Exotic to standard bottomonium transitions

Tarrús Castellà, Jaume; Passemar, Emilie

doi:10.1103/PhysRevD.104.034019

Title: Exotic to standard bottomonium transitions

Abstract

We study the transition widths of $Υ (10753)$ and $Υ (11020)$ into standard bottomonium under the hypothesis that they correspond to the two lowest laying $1^{- -}$ hybrid bottomonium states. We employ weakly coupled potential NRQCD an effective field theory incorporating the heavy-quark and multipole expansions. We consider the transitions generated by the leading order and next-to-leading order singlet-octet operators. In the multipole expansion the heavy-quark matrix elements factorize from the production of light-quark mesons by gluonic operators. For the leading order operator we compute the widths with a single $π^{0}$ , $η$ or $η^{'}$ in the final state and for the next-to-leading operator for $π^{+} π^{-}$ or $K^{+} K^{-}$ . The hadronization of the gluonic operators is obtained, in the first case, from the axial anomaly and a standard $π^{0} - η - η^{'}$ mixing scheme and, in the second case, we employ a coupled-channel dispersive representation matched to chiral perturbation theory for both the $S$ - and $D$ -wave pieces of the gluonic operator. We compare with experimental values and semi-inclusive widths. Our results strongly suggest that $Υ (11020)$ is indeed a hybrid bottomonium state.

Authors:

; Passemar, Emilie

Publication Date:: Mon Aug 16 00:00:00 EDT 2021

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

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); European Union (EU); Ministerio de Ciencia, Innovación y Universidades; Generalitat de Catalunya

OSTI Identifier:: 1813499

Alternate Identifier(s):: OSTI ID: 1814468

Report Number(s):: JLAB-THY-21-3349; DOE/OR/23177-5167; arXiv:2104.03975
Journal ID: ISSN 2470-0010; PRVDAQ; 034019

Grant/Contract Number:: AC05-06OR23177; PHY-1714253; 665919; FPA2017-86989-P; SEV-2016-0588; 2017-SGR-1069

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 104 Journal Issue: 3; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; effective field theory; hadronic decays; nonrelativistic QCD; bottom quark; hybrid mesons; quarkonia

Citation Formats


                    Tarrús Castellà, Jaume, and Passemar, Emilie. Exotic to standard bottomonium transitions.  United States: N. p., 2021. 
Web.  doi:10.1103/PhysRevD.104.034019.

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                    Tarrús Castellà, Jaume, & Passemar, Emilie. Exotic to standard bottomonium transitions.  United States.  https://doi.org/10.1103/PhysRevD.104.034019

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                    Tarrús Castellà, Jaume, and Passemar, Emilie. Mon .  
"Exotic to standard bottomonium transitions".  United States.  https://doi.org/10.1103/PhysRevD.104.034019.

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@article{osti_1813499,

  title        = {Exotic to standard bottomonium transitions},

  author       = {Tarrús Castellà, Jaume and Passemar, Emilie},

  abstractNote = {We study the transition widths of Υ(10753) and Υ(11020) into standard bottomonium under the hypothesis that they correspond to the two lowest laying 1–– hybrid bottomonium states. We employ weakly coupled potential NRQCD an effective field theory incorporating the heavy-quark and multipole expansions. We consider the transitions generated by the leading order and next-to-leading order singlet-octet operators. In the multipole expansion the heavy-quark matrix elements factorize from the production of light-quark mesons by gluonic operators. For the leading order operator we compute the widths with a single π0, η or η' in the final state and for the next-to-leading operator for π+π– or K+K–. The hadronization of the gluonic operators is obtained, in the first case, from the axial anomaly and a standard π0–η–η' mixing scheme and, in the second case, we employ a coupled-channel dispersive representation matched to chiral perturbation theory for both the S- and D-wave pieces of the gluonic operator. We compare with experimental values and semi-inclusive widths. Our results strongly suggest that Υ(11020) is indeed a hybrid bottomonium state.},

  doi          = {10.1103/PhysRevD.104.034019},

  journal      = {Physical Review D},

  number       = 3,

  volume       = 104,

  place        = {United States},

  year         = {Mon Aug 16 00:00:00 EDT 2021},

  month        = {Mon Aug 16 00:00:00 EDT 2021}

}

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Title: Exotic to standard bottomonium transitions

Abstract

Citation Formats

Heavy quarkonium hybrids from Coulomb gauge QCD journal, September 2008

Energy Scan of the e + e − → h b ( n P ) π + π − ( n = 1 , 2) Cross Sections and Evidence for ϒ ( 11020 ) Decays into Charged Bottomoniumlike States journal, September 2016

