Quark-Mass Dependence of Elastic $πK$ Scattering from QCD

Wilson, David J.; Briceño, Raúl A.; Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E.

doi:10.1103/PhysRevLett.123.042002

Title: Quark-Mass Dependence of Elastic $πK$ Scattering from QCD

Journal Article · 24 July 2019 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.123.042002 · OSTI ID:1545442

^[1]; Briceño, Raúl A. ^[2]; Dudek, Jozef J. ^[3]; Edwards, Robert G. ^[4]; Thomas, Christopher E. ^[5]

Trinity College, Dublin (Ireland)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Univ. of Cambridge (United Kingdom)

We present a determination of the isospin-½ elastic $πK$ scattering amplitudes in $$S$$ and $$P$$ partial waves using lattice quantum chromodynamics. The amplitudes, constrained for a large number of real-valued energy points, are obtained as a function of light-quark mass, corresponding to four pion masses between 200 and 400 MeV, at a single lattice spacing. Below the first inelastic threshold, the $$P$$-wave scattering amplitude is dominated by a single pole singularity that evolves from being a stable bound state at the highest quark mass into a narrow resonance that broadens as the pion and kaon masses are reduced. As in experiment, the $$S$$-wave amplitude does not exhibit an obviously resonant behavior, but instead shows a slow rise from threshold, which is not inconsistent with the presence of a $$κ/K_{0}^{*}$$(700)-like resonance at the considered quark masses. As has been found in analyses of experimental scattering data, simple analytic continuations into the complex energy plane of precisely determined lattice QCD amplitudes on the real energy axis are not sufficient to model-independently determine the existence and properties of this state. The spectra and amplitudes we present will serve as an input for increasingly elaborate amplitude analysis techniques that implement more of the analytic structure expected at complex energies.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); Royal Society–Science Foundation Ireland University; Science and Technology Facilities Council (STFC); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); National Science Foundation (NSF); State of Illinois

Contributing Organization:: Hadron Spectrum Collaboration

Grant/Contract Number:: UF160419; AC05-06OR23177; SC0019229; SC0018416; AC05-00OR22725; AC02-05CH11231; ST/P000681/1; OCI-0725070; ACI-1238993

OSTI ID:: 1545442

Alternate ID(s):: OSTI ID: 1608409

Report Number(s):: JLAB-THY-19-2911; DOE/OR/23177-4665; arXiv:1904.03188; PRLTAO; TRN: US2105060

Journal Information:: Physical Review Letters, Vol. 123, Issue 4; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 29 works

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Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states Briceño, Raúl A.; Hansen, Maxwell T.; Jackura, Andrew W. arXiv https://doi.org/10.48550/arxiv.1909.10357	text	January 2019