skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: An a 0 resonance in strongly coupled π η , K K ¯ scattering from lattice QCD

Abstract

Here, we present the first calculation of coupled-channel meson-meson scattering in the isospin $=1$, $G$-parity negative sector, with channels $$\pi \eta$$, $$K\overline{K}$$ and $$\pi \eta'$$, in a first-principles approach to QCD. From the discrete spectrum of eigenstates in three volumes extracted from lattice QCD correlation functions we determine the energy dependence of the $S$-matrix, and find that the $S$-wave features a prominent cusp-like structure in $$\pi \eta \to \pi \eta$$ close to $$K\overline{K}$$ threshold coupled with a rapid turn on of amplitudes leading to the $$K\overline{K}$$ final-state. This behavior is traced to an $$a_0(980)$$-like resonance, strongly coupled to both $$\pi \eta$$ and $$K\overline{K}$$, which is identified with a pole in the complex energy plane, appearing on only a single unphysical Riemann sheet. Consideration of $D$-wave scattering suggests a narrow tensor resonance at higher energy.

Authors:
 [1];  [2];  [3]
  1. Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Old Dominion Univ., Norfolk, VA (United States); Univ. of Cambridge (United Kingdom)
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) (SC-26)
Contributing Org.:
Hadron Spectrum Collaboration
OSTI Identifier:
1252703
Alternate Identifier(s):
OSTI ID: 1252591
Report Number(s):
JLAB-THY-16-2216; DOE/OR/23177-3660; arXiv:1602.05122; DAMTP-2016-18
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1601711
Grant/Contract Number:  
AC05-06OR23177; SC0006765; RG74916
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 93; Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Dudek, Jozef J., Edwards, Robert G., and Wilson, David J. An a0 resonance in strongly coupled πη, KK¯ scattering from lattice QCD. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.93.094506.
Dudek, Jozef J., Edwards, Robert G., & Wilson, David J. An a0 resonance in strongly coupled πη, KK¯ scattering from lattice QCD. United States. doi:10.1103/PhysRevD.93.094506.
Dudek, Jozef J., Edwards, Robert G., and Wilson, David J. Wed . "An a0 resonance in strongly coupled πη, KK¯ scattering from lattice QCD". United States. doi:10.1103/PhysRevD.93.094506. https://www.osti.gov/servlets/purl/1252703.
@article{osti_1252703,
title = {An a0 resonance in strongly coupled πη, KK¯ scattering from lattice QCD},
author = {Dudek, Jozef J. and Edwards, Robert G. and Wilson, David J.},
abstractNote = {Here, we present the first calculation of coupled-channel meson-meson scattering in the isospin $=1$, $G$-parity negative sector, with channels $\pi \eta$, $K\overline{K}$ and $\pi \eta'$, in a first-principles approach to QCD. From the discrete spectrum of eigenstates in three volumes extracted from lattice QCD correlation functions we determine the energy dependence of the $S$-matrix, and find that the $S$-wave features a prominent cusp-like structure in $\pi \eta \to \pi \eta$ close to $K\overline{K}$ threshold coupled with a rapid turn on of amplitudes leading to the $K\overline{K}$ final-state. This behavior is traced to an $a_0(980)$-like resonance, strongly coupled to both $\pi \eta$ and $K\overline{K}$, which is identified with a pole in the complex energy plane, appearing on only a single unphysical Riemann sheet. Consideration of $D$-wave scattering suggests a narrow tensor resonance at higher energy.},
doi = {10.1103/PhysRevD.93.094506},
journal = {Physical Review D},
number = 9,
volume = 93,
place = {United States},
year = {2016},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 33 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Experimental results on the and (Kp) systems as observed in the annihilations at rest
journal, November 1967


Further study of the I = 1K structure near threshold
journal, September 1967


Properties of the a 0 ( 980 ) meson
journal, November 1998


A study of the centrally produced ηπ0and ηπ−systems in pp interactions at 450 GeV/c
journal, September 2000


Study of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>a</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>980</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> meson via the radiative decay <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>ϕ</mml:mi><mml:mo>→</mml:mo><mml:mi>η</mml:mi><mml:msup><mml:mi>π</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mi>γ</mml:mi></mml:math> with the KLOE detector
journal, October 2009


