Lattice QCD investigation of a doubly-bottom b ¯ b ¯ u d tetraquark with quantum numbers I ( J P ) = 0 ( 1 + )

Leskovec, Luka; Meinel, Stefan; Pflaumer, Martin; Wagner, Marc

doi:10.1103/PhysRevD.100.014503

Title: Lattice QCD investigation of a doubly-bottom $\bar{b} \bar{b} u d$ tetraquark with quantum numbers $I (J^{P}) = 0 (1^{+})$

Abstract

We use lattice QCD to investigate the spectrum of the $$\bar{b} \bar{b} u d$$ four-quark system with quantum numbers $I(J^P) = 0(1^+)$. We use five different gauge-link ensembles with $2+1$ flavors of domain-wall fermions, including one at the physical pion mass, and treat the heavy $$\bar{b}$$ quark within the framework of lattice nonrelativistic QCD. Our work improves upon previous similar computations by considering in addition to local four-quark interpolators also nonlocal two-meson interpolators and by performing a L\"uscher analysis to extrapolate our results to infinite volume. We obtain a binding energy of $$(-128 \pm 24 \pm 10) \, \textrm{MeV}$$, corresponding to the mass $$(10476 \pm 24 \pm 10) \, \textrm{MeV}$$, which confirms the existence of a $$\bar{b} \bar{b} u d$$ tetraquark that is stable with respect to the strong and electromagnetic interactions.

Authors:: Leskovec, Luka; Meinel, Stefan; Pflaumer, Martin; Wagner, Marc

Publication Date:: Fri Jul 12 00:00:00 EDT 2019

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1542486

Alternate Identifier(s):: OSTI ID: 1542270

Report Number(s):: JLAB-THY-19-2912; DOE/OR/23177-4667; arXiv:1904.04197
Journal ID: ISSN 2470-0010; PRVDAQ; 014503

Grant/Contract Number:: AC05-06OR23177; SC0009913; AC02-05CH11231; WA3000/3-1; ACI-1548562

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 1; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Leskovec, Luka, Meinel, Stefan, Pflaumer, Martin, and Wagner, Marc. Lattice QCD investigation of a doubly-bottom b ¯ b ¯ u d tetraquark with quantum numbers I ( J P ) = 0 ( 1 + ).  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.014503.

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                    Leskovec, Luka, Meinel, Stefan, Pflaumer, Martin, & Wagner, Marc. Lattice QCD investigation of a doubly-bottom b ¯ b ¯ u d tetraquark with quantum numbers I ( J P ) = 0 ( 1 + ).  United States.  https://doi.org/10.1103/PhysRevD.100.014503

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                    Leskovec, Luka, Meinel, Stefan, Pflaumer, Martin, and Wagner, Marc. Fri .  
"Lattice QCD investigation of a doubly-bottom b ¯ b ¯ u d tetraquark with quantum numbers I ( J P ) = 0 ( 1 + )".  United States.  https://doi.org/10.1103/PhysRevD.100.014503.

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@article{osti_1542486,

  title        = {Lattice QCD investigation of a doubly-bottom b ¯ b ¯ u d tetraquark with quantum numbers I ( J P ) = 0 ( 1 + )},

  author       = {Leskovec, Luka and Meinel, Stefan and Pflaumer, Martin and Wagner, Marc},

  abstractNote = {We use lattice QCD to investigate the spectrum of the $\bar{b} \bar{b} u d$ four-quark system with quantum numbers $I(J^P) = 0(1^+)$. We use five different gauge-link ensembles with $2+1$ flavors of domain-wall fermions, including one at the physical pion mass, and treat the heavy $\bar{b}$ quark within the framework of lattice nonrelativistic QCD. Our work improves upon previous similar computations by considering in addition to local four-quark interpolators also nonlocal two-meson interpolators and by performing a L\"uscher analysis to extrapolate our results to infinite volume. We obtain a binding energy of $(-128 \pm 24 \pm 10) \, \textrm{MeV}$, corresponding to the mass $(10476 \pm 24 \pm 10) \, \textrm{MeV}$, which confirms the existence of a $\bar{b} \bar{b} u d$ tetraquark that is stable with respect to the strong and electromagnetic interactions.},

  doi          = {10.1103/PhysRevD.100.014503},

  journal      = {Physical Review D},

  number       = 1,

  volume       = 100,

  place        = {United States},

  year         = {Fri Jul 12 00:00:00 EDT 2019},

  month        = {Fri Jul 12 00:00:00 EDT 2019}

}

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Title: Lattice QCD investigation of a doubly-bottom b ¯ b ¯ u d tetraquark with quantum numbers I ( J P ) = 0 ( 1 + )