Born-Oppenheimer approximation for the X Y Z mesons journal, July 2014

Masses, Widths, and Leptonic Widths of the Higher Upsilon Resonances journal, February 1985

Observation of a Narrow Charmoniumlike State in Exclusive B ± → K ± π + π − J / ψ Decays journal, December 2003

Quarkonium hybrids with nonrelativistic effective field theories journal, December 2015

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D 51 , 1125 (1995)] journal, May 1997

Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV journal, April 2011

Mixing and decay constants of pseudoscalar mesons journal, October 1998

Heavy quarkonium hybrids: Spectrum, decay, and mixing journal, July 2017

String breaking by light and strange quarks in QCD journal, June 2019

The $\eta$ - $\eta\prime$ mixing angle revisited journal, February 1999

Mesons with excited glue journal, September 1983

On the solution of certain singular integral equations of quantum field theory journal, April 1958

Ab Initio Study of Hybrid b ¯ gb Mesons journal, May 1999

QCD spin effects in the heavy hybrid potentials and spectra journal, March 2020

Static potentials and glueball masses from QCD simulations with Wilson sea quarks journal, July 2000

The decay of a light Higgs boson journal, October 1990

Effects of Z b states and bottom meson loops on ϒ ( 4 S ) → ϒ ( 1 S , 2 S ) π + π − transitions journal, February 2017

Effective lagrangians for bound state problems in QED, QCD, and other field theories journal, February 1986

Hyperasymptotic approximation to the plaquette and determination of the gluon condensate journal, December 2020

π0-η-η′ mixing from V → Pγ and P → Vγ decays journal, August 2020

A schematic model of baryons and mesons journal, February 1964

Effective field theory for ultrasoft momenta in NRQCD and NRQED journal, May 1998

Some General Relations between the Photoproduction and Scattering of π Mesons journal, July 1954

Precision computation of hybrid static potentials in SU(3) lattice gauge theory journal, February 2019

Lepton flavor violation in the Higgs sector and the role of hadronic τ -lepton decays journal, January 2014

Dispersive analysis of $$\eta \rightarrow 3 \pi $$ η → 3 π journal, November 2018

Hybrid static potential flux tubes from SU(2) and SU(3) lattice gauge theory journal, September 2019

ISOSPIN SYMMETRY BREAKING THROUGH π 0 –η–η′ MIXING journal, November 2005

$$\pi \pi \rightarrow K {\bar{K}}$$ π π → K K ¯ scattering up to 1.47 GeV with hyperbolic dispersion relations journal, November 2018

Hadronic molecules journal, February 2018

Effect of Z b states on ϒ ( 3 S ) → ϒ ( 1 S ) π π decays journal, February 2016

What π − π scattering tells us about chiral perturbation theory journal, May 1993

Observation of a new structure near 10.75 GeV in the energy dependence of the e+e−→ ϒ (nS)π+π− (n = 1, 2, 3) cross sections journal, October 2019

Fine Structure of the QCD String Spectrum journal, April 2003

Comment on the ???J/??? decay journal, March 1981

Effective field theory for double heavy baryons at strong coupling journal, July 2020

Erratum: Spin structure of heavy-quark hybrids [Phys. Rev. D 99 , 014017 (2019)] journal, May 2020

Nonrelativistic effective field theory for heavy exotic hadrons journal, July 2020

Hadrons with a heavy color-adjoint particle journal, April 1999

RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses journal, December 2000

Potential NRQCD: an effective theory for heavy quarkonium journal, January 2000

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

Measurements of the ϒ ( 10860 ) and ϒ ( 11020 ) resonances via σ ( e + e − → ϒ ( n S ) π + π − ) journal, January 2016

Measuring Quantum-Chromodynamic Anomalies in Hadronic Transitions between Quarkonium States journal, September 1980

Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium journal, February 1995

Higgs decay into goldstone bosons journal, May 1989

Observation of New Structure in the e + e − Cross Section above the ϒ ( 4 S ) journal, February 1985

The charm/bottom quark mass from heavy quarkonium at N3LO journal, September 2018

Spin structure of heavy-quark hybrids journal, January 2019

$N_f$ dependence of the quark condensate from a chiral sum rule journal, May 2000

Observation of string breaking in QCD journal, June 2005

QCD phenomenology of static sources and gluonic excitations at short distances journal, May 2004

Heavy quarkonium hybrids from Coulomb gauge QCD
journal, September 2008

Energy Scan of the $e^{+} e^{-} \to h_{b} (n P) π^{+} π^{-}$ ( $n = 1$ , 2) Cross Sections and Evidence for $ϒ (11020)$ Decays into Charged Bottomoniumlike States
journal, September 2016