High-statistics study of η π 0 production in two-photon collisions
journal, August 2009


Observation of J / ψ p p ¯ a 0 ( 980 ) at BESIII
journal, September 2014


Publisher’s Note: Observation of J / ψ p p ¯ a 0 ( 980 ) at BESIII [Phys. Rev. D 90 , 052009 (2014)]
journal, February 2015


Studies of the resonance structure in D 0 K S 0 K ± π decays
journal, March 2016


On the nature of 0+ mesons
journal, July 1976


Coupled-channel analysis of the πη and KK̄ systems near KK̄ threshold
journal, July 1976


Structure of the scalar mesons f 0 (980) and a 0 (980)
journal, September 1995


Partial wave analysis inK-matrix formalism
journal, January 1995


Chiral unitary approach to meson-meson and meson-baryon interactions and nuclear applications
journal, January 2000


New analysis of the KLOE data on the φ η π 0 γ decay
journal, July 2003


Flatté-like distributions and the a0(980)/f0(980) mesons
journal, January 2005


Reanalysis of data on a 0 ( 1450 ) and a 0 ( 980 )
journal, October 2008


Form factors of the isovector scalar current and the $$\eta \pi $$ η π scattering phase shifts
journal, October 2015


Review of Particle Physics
journal, August 2014


Coupled channel analysis of p annihilation into π0π0π0, π0ηη and π0π0η
journal, July 1995


K K ¯ molecules
journal, April 1990


Understanding the scalar meson $$q\bar q$$ nonet
journal, December 1995

  • Törnqvist, Nils A.
  • Zeitschrift für Physik C Particles and Fields, Vol. 68, Issue 4
  • DOI: 10.1007/BF01565264

Dynamical generation of scalar mesons
journal, June 2002


a 0 ( 980 ) revisited
journal, January 2016


Two-particle states on a torus and their relation to the scattering matrix
journal, May 1991


Signatures of unstable particles in finite volume
journal, October 1991


Resonance scattering phase shifts on a non-rest-frame lattice
journal, September 1995


Two particle states in an asymmetric box and the elastic scattering phases
journal, July 2004


Two particle states and the S -matrix elements in multi-channel scattering
journal, July 2005


Finite volume corrections to the two-particle decay of states with nonzero momentum
journal, December 2005


Finite-volume effects for two-hadron states in moving frames
journal, October 2005


Resonance properties from the finite-volume energy spectrum
journal, August 2008


Scalar mesons in a finite volume
journal, January 2011

  • Bernard, V.; Lage, M.; Meißner, U. -G.
  • Journal of High Energy Physics, Vol. 2011, Issue 1
  • DOI: 10.1007/JHEP01(2011)019

Scattering phase shifts for two particles of different mass and nonzero total momentum in lattice QCD
journal, June 2012


Scattering phases for meson and baryon resonances on general moving-frame lattices
journal, November 2012


Coupled-channel scattering on a torus
journal, July 2013


Multiple-channel generalization of Lellouch-Lüscher formula
journal, July 2012


Moving multichannel systems in a finite volume with application to proton-proton fusion
journal, November 2013


Two-particle multichannel systems in a finite volume with arbitrary spin
journal, April 2014


Lattice QCD calculation of the ρ meson decay width
journal, November 2007


Resonance parameters of the ρ meson from lattice QCD
journal, May 2011


Coupled channel analysis of the ρ meson decay in lattice QCD
journal, September 2011


Erratum: Coupled channel analysis of the ρ meson decay in lattice QCD [Phys. Rev. D 84, 054503 (2011)]
journal, March 2014


ρ meson decay in 2 + 1 flavor lattice QCD
journal, November 2011


Resonance parameters of the rho-meson from asymmetrical lattices
journal, January 2013


Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD
journal, February 2013


Erratum: Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD [Phys. Rev. D 87 , 034505 (2013)]
journal, November 2014


Coupled π π , K K ¯ scattering in P -wave and the ρ resonance from lattice QCD
journal, November 2015


ρ and K * resonances on the lattice at nearly physical quark masses and N f = 2
journal, March 2016


