Decays of an exotic 1−+ hybrid meson resonance in QCD

Woss, Antoni J.; Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E.; Wilson, David J.

doi:10.1103/physrevd.103.054502

Title: Decays of an exotic 1−+ hybrid meson resonance in QCD

Abstract

We present the first determination of the hadronic decays of the lightest exotic $$J^{PC}=1^{-+}$$ resonance in lattice QCD. Working with SU(3) flavor symmetry, where the up, down and strange quark masses approximately match the physical strange-quark mass giving $$m_\pi \sim 700$$ MeV, we compute finite-volume spectra on six lattice volumes which constrain a scattering system featuring eight coupled channels. Analytically continuing the scattering amplitudes into the complex energy plane, we find a pole singularity corresponding to a narrow resonance which shows relatively weak coupling to the open pseudoscalar–pseudoscalar, vector–pseudoscalar and vector–vector decay channels, but large couplings to at least one kinematically-closed axial-vector–pseudoscalar channel. Attempting a simple extrapolation of the couplings to physical light-quark mass suggests a broad $$\pi_1$$ resonance decaying dominantly through the $$b_1 \pi$$ mode with much smaller decays into $$f_1 \pi$$, $$\rho \pi$$, $$\eta' \pi$$ and $$\eta \pi$$. A large total width is potentially in agreement with the experimental $$\pi_1(1564)$$ candidate state, observed in $$\eta \pi$$, $$\eta' \pi$$, which we suggest may be heavily suppressed decay channels.

Authors:

; Dudek, Jozef J.; Edwards, Robert G.;

;

Publication Date:: Wed Mar 10 00:00:00 EST 2021

Research Org.:: 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)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Nuclear Physics (NP); Science and Technology Facilities Council (STFC); German Research Foundation (DFG); Engineering and Physical Sciences Resource Council (EPSRC); National Science Foundation (NSF)

OSTI Identifier:: 1770244

Alternate Identifier(s):: OSTI ID: 1770807

Report Number(s):: JLAB-THY-20-3249; DOE/OR/23177-5153; arXiv:2009.10034
Journal ID: ISSN 2470-0010; 054502

Grant/Contract Number:: SC0018416; 17-SC-20-SC; AC05-00OR22725; AC02-05CH11231; AC05-06OR23177; EP/P020259/1; ST/R00689X/1; ST/P002307/1; ST/R002452/1; ST/P000681/1

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 103 Journal Issue: 5; 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; hadron-hadron interactions; hadronic decays; lattice QCD; strong interaction; exotic mesons; hybrid mesons; light mesons

Citation Formats


                    Woss, Antoni J., Dudek, Jozef J., Edwards, Robert G., Thomas, Christopher E., and Wilson, David J. Decays of an exotic 1−+ hybrid meson resonance in QCD.  United States: N. p., 2021. 
Web.  doi:10.1103/physrevd.103.054502.

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                    Woss, Antoni J., Dudek, Jozef J., Edwards, Robert G., Thomas, Christopher E., & Wilson, David J. Decays of an exotic 1−+ hybrid meson resonance in QCD.  United States.  https://doi.org/10.1103/physrevd.103.054502

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                    Woss, Antoni J., Dudek, Jozef J., Edwards, Robert G., Thomas, Christopher E., and Wilson, David J. Wed .  
"Decays of an exotic 1−+ hybrid meson resonance in QCD".  United States.  https://doi.org/10.1103/physrevd.103.054502.

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@article{osti_1770244,

  title        = {Decays of an exotic 1−+ hybrid meson resonance in QCD},

  author       = {Woss, Antoni J. and Dudek, Jozef J. and Edwards, Robert G. and Thomas, Christopher E. and Wilson, David J.},

  abstractNote = {We present the first determination of the hadronic decays of the lightest exotic $J^{PC}=1^{-+}$ resonance in lattice QCD. Working with SU(3) flavor symmetry, where the up, down and strange quark masses approximately match the physical strange-quark mass giving $m_\pi \sim 700$ MeV, we compute finite-volume spectra on six lattice volumes which constrain a scattering system featuring eight coupled channels. Analytically continuing the scattering amplitudes into the complex energy plane, we find a pole singularity corresponding to a narrow resonance which shows relatively weak coupling to the open pseudoscalar–pseudoscalar, vector–pseudoscalar and vector–vector decay channels, but large couplings to at least one kinematically-closed axial-vector–pseudoscalar channel. Attempting a simple extrapolation of the couplings to physical light-quark mass suggests a broad $\pi_1$ resonance decaying dominantly through the $b_1 \pi$ mode with much smaller decays into $f_1 \pi$, $\rho \pi$, $\eta' \pi$ and $\eta \pi$. A large total width is potentially in agreement with the experimental $\pi_1(1564)$ candidate state, observed in $\eta \pi$, $\eta' \pi$, which we suggest may be heavily suppressed decay channels.},