Abstract

Citation Formats

Exotic states in QCD journal, June 1993

Evidence for charm-bottom tetraquarks and the mass dependence of heavy-light tetraquark states from lattice QCD journal, March 2019

Prospects of discovering stable double-heavy tetraquarks at a Tera- Z factory journal, July 2018

Exotica journal, March 2005

Lattice QCD signal for a bottom-bottom tetraquark journal, June 2013

Heavy-quark bound states in lattice QCD journal, January 1991

Axial symmetries in lattice QCD with Kaplan fermions journal, April 1995

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

Relating the finite-volume spectrum and the two-and-three-particle S matrix for relativistic systems of identical scalar particles journal, April 2017

Lattice QCD input for nuclear structure and reactions journal, January 2018

Few-body quark dynamics for doubly heavy baryons and tetraquarks journal, March 2018

Chiral fermions from lattice boundaries journal, September 1993

Dynamical study of Q Q – u ¯ d ¯ mesons journal, September 2006

New class of variance-reduction techniques using lattice symmetries journal, November 2013

D s 0 * ( 2317 ) Meson and D -Meson-Kaon Scattering from Lattice QCD journal, November 2013

Bottomonium spectrum at order v 6 from domain-wall lattice QCD: Precise results for hyperfine splittings journal, December 2010

Improved nonrelativistic QCD for heavy-quark physics journal, November 1992

Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks journal, April 2017

Erratum: Radiative Improvement of the Lattice Nonrelativistic QCD Action Using the Background Field Method and Application to the Hyperfine Splitting of Quarkonium States [Phys. Rev. Lett. 107 , 112002 (2011)] journal, July 2015

Spectator effects in the heavy quark effective theory journal, July 1997

QQq̄q̄ Four-Quark Bound States in Chiral SU(3) Quark Model journal, August 2008

Masses of the doubly heavy tetraquarks in a constituent quark model journal, March 2019

How to search for doubly charmed baryons and tetraquarks journal, April 1996

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

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

Including heavy spin effects in the prediction of a b ¯ b ¯ u d tetraquark with lattice QCD potentials journal, February 2017

A method for simulating chiral fermions on the lattice journal, August 1992

u d b ¯ b ¯ tetraquark resonances with lattice QCD potentials and the Born-Oppenheimer approximation journal, September 2017

Investigating efficient methods for computing four-quark correlation functions journal, November 2017

Mirage in temporal correlation functions for baryon-baryon interactions in lattice QCD journal, October 2016

B B interactions with static bottom quarks from lattice QCD journal, February 2016

Are two nucleons bound in lattice QCD for heavy quark masses? Consistency check with Lüscher’s finite volume formula journal, August 2017

Stable multiquark states with heavy quarks in a diquark model journal, September 2009

Charmed bottom baryon spectroscopy from lattice QCD journal, November 2014

Review of Particle Physics journal, August 2018

Discovery of the Doubly Charmed Ξ c c Baryon Implies a Stable b b u ¯ d ¯ Tetraquark journal, November 2017

Deuteron and exotic two-body bound states from lattice QCD journal, March 2012

Comparison of different source calculations in two-nucleon channel at large quark mass journal, January 2018

Heavy-Quark Symmetry Implies Stable Heavy Tetraquark Mesons Q i Q j q ¯ k q ¯ l journal, November 2017

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

The Tcc = DD* Molecular State journal, December 2004

Radiative Improvement of the Lattice Nonrelativistic QCD Action Using the Background Field Method and Application to the Hyperfine Splitting of Quarkonium States journal, September 2011

Tetraquarks in a chiral constituent-quark model journal, March 2004

Exotic Hadrons: Review and Perspectives journal, October 2016

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

Spectrum of baryons with two heavy quarks journal, September 1990

Heavy-quark QCD exotica journal, March 2017

A schematic model of baryons and mesons journal, February 1964

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

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

B ¯ ( * ) B ¯ ( * ) interactions in chiral effective field theory journal, February 2019