Born-Oppenheimer approximation for the $X Y Z$ mesons
journal, July 2014

Masses, Widths, and Leptonic Widths of the Higher Upsilon Resonances
journal, February 1985

Observation of a Narrow Charmoniumlike State in Exclusive $B^{\pm} \to K^{\pm} π^{+} π^{-} J / ψ$ Decays
journal, December 2003

Quarkonium hybrids with nonrelativistic effective field theories
journal, December 2015

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D 51 , 1125 (1995)]
journal, May 1997

Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV
journal, April 2011

Mixing and decay constants of pseudoscalar mesons
journal, October 1998

Heavy quarkonium hybrids: Spectrum, decay, and mixing
journal, July 2017

String breaking by light and strange quarks in QCD
journal, June 2019

The $\eta$ - $\eta\prime$ mixing angle revisited
journal, February 1999

Mesons with excited glue
journal, September 1983

On the solution of certain singular integral equations of quantum field theory
journal, April 1958

Ab Initio Study of Hybrid $\bar{b} gb$ Mesons
journal, May 1999

QCD spin effects in the heavy hybrid potentials and spectra
journal, March 2020

Static potentials and glueball masses from QCD simulations with Wilson sea quarks
journal, July 2000

The decay of a light Higgs boson
journal, October 1990

Effects of $Z_{b}$ states and bottom meson loops on $ϒ (4 S) \to ϒ (1 S, 2 S) π^{+} π^{-}$ transitions
journal, February 2017

Effective lagrangians for bound state problems in QED, QCD, and other field theories
journal, February 1986

Hyperasymptotic approximation to the plaquette and determination of the gluon condensate
journal, December 2020

π0-η-η′ mixing from V → Pγ and P → Vγ decays
journal, August 2020

A schematic model of baryons and mesons
journal, February 1964

Effective field theory for ultrasoft momenta in NRQCD and NRQED
journal, May 1998

Some General Relations between the Photoproduction and Scattering of $π$ Mesons
journal, July 1954

Precision computation of hybrid static potentials in SU(3) lattice gauge theory
journal, February 2019

Lepton flavor violation in the Higgs sector and the role of hadronic $τ$ -lepton decays
journal, January 2014

Dispersive analysis of $$\eta \rightarrow 3 \pi $$ η → 3 π
journal, November 2018

Hybrid static potential flux tubes from SU(2) and SU(3) lattice gauge theory
journal, September 2019

ISOSPIN SYMMETRY BREAKING THROUGH π ⁰ –η–η′ MIXING
journal, November 2005

$$\pi \pi \rightarrow K {\bar{K}}$$ π π → K K ¯ scattering up to 1.47 GeV with hyperbolic dispersion relations
journal, November 2018

Hadronic molecules
journal, February 2018

Effect of $Z_{b}$ states on $ϒ (3 S) \to ϒ (1 S) π π$ decays
journal, February 2016

What $π - π$ scattering tells us about chiral perturbation theory
journal, May 1993

Observation of a new structure near 10.75 GeV in the energy dependence of the e+e−→ ϒ (nS)π+π− (n = 1, 2, 3) cross sections
journal, October 2019

Fine Structure of the QCD String Spectrum
journal, April 2003

Comment on the ???J/??? decay
journal, March 1981

Effective field theory for double heavy baryons at strong coupling
journal, July 2020

Erratum: Spin structure of heavy-quark hybrids [Phys. Rev. D 99 , 014017 (2019)]
journal, May 2020

Nonrelativistic effective field theory for heavy exotic hadrons
journal, July 2020

Hadrons with a heavy color-adjoint particle
journal, April 1999

RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
journal, December 2000

Potential NRQCD: an effective theory for heavy quarkonium
journal, January 2000

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

Measurements of the $ϒ (10860)$ and $ϒ (11020)$ resonances via $σ (e^{+} e^{-} \to ϒ (n S) π^{+} π^{-})$
journal, January 2016

Measuring Quantum-Chromodynamic Anomalies in Hadronic Transitions between Quarkonium States
journal, September 1980

Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium
journal, February 1995

Higgs decay into goldstone bosons
journal, May 1989

Observation of New Structure in the $e^{+} e^{-}$ Cross Section above the $ϒ (4 S)$
journal, February 1985

The charm/bottom quark mass from heavy quarkonium at N3LO
journal, September 2018

Spin structure of heavy-quark hybrids
journal, January 2019

$N_f$ dependence of the quark condensate from a chiral sum rule
journal, May 2000

Observation of string breaking in QCD
journal, June 2005

QCD phenomenology of static sources and gluonic excitations at short distances
journal, May 2004