  doi          = {10.1103/physrevd.103.054502},

  journal      = {Physical Review. D.},

  number       = 5,

  volume       = 103,

  place        = {United States},

  year         = {Wed Mar 10 00:00:00 EST 2021},

  month        = {Wed Mar 10 00:00:00 EST 2021}

}

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Signatures of unstable particles in finite volume
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Lüscher, Martin
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Isoscalar $π π, K \bar{K}, η η$ scattering and the $σ, f_{0}, f_{2}$ mesons from QCD
journal, March 2018

Briceño, Raul A.; Dudek, Jozef J.; Edwards, Robert G.
Physical Review D, Vol. 97, Issue 5
DOI: 10.1103/PhysRevD.97.054513

An $a_{0}$ resonance in strongly coupled $π η$ , $K \bar{K}$ scattering from lattice QCD
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Dudek, Jozef J.; Edwards, Robert G.; Wilson, David J.
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Selection rule for 1−+ hybrid decay into ηπ from QCD
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Iddir, F.; Le Yaouanc, A.; Oliver, L.
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Quark-Mass Dependence of Elastic $π K$ Scattering from QCD
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Wilson, David J.; Briceño, Raúl A.; Dudek, Jozef J.
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Similar Records

Title: Decays of an exotic 1−+ hybrid meson resonance in QCD

Abstract

Citation Formats

Hadron–Hadron interactions from $$N_\mathrm{{f}}=2+1+1$$Nf=2+1+1 lattice QCD: the $$\rho \,$$ρ-resonance: Extended Twisted Mass Collaboration journal, February 2020

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states journal, June 1986

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

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

Coulomb gauge approach to qq̄g hybrid mesons journal, May 2007

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

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

Three particles on the lattice conference, August 2020

Decay properties of hybrid mesons with a massive constituent gluon and search for their candidates journal, January 1993

Qualitative features of the glueball spectrum journal, May 1986

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

Selection rules for production and η-π decays of odd-CP exotics journal, March 1989

Implications of the Glueball- $q \overline q$ filter on the $1^{++}$ nonet journal, November 1997

Composition of the pseudoscalar η and η′ mesons journal, October 2007

Hybrid-meson properties in lattice QCD and flux-tube models journal, August 2006

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

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

b 1 resonance in coupled π ω , π ϕ scattering from lattice QCD journal, September 2019

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

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

Erratum: The Octet Model and Its Clebsch-Gordan Coefficients journal, April 1965

(Field) symmetrization selection rules journal, August 2001

Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD journal, July 2018

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

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD journal, October 2016

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

Review of Particle Physics journal, August 2020

I = 1 and I = 2 π – π scattering phase shifts from N f = 2 + 1 lattice QCD journal, September 2016

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

The production and decay of hybrid mesons by flux-tube breaking journal, June 1995

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

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

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

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

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

Scattering processes and resonances from lattice QCD journal, April 2018

Lattice QCD and Three-Particle Decays of Resonances journal, October 2019

Efficient solution of the multichannel Lüscher determinant condition through eigenvalue decomposition journal, June 2020

Status of exotic-quantum-number mesons journal, August 2010

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

Rho resonance parameters from lattice QCD journal, August 2016

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

Hybrid baryons in QCD journal, March 2012

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

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

Adjoint sources in lattice gauge theory journal, September 1985

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

Excited meson radiative transitions from lattice QCD using variationally optimized operators journal, June 2015

Model of mesons with constituent gluons journal, February 1978

Isoscalar meson spectroscopy from lattice QCD journal, June 2011

Studying the ρ resonance parameters with staggered fermions journal, August 2016

Hybrid meson decay phenomenology journal, January 1999

Spin formalisms null, January 1971

Hybrids: Mixed states of quarks and gluons journal, August 1983

The Chroma Software System for Lattice QCD journal, March 2005

Heavy quarkonium hybrids from Coulomb gauge QCD journal, September 2008

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

Rummukainen-Gottlieb formula on a two-particle system with different masses journal, January 2012

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

Coupled-channel scattering on a torus journal, July 2013

Gluonic excitations of mesons: Why they are missing and where to find them conference, January 1985