Resonances in Coupled π K η K Scattering from Quantum Chromodynamics
journal, October 2014


Resonances in coupled π K , η K scattering from lattice QCD
journal, March 2015


Structure of the Many‐Channel S Matrix
journal, March 1961

  • Newton, Roger G.
  • Journal of Mathematical Physics, Vol. 2, Issue 2
  • DOI: 10.1063/1.1703698

Analytical properties of two-channel S-matrix
journal, January 1965


First results from 2 + 1 dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass
journal, February 2009


Tuning for three flavors of anisotropic clover fermions with stout-link smearing
journal, September 2008


Highly Excited and Exotic Meson Spectrum from Dynamical Lattice QCD
journal, December 2009


Toward the excited meson spectrum of dynamical QCD
journal, August 2010


Isoscalar meson spectroscopy from lattice QCD
journal, June 2011


Excited state baryon spectroscopy from lattice QCD
journal, October 2011


Flavor structure of the excited baryon spectra from lattice QCD
journal, March 2013


Hybrid baryons in QCD
journal, March 2012


Excited and exotic charmonium spectroscopy from lattice QCD
journal, July 2012

  • Liu, Liuming; Moir, Graham; Peardon, Michael
  • Journal of High Energy Physics, Vol. 2012, Issue 7
  • DOI: 10.1007/JHEP07(2012)126

Excited spectroscopy of charmed mesons from lattice QCD
journal, May 2013

  • Moir, Graham; Peardon, Michael; Ryan, Sinéad M.
  • Journal of High Energy Physics, Vol. 2013, Issue 5
  • DOI: 10.1007/JHEP05(2013)021

Toward the excited isoscalar meson spectrum from lattice QCD
journal, November 2013


Spectroscopy of triply charmed baryons from lattice QCD
journal, October 2014


Spectroscopy of doubly charmed baryons from lattice QCD
journal, May 2015


Phase shift of isospin-2 π π scattering from lattice QCD
journal, April 2011


S - and D -wave phase shifts in isospin-2 π π scattering from lattice QCD
journal, August 2012


Adjoint sources in lattice gauge theory
journal, September 1985


How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation
journal, July 1990


Charmonium excited state spectrum in lattice QCD
journal, February 2008


On the generalized eigenvalue method for energies and matrix elements in lattice field theory
journal, April 2009

  • collaboration, Alpha; Blossier, Benoit; Morte, Michele Della
  • Journal of High Energy Physics, Vol. 2009, Issue 04
  • DOI: 10.1088/1126-6708/2009/04/094

Novel quark-field creation operator construction for hadronic physics in lattice QCD
journal, September 2009


Helicity operators for mesons in flight on the lattice
journal, January 2012


Role of P -wave inelasticity in J / ψ π + π π 0
journal, November 2010


Theory of the Low-Energy Pion-Pion Interaction
journal, July 1960


The lightest hybrid meson supermultiplet in QCD
journal, October 2011


Relativistic, model-independent, three-particle quantization condition
journal, December 2014


Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
journal, December 2015


New data on the K K ¯ threshold region and the nature of the f 0 ( S * )
journal, August 1993


Pole counting and resonance classification
journal, July 1992


n -boson energies at finite volume and three-boson interactions
journal, October 2007


Three particles in a finite volume
journal, May 2012


Three-particle scattering amplitudes from a finite volume formalism
journal, May 2013


Spectrum of Three-Body Bound States in a Finite Volume
journal, March 2015


Perturbative results for two- and three-particle threshold energies in finite volume
journal, January 2016


Threshold parameters of π K scattering in QCD
journal, May 1991


π η scattering in QCD
journal, December 1991

  • Bernard, Véronique; Kaiser, Norbert; Meissner, Ulf -G.
  • Physical Review D, Vol. 44, Issue 11
  • DOI: 10.1103/PhysRevD.44.3698

Resonant π + γ π + π 0 Amplitude from Quantum Chromodynamics
journal, December 2015


Solving lattice QCD systems of equations using mixed precision solvers on GPUs
journal, September 2010


    Works referencing / citing this record:

    Tetraquark mixing framework for isoscalar resonances in light mesons
    journal, May 2018