partialwaves in ρπ isospin2 scattering from lattice QCD},
author = {Woss, Antoni J. and Thomas, Christopher E. and Dudek, Jozef J. and Edwards, Robert G. and Wilson, David J.},
abstractNote = {We present the first determination of ρπ scattering, incorporating dynamicallycoupled partialwaves, using lattice QCD, a firstprinciples numerical approach to QCD. Considering the case of isospin2 ρπ, we calculate partialwave amplitudes with J ≤ 3 and determine the degree of dynamical mixing between the coupled S and Dwave channels with JP = 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 mesonmeson operators. Calculations are performed with degenerate light and strange quarks tuned to the physical strange quark mass so that mπ ~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 dynamicallycoupled partialwaves, including those involving resonances or bound states.},
doi = {10.1007/JHEP07(2018)043},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2018,
place = {United States},
year = {2018},
month = {7}
}
Web of Science
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