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Title: Resonances in coupled πK, ηK scattering from lattice QCD

Journal Article · · Physical Review. D, Particles, Fields, Gravitation and Cosmology
 [1];  [2];  [3];  [4]
  1. Old Dominion Univ., Norfolk, VA (United States)
  2. Old Dominion Univ., Norfolk, VA (United States); Jefferson Lab, Newport News, VA (United States)
  3. Jefferson Lab, Newport News, VA (United States)
  4. Univ. of Cambridge (United Kingdom)

Coupled-channel πK and ηK scattering amplitudes are determined by studying the finite-volume energy spectra obtained from dynamical lattice QCD calculations. Using a large basis of interpolating operators, including both those resembling a qq-bar construction and those resembling a pair of mesons with relative momentum, a reliable excited-state spectrum can be obtained. Working at mπ = 391 MeV, we find a gradual increase in the JP = 0+ πK phase-shift which may be identified with a broad scalar resonance that couples strongly to πK and weakly to ηK. The low-energy behavior of this amplitude suggests a virtual bound-state that may be related to the κ resonance. A bound state with JP = 1- is found very close to the πK threshold energy, whose coupling to the πK channel is compatible with that of the experimental K*(892). Evidence is found for a narrow resonance in JP = 2+. Isospin–3/2 πK scattering is also studied and non-resonant phase-shifts spanning the whole elastic scattering region are obtained.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Contributing Organization:
Hadron Spectrum Collaboration
Grant/Contract Number:
AC05-06OR23177; SC0006765
OSTI ID:
1172178
Alternate ID(s):
OSTI ID: 1181044
Report Number(s):
JLAB-THY-14-1892; DOE/OR/23177-3087; arXiv:1411.2004; PRVDAQ; ArticleNumber: 054008; DE-SC0006765; TRN: US1600839
Journal Information:
Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 91, Issue 5; ISSN 1550-7998
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 110 works
Citation information provided by
Web of Science

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Cited By (18)

Recent results on the meson and baryon spectrum from lattice QCD journal January 2017
A coupled-channel lattice study of the resonance-like structure Z c (3900) journal September 2019
Chiral study of the a 0 ( 980 ) resonance and π η scattering phase shifts in light of a recent lattice simulation journal March 2017
One spatial dimensional finite volume three-body interaction for a short-range potential journal March 2017
Determination of baryon-baryon elastic scattering phase shift from finite volume spectra in elongated boxes journal January 2018
Multiple-particle interaction in ( 1 + 1 )-dimensional lattice model journal January 2019
Opportunities for Lattice QCD in quark and lepton flavor physics journal November 2019
Hadrons and nuclei journal November 2019
Two- and three-body interactions in $$\varphi ^4$$ φ 4 theory from lattice simulations journal October 2018
Phenomenology of relativistic $$\mathbf {3}\rightarrow \mathbf {3}$$ 3 → 3 reaction amplitudes within the isobar approximation journal January 2019
On the determination of Ω − Ω scattering amplitudes from finite volume spectra journal December 2016
Isoscalar ππ Scattering and the σ Meson Resonance from QCD text January 2017
Recent results on the meson and baryon spectrum from lattice QCD text January 2017
Relating the finite-volume spectrum and the two-and-three-particle $S$ matrix for relativistic systems of identical scalar particles text January 2017
Scattering amplitudes from finite-volume spectral functions text January 2019
Opportunities for lattice QCD in quark and lepton flavor physics text January 2019
A coupled-channel lattice study on the resonance-like structure $Z_c(3900)$ text January 2019
Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states text January 2019

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