Tetraquark operators in lattice QCD and exotic flavour states in the charm sector journal, November 2017

Study of doubly heavy tetraquarks in lattice QCD journal, February 2019

Stability of dimesons journal, February 1988

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

Continuum limit physics from 2 + 1 flavor domain wall QCD journal, April 2011

Nuclear physics from lattice QCD journal, January 2011

D s mesons with D K and D * K scattering near threshold journal, August 2014

Analysis of the Axialvector Doubly Heavy Tetraquark States with QCD Sum Rules journal, January 2018

Nonstandard heavy mesons and baryons: Experimental evidence journal, February 2018

Covariant approximation averaging journal, June 2015

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

Angular momentum on a lattice journal, July 1982

Implications of heavy quark-diquark symmetry for excited doubly heavy baryons and tetraquarks journal, November 2017

Renormalization group improved action for SU(3) lattice gauge theory and the string tension journal, August 1984

Signatures of S -wave bound-state formation in finite volume journal, December 2006

A New Hadron Spectroscopy conference, September 2015

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

Tadpole renormalization and relativistic corrections in lattice NRQCD journal, June 1998

Scattering processes and resonances from lattice QCD journal, April 2018

Discovery potential of stable and near-threshold doubly heavy tetraquarks at the LHC journal, October 2018

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

Tetraquarks with heavy flavors journal, June 1998

Evidence for the existence of u d b ¯ b ¯ and the nonexistence of s s b ¯ b ¯ and c c b ¯ b ¯ tetraquarks from lattice QCD journal, July 2015

The Möbius domain wall fermion algorithm journal, November 2017

Observation of Two Charged Bottomoniumlike Resonances in Υ ( 5 S ) Decays journal, March 2012

Effective field theory Lagrangians for baryons with two and three heavy quarks journal, August 2005

Title: Lattice QCD investigation of a doubly-bottom $\bar{b} \bar{b} u d$ tetraquark with quantum numbers $I (J^{P}) = 0 (1^{+})$

Exotic states in QCD
journal, June 1993

Evidence for charm-bottom tetraquarks and the mass dependence of heavy-light tetraquark states from lattice QCD
journal, March 2019

Prospects of discovering stable double-heavy tetraquarks at a Tera- Z factory
journal, July 2018

Exotica
journal, March 2005

Lattice QCD signal for a bottom-bottom tetraquark
journal, June 2013

Heavy-quark bound states in lattice QCD
journal, January 1991

Axial symmetries in lattice QCD with Kaplan fermions
journal, April 1995

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

Relating the finite-volume spectrum and the two-and-three-particle $S$ matrix for relativistic systems of identical scalar particles
journal, April 2017

Lattice QCD input for nuclear structure and reactions
journal, January 2018

Few-body quark dynamics for doubly heavy baryons and tetraquarks
journal, March 2018

Chiral fermions from lattice boundaries
journal, September 1993

Dynamical study of $Q Q - \bar{u} \bar{d}$ mesons
journal, September 2006

New class of variance-reduction techniques using lattice symmetries
journal, November 2013

$D_{s 0}^{*} (2317)$ Meson and $D$ -Meson-Kaon Scattering from Lattice QCD
journal, November 2013

Bottomonium spectrum at order $v^{6}$ from domain-wall lattice QCD: Precise results for hyperfine splittings
journal, December 2010

Improved nonrelativistic QCD for heavy-quark physics
journal, November 1992

Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks
journal, April 2017

Erratum: Radiative Improvement of the Lattice Nonrelativistic QCD Action Using the Background Field Method and Application to the Hyperfine Splitting of Quarkonium States [Phys. Rev. Lett. 107 , 112002 (2011)]
journal, July 2015

Spectator effects in the heavy quark effective theory
journal, July 1997

QQq̄q̄ Four-Quark Bound States in Chiral SU(3) Quark Model
journal, August 2008

Masses of the doubly heavy tetraquarks in a constituent quark model
journal, March 2019

