Coupled-channel Dπ, Dη and $$ {D}_s\overline{K}$$ scattering from lattice QCD
Abstract
We present the first lattice QCD study of coupled-channel Dπ, Dη and $$ {D}_s\overline{K}$$ scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable of resolving both meson and mesonmeson contributions to the spectrum. These correlation matrices are analysed using a variational approach to extract the finite-volume energy eigenstates. Utilising Lüscher’s method and its extensions, we constrain scattering amplitudes in S, P and D-wave as a function of energy. By analytically continuing the scattering amplitudes to complex energies, we investigate the S-matrix singularities. Working at mπ ≈ 391 MeV, we find a pole corresponding to a JP = 0+ near-threshold bound state with a large coupling to Dπ. We also find a deeply bound JP = 1-state, and evidence for a JP = 2+ narrow resonance coupled predominantly to Dπ. Elastic Dπ scattering in the isospin-3/2 channel is studied and we find a weakly repulsive interaction in S-wave.
- Authors:
-
- Univ. of Cambridge (United Kingdom). Centre for Mathematical Sciences, Dept. of Applied Mathematics and Theoretical Physics
- Trinity College, Dublin (Ireland)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- Contributing Org.:
- on behalf of the Hadron Spectrum collaboration
- OSTI Identifier:
- 1567441
- Grant/Contract Number:
- ST/L000385/1; ST/K001590/1; ST/H008861/1; ST/H00887X/1; ST/K00333X/1
- 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: 2016; Journal Issue: 10; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Physics; Lattice field theory simulation; QCD Phenomenology
Citation Formats
Moir, Graham, Peardon, Michael, Ryan, Sinéad M., Thomas, Christopher E., and Wilson, David J. Coupled-channel Dπ, Dη and $ {D}_s\overline{K}$ scattering from lattice QCD. United States: N. p., 2016.
Web. doi:10.1007/JHEP10(2016)011.
Moir, Graham, Peardon, Michael, Ryan, Sinéad M., Thomas, Christopher E., & Wilson, David J. Coupled-channel Dπ, Dη and $ {D}_s\overline{K}$ scattering from lattice QCD. United States. https://doi.org/10.1007/JHEP10(2016)011
Moir, Graham, Peardon, Michael, Ryan, Sinéad M., Thomas, Christopher E., and Wilson, David J. Tue .
"Coupled-channel Dπ, Dη and $ {D}_s\overline{K}$ scattering from lattice QCD". United States. https://doi.org/10.1007/JHEP10(2016)011. https://www.osti.gov/servlets/purl/1567441.
@article{osti_1567441,
title = {Coupled-channel Dπ, Dη and $ {D}_s\overline{K}$ scattering from lattice QCD},
author = {Moir, Graham and Peardon, Michael and Ryan, Sinéad M. and Thomas, Christopher E. and Wilson, David J.},
abstractNote = {We present the first lattice QCD study of coupled-channel Dπ, Dη and $ {D}_s\overline{K}$ scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable of resolving both meson and mesonmeson contributions to the spectrum. These correlation matrices are analysed using a variational approach to extract the finite-volume energy eigenstates. Utilising Lüscher’s method and its extensions, we constrain scattering amplitudes in S, P and D-wave as a function of energy. By analytically continuing the scattering amplitudes to complex energies, we investigate the S-matrix singularities. Working at mπ ≈ 391 MeV, we find a pole corresponding to a JP = 0+ near-threshold bound state with a large coupling to Dπ. We also find a deeply bound JP = 1-state, and evidence for a JP = 2+ narrow resonance coupled predominantly to Dπ. Elastic Dπ scattering in the isospin-3/2 channel is studied and we find a weakly repulsive interaction in S-wave.},
doi = {10.1007/JHEP10(2016)011},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2016,
place = {United States},
year = {Tue Oct 04 00:00:00 EDT 2016},
month = {Tue Oct 04 00:00:00 EDT 2016}
}
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