Hadronic superpartners from a superconformal and supersymmetric algebra

Nielsen, Marina; Brodsky, Stanley J.

doi:10.1103/PhysRevD.97.114001

Title: Hadronic superpartners from a superconformal and supersymmetric algebra

Abstract

Through the embedding of superconformal quantum mechanics into AdS space, it is possible to construct an effective supersymmetric QCD light-front Hamiltonian for hadrons, which includes a spin-spin interaction between the hadronic constituents. A specific breaking of conformal symmetry determines a unique effective quark-confining potential for light hadrons, as well as remarkable connections between the meson, baryon, and tetraquark spectra. The pion is massless in the chiral limit and has no supersymmetric partner. The excitation spectra of relativistic light-quark meson, baryon and tetraquark bound states lie on linear Regge trajectories with identical slopes in the radial and orbital quantum numbers. Although conformal symmetry is strongly broken by the heavy quark mass, the basic underlying supersymmetric mechanism, which transforms mesons to baryons (and baryons to tetraquarks) into each other, still holds and gives remarkable connections across the entire spectrum of light, heavy-light and double-heavy hadrons. We show that all the observed hadrons can be related through this effective supersymmetric QCD, and that it can be used to identify the structure of the new charmonium states.

Authors:

Nielsen, Marina ^[1]; Brodsky, Stanley J. ^[2]

Univ. of Sao Paulo (Brazil). Inst. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States)

Publication Date:: Mon Jun 04 00:00:00 EDT 2018

Research Org.:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC); Sao Paulo Research Foundation (FAPESP)

OSTI Identifier:: 1440280

Alternate Identifier(s):: OSTI ID: 1444008

Report Number(s):: SLAC-PUB-17231
Journal ID: ISSN 2470-0010; PRVDAQ; 114001

Grant/Contract Number:: AC02-76SF00515; 2017/07278-5; SLAC-PUB-17231

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 97 Journal Issue: 11; 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; conformal field theory; field and string theory models and techniques; hypothetical particle physics models; particle phenomena; supersymmetric models

Citation Formats


                    Nielsen, Marina, and Brodsky, Stanley J. Hadronic superpartners from a superconformal and supersymmetric algebra.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.97.114001.

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                    Nielsen, Marina, & Brodsky, Stanley J. Hadronic superpartners from a superconformal and supersymmetric algebra.  United States.  https://doi.org/10.1103/PhysRevD.97.114001

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                    Nielsen, Marina, and Brodsky, Stanley J. Mon .  
"Hadronic superpartners from a superconformal and supersymmetric algebra".  United States.  https://doi.org/10.1103/PhysRevD.97.114001.

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@article{osti_1440280,

  title        = {Hadronic superpartners from a superconformal and supersymmetric algebra},

  author       = {Nielsen, Marina and Brodsky, Stanley J.},

  abstractNote = {Through the embedding of superconformal quantum mechanics into AdS space, it is possible to construct an effective supersymmetric QCD light-front Hamiltonian for hadrons, which includes a spin-spin interaction between the hadronic constituents. A specific breaking of conformal symmetry determines a unique effective quark-confining potential for light hadrons, as well as remarkable connections between the meson, baryon, and tetraquark spectra. The pion is massless in the chiral limit and has no supersymmetric partner. The excitation spectra of relativistic light-quark meson, baryon and tetraquark bound states lie on linear Regge trajectories with identical slopes in the radial and orbital quantum numbers. Although conformal symmetry is strongly broken by the heavy quark mass, the basic underlying supersymmetric mechanism, which transforms mesons to baryons (and baryons to tetraquarks) into each other, still holds and gives remarkable connections across the entire spectrum of light, heavy-light and double-heavy hadrons. We show that all the observed hadrons can be related through this effective supersymmetric QCD, and that it can be used to identify the structure of the new charmonium states.},

  doi          = {10.1103/PhysRevD.97.114001},

  journal      = {Physical Review. D.},

  number       = 11,

  volume       = 97,

  place        = {United States},

  year         = {Mon Jun 04 00:00:00 EDT 2018},

  month        = {Mon Jun 04 00:00:00 EDT 2018}

}

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New Insights into Color Confinement, Hadron Dynamics, Spectroscopy, and Jet Hadronization from Light-Front Holography and Superconformal Algebra

Journal Article Brodsky, S. J. - Russian Physics Journal

A fundamental problem in hadron physics is to obtain a relativistic color-confining, first approximation to QCD which can predict both hadron spectroscopy and the frame-independent light-front (LF) wavefunctions underlying hadron dynamics. The QCD Lagrangian with zero quark mass has no explicit mass scale; the classical theory is conformally invariant. Thus, a fundamental problem is to understand how the mass gap and ratios of masses – such as mρ/mp – can arise in chiral QCD. De Alfaro, Fubini, and Furlan have made an important observation that a mass scale can appear in the equations of motion without affecting the conformal invariance of the action if one adds a term to the Hamiltonian proportional to the dilatation operator or the special conformal operator and rescales the time variable. If one applies the same procedure to the light-front Hamiltonian, it leads uniquely to a confinement potential κ⁴ζ² for mesons, where ζ² is the LF radial variable conjugate to themore »« less
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https://doi.org/10.1007/s11182-017-1089-4

