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Title Dynamically-coupled partial-waves in rho pi isospin-2 scattering from lattice QCD
Authors Antoni Woss, Christopher Thomas, Jozef Dudek, Robert Edwards, David Wilson
JLAB number JLAB-THY-18-2643
LANL number arXiv:1802.05580
Other number DOE/OR/23177-4345
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for Journal of High Energy Physics
Volume 7
Page(s) 43
Refereed
Publication Abstract: We present the first determination of ? ? scattering using lattice QCD, a first-principles numerical approach to QCD. Considering the case of isospin-2, we are able to calculate partial-wave amplitudes of both parities with J P = 1+, determine the degree of dynamical mixing between the coupled 3S1 and 3D1 channels. The analysis makes use of the relationship between scattering amplitudes and the discrete spectrum of states in the finite periodic volume defined by the lattice. Constraints on the elastic scattering amplitudes are provided by over a 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 analysis of matrices of correlations functions computed with a large basis of meson-meson operators. Calculations are performed with degenerate light and strange quarks tuned to the physical strange quark mass such that m? ~ 700 MeV, which ensures that the ? is stable against strong decay. The successful calculation of ? ? scattering amplitudes opens the door to calculations of other scattering processes involving resonances or bound-states that feature hadrons with non-zero intrinsic spin.
Experiment Numbers: other
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1007/JHEP07(2018)043
Accepted Manuscript: Woss2018_Article_Dynamically-coupledPartial-wav.pdf
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