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

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

Interpretation of scalar and axial mesons in LHCb from a historical perspective journal, June 2015

Decay width of light quark hybrid meson from the lattice journal, April 2006

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

P -wave π π scattering and the ρ resonance from lattice QCD journal, August 2017

The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD journal, February 2019

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

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

Determination of the Pole Position of the Lightest Hybrid Meson Candidate journal, January 2019

On the nature of 0+ mesons journal, July 1976

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

Charmonium excited state spectrum in lattice QCD journal, February 2008

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

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

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

Hadron–Hadron interactions from $$N_\mathrm{{f}}=2+1+1$$Nf=2+1+1 lattice QCD: the $$\rho \,$$ρ-resonance: Extended Twisted Mass Collaboration
journal, February 2020

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states
journal, June 1986

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

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

Coulomb gauge approach to qq̄g hybrid mesons
journal, May 2007

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

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

Three particles on the lattice
conference, August 2020

Decay properties of hybrid mesons with a massive constituent gluon and search for their candidates
journal, January 1993

Qualitative features of the glueball spectrum
journal, May 1986

$ρ$ and $K^{*}$ resonances on the lattice at nearly physical quark masses and $N_{f} = 2$
journal, March 2016

Selection rules for production and η-π decays of odd-CP exotics
journal, March 1989

Implications of the Glueball- $q \overline q$ filter on the $1^{++}$ nonet
journal, November 1997

Composition of the pseudoscalar η and η′ mesons
journal, October 2007

Hybrid-meson properties in lattice QCD and flux-tube models
journal, August 2006

Coupled $π π$ , $K \bar{K}$ scattering in $P$ -wave and the $ρ$ resonance from lattice QCD
journal, November 2015

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

$b_{1}$ resonance in coupled $π ω$ , $π ϕ$ scattering from lattice QCD
journal, September 2019

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

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

Erratum: The Octet Model and Its Clebsch-Gordan Coefficients
journal, April 1965

(Field) symmetrization selection rules
journal, August 2001

Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD
journal, July 2018

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

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD
journal, October 2016

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

Review of Particle Physics
journal, August 2020

I = 1 and I = 2 π – π scattering phase shifts from N f = 2 + 1 lattice QCD
journal, September 2016

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

The production and decay of hybrid mesons by flux-tube breaking
journal, June 1995

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

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

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

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

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

Scattering processes and resonances from lattice QCD
journal, April 2018

Lattice QCD and Three-Particle Decays of Resonances
journal, October 2019

Efficient solution of the multichannel Lüscher determinant condition through eigenvalue decomposition
journal, June 2020

Status of exotic-quantum-number mesons
journal, August 2010

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

Rho resonance parameters from lattice QCD
journal, August 2016

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

Hybrid baryons in QCD
journal, March 2012

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

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

Adjoint sources in lattice gauge theory
journal, September 1985

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

Excited meson radiative transitions from lattice QCD using variationally optimized operators
journal, June 2015

Model of mesons with constituent gluons
journal, February 1978

Isoscalar meson spectroscopy from lattice QCD
journal, June 2011

Studying the $ρ$ resonance parameters with staggered fermions
journal, August 2016

Hybrid meson decay phenomenology
journal, January 1999

Spin formalisms
null, January 1971

Hybrids: Mixed states of quarks and gluons
journal, August 1983

The Chroma Software System for Lattice QCD
journal, March 2005

Heavy quarkonium hybrids from Coulomb gauge QCD
journal, September 2008

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

Rummukainen-Gottlieb formula on a two-particle system with different masses
journal, January 2012

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

Coupled-channel scattering on a torus
journal, July 2013

Gluonic excitations of mesons: Why they are missing and where to find them
conference, January 1985

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

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

Interpretation of scalar and axial mesons in LHCb from a historical perspective
journal, June 2015

Decay width of light quark hybrid meson from the lattice
journal, April 2006

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

$P$ -wave $π π$ scattering and the $ρ$ resonance from lattice QCD
journal, August 2017

The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD
journal, February 2019

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

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

Determination of the Pole Position of the Lightest Hybrid Meson Candidate
journal, January 2019

On the nature of 0+ mesons
journal, July 1976

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

Charmonium excited state spectrum in lattice QCD
journal, February 2008

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

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

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

Hybrid mesons
journal, May 2015

Odd and even partial waves of $η π^{-}$ and $η^{'} π^{-}$ in $π^{-} p \to η^{(')} π^{-} p$ at $191 GeV / c$
journal, January 2015

QG hybrid mesons in the MIT bag model
journal, September 1983