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journal, January 2007

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journal, May 2005

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journal, February 2017

Review of Particle Physics
journal, October 2016

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journal, October 2016

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journal, January 1977

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

Conformal invariance in quantum mechanics
journal, August 1976

First Observation of the Doubly Charmed Baryon $Ξ_{c c}^{+}$
journal, August 2002

QCD sum rule study of a charged bottom-strange scalar meson
journal, May 2016

Diquark correlations in baryon spectroscopy and holographic QCD
journal, August 2009

The new heavy mesons: A status report
journal, July 2006

Superconformal quantum mechanics
journal, January 1984

Observation of the Narrow State $X (3872) \to J / ψ π^{+} π^{-}$ in $\bar{p} p$ Collisions at $\sqrt{s} = 1.96 T e V$
journal, August 2004

Light-front holographic QCD and emerging confinement
journal, July 2015

Observation of X(3872) production in pp collisions at $\sqrt{s}=7\mbox{~TeV}$
journal, May 2012

Baryon spectroscopy
journal, April 2010

Observation of $Y (3940) \to J / ψ ω$ in $B \to J / ψ ω K$ at BABAR
journal, August 2008

Heavy-quark QCD exotica
journal, March 2017

Charmonium options for the $X (3872)$
journal, March 2004

Study of $B \to X (3872) K$ , with $X (3872) \to J / ψ π^{+} π^{-}$
journal, June 2008

Universal effective hadron dynamics from superconformal algebra
journal, August 2016

Superconformal baryon-meson symmetry and light-front holographic QCD
journal, April 2015

Dynamical breaking of supersymmetry
journal, October 1981

Observation of a Charged Charmoniumlike Structure in $e^{+} e^{-} \to π^{+} π^{-} J / ψ$ at $\sqrt{s} = 4.26 GeV$
journal, June 2013

Study of $e^{+} e^{-} \to π^{+} π^{-} J / ψ$ and Observation of a Charged Charmoniumlike State at Belle
journal, June 2013

$Q^{2} {\bar{Q}}^{2}$ resonances in the baryon-antibaryon system
journal, March 1978

Precision Measurement of the $X (3872)$ Mass in $J / ψ π^{+} π^{-}$ Decays
journal, October 2009

Toward dynamical understanding of the diquarks, pentaquarks and dibaryons
journal, January 2005

Supersymmetry across the light and heavy-light hadronic spectrum
journal, October 2015

Algebraic treatment of effective supersymmetry
journal, April 1985

Analysis of the Quantum Numbers $J^{P C}$ of the X (3872) Particle
journal, March 2007

Diquark-antidiquark states with hidden or open charm and the nature of $X (3872)$
journal, January 2005

Baryon spectrum from superconformal quantum mechanics and its light-front holographic embedding
journal, February 2015

Evidence for a $B_{s}^{0} π^{\pm}$ State
journal, July 2016

Predicting exotic hadron masses from supersymmetry and a quark - diquark model
journal, August 1997

Linear Meson and Baryon Trajectories in Ads/Qcd
journal, October 2007

Baryons with two heavy quarks: Masses, production, decays, and detection
journal, November 2014

All possible generators of supersymmetries of the S-matrix
journal, March 1975

Measurement of the X(3872) production cross section via decays to J/ψπ + π − in pp collisions at $ \sqrt{s}=7 $ TeV
journal, April 2013

Baryon Number Changing Currents
journal, December 1966

$I^{G} J^{P C} = 1^{-} 1^{- +}$ tetraquark states
journal, September 2008

Effective confining potentials for QCD
journal, October 2014

Study of $X (3915) \to J / ψ ω$ in two-photon collisions
journal, October 2012

Determination of the $X (3872)$ Meson Quantum Numbers
journal, May 2013

Observation of the Doubly Charmed Baryon $Ξ_{c c}^{+ +}$
journal, September 2017

Higher charmonia
journal, September 2005

Publisher’s Note: Search for Structure in the $B_{s}^{0} π^{\pm}$ Invariant Mass Spectrum [Phys. Rev. Lett. 117 , 152003 (2016)]
journal, March 2017

Observation and Properties of the $X (3872)$ Decaying to $J / ψ π^{+} π^{-}$ in $p \bar{p}$ Collisions at $\sqrt{s} = 1.96 T e V$
journal, October 2004