How to search for doubly charmed baryons and tetraquarks
journal, April 1996

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

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

Including heavy spin effects in the prediction of a $\bar{b} \bar{b} u d$ tetraquark with lattice QCD potentials
journal, February 2017

A method for simulating chiral fermions on the lattice
journal, August 1992

$u d \bar{b} \bar{b}$ tetraquark resonances with lattice QCD potentials and the Born-Oppenheimer approximation
journal, September 2017

Investigating efficient methods for computing four-quark correlation functions
journal, November 2017

Mirage in temporal correlation functions for baryon-baryon interactions in lattice QCD
journal, October 2016

$B B$ interactions with static bottom quarks from lattice QCD
journal, February 2016

Are two nucleons bound in lattice QCD for heavy quark masses? Consistency check with Lüscher’s finite volume formula
journal, August 2017

Stable multiquark states with heavy quarks in a diquark model
journal, September 2009

Charmed bottom baryon spectroscopy from lattice QCD
journal, November 2014

Review of Particle Physics
journal, August 2018

Discovery of the Doubly Charmed $Ξ_{c c}$ Baryon Implies a Stable $b b \bar{u} \bar{d}$ Tetraquark
journal, November 2017

Deuteron and exotic two-body bound states from lattice QCD
journal, March 2012

Comparison of different source calculations in two-nucleon channel at large quark mass
journal, January 2018

Heavy-Quark Symmetry Implies Stable Heavy Tetraquark Mesons $Q_{i} Q_{j} {\bar{q}}_{k} {\bar{q}}_{l}$
journal, November 2017

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

The Tcc = DD* Molecular State
journal, December 2004

Radiative Improvement of the Lattice Nonrelativistic QCD Action Using the Background Field Method and Application to the Hyperfine Splitting of Quarkonium States
journal, September 2011

Tetraquarks in a chiral constituent-quark model
journal, March 2004

Exotic Hadrons: Review and Perspectives
journal, October 2016

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

Spectrum of baryons with two heavy quarks
journal, September 1990

Heavy-quark QCD exotica
journal, March 2017

A schematic model of baryons and mesons
journal, February 1964

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

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

${\bar{B}}^{()} {\bar{B}}^{()}$ interactions in chiral effective field theory
journal, February 2019

Tetraquark operators in lattice QCD and exotic flavour states in the charm sector
journal, November 2017

Study of doubly heavy tetraquarks in lattice QCD
journal, February 2019

Stability of dimesons
journal, February 1988

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

Continuum limit physics from $2 + 1$ flavor domain wall QCD
journal, April 2011

Nuclear physics from lattice QCD
journal, January 2011

$D_{s}$ mesons with $D K$ and $D * K$ scattering near threshold
journal, August 2014

Analysis of the Axialvector Doubly Heavy Tetraquark States with QCD Sum Rules
journal, January 2018

Nonstandard heavy mesons and baryons: Experimental evidence
journal, February 2018

Covariant approximation averaging
journal, June 2015

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

Angular momentum on a lattice
journal, July 1982

Implications of heavy quark-diquark symmetry for excited doubly heavy baryons and tetraquarks
journal, November 2017

Renormalization group improved action for SU(3) lattice gauge theory and the string tension
journal, August 1984

Signatures of $S$ -wave bound-state formation in finite volume
journal, December 2006

A New Hadron Spectroscopy
conference, September 2015

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

Tadpole renormalization and relativistic corrections in lattice NRQCD
journal, June 1998

Scattering processes and resonances from lattice QCD
journal, April 2018

Discovery potential of stable and near-threshold doubly heavy tetraquarks at the LHC
journal, October 2018

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

Tetraquarks with heavy flavors
journal, June 1998

Evidence for the existence of $u d \bar{b} \bar{b}$ and the nonexistence of $s s \bar{b} \bar{b}$ and $c c \bar{b} \bar{b}$ tetraquarks from lattice QCD
journal, July 2015

The Möbius domain wall fermion algorithm
journal, November 2017

Observation of Two Charged Bottomoniumlike Resonances in $Υ (5 S)$ Decays
journal, March 2012

Effective field theory Lagrangians for baryons with two and three heavy quarks
journal, August 2005

Systematics of $$L = 0q^2 \bar q^2 $$ systems
journal, June 1993

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