DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Supersymmetry in the double-heavy hadronic spectrum

Abstract

Relativistic light-front bound-state equations for double-heavy mesons, baryons and tetraquarks are constructed in the framework of supersymmetric light front holographic QCD. Although heavy quark masses strongly break conformal symmetry, supersymmetry and the holographic embedding of semiclassical light-front dynamics still holds. The theory, derived from five-dimensional anti–de Sitter space, predicts that the form of the confining potential in the light-front Hamiltonian is harmonic even for heavy quarks. Therefore, the basic underlying supersymmetric mechanism, which transforms meson-baryon and baryon-tetraquark wave functions into each other, can also be applied to the double-heavy sector; one can then successfully relate the masses of the double-heavy mesons to double-heavy baryons and tetraquarks. The dependence of the confining potential on the hadron mass scale agrees completely with the one derived in heavy light systems from heavy quark symmetry. We also make predictions for higher excitations of the charmonium and bottomonium states. Lastly, in particular, the remarkable equality of the Regge slopes in the orbital angular momentum, L, and the principal quantum number, n, is predicted to remain valid

Authors:
; ; ; ; ;
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1462587
Alternate Identifier(s):
OSTI ID: 1468695
Grant/Contract Number:  
AC02-76SF00515; AC02–76SF00515
Resource Type:
Published Article
Journal Name:
Physical Review. D.
Additional Journal Information:
Journal Name: Physical Review. D. Journal Volume: 98 Journal Issue: 3; 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

Nielsen, Marina, Brodsky, Stanley J., de Téramond, Guy F., Dosch, Hans Günter, Navarra, Fernando S., and Zou, Liping. Supersymmetry in the double-heavy hadronic spectrum. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.034002.
Nielsen, Marina, Brodsky, Stanley J., de Téramond, Guy F., Dosch, Hans Günter, Navarra, Fernando S., & Zou, Liping. Supersymmetry in the double-heavy hadronic spectrum. United States. https://doi.org/10.1103/PhysRevD.98.034002
Nielsen, Marina, Brodsky, Stanley J., de Téramond, Guy F., Dosch, Hans Günter, Navarra, Fernando S., and Zou, Liping. Thu . "Supersymmetry in the double-heavy hadronic spectrum". United States. https://doi.org/10.1103/PhysRevD.98.034002.
@article{osti_1462587,
title = {Supersymmetry in the double-heavy hadronic spectrum},
author = {Nielsen, Marina and Brodsky, Stanley J. and de Téramond, Guy F. and Dosch, Hans Günter and Navarra, Fernando S. and Zou, Liping},
abstractNote = {Relativistic light-front bound-state equations for double-heavy mesons, baryons and tetraquarks are constructed in the framework of supersymmetric light front holographic QCD. Although heavy quark masses strongly break conformal symmetry, supersymmetry and the holographic embedding of semiclassical light-front dynamics still holds. The theory, derived from five-dimensional anti–de Sitter space, predicts that the form of the confining potential in the light-front Hamiltonian is harmonic even for heavy quarks. Therefore, the basic underlying supersymmetric mechanism, which transforms meson-baryon and baryon-tetraquark wave functions into each other, can also be applied to the double-heavy sector; one can then successfully relate the masses of the double-heavy mesons to double-heavy baryons and tetraquarks. The dependence of the confining potential on the hadron mass scale agrees completely with the one derived in heavy light systems from heavy quark symmetry. We also make predictions for higher excitations of the charmonium and bottomonium states. Lastly, in particular, the remarkable equality of the Regge slopes in the orbital angular momentum, L, and the principal quantum number, n, is predicted to remain valid},
doi = {10.1103/PhysRevD.98.034002},
journal = {Physical Review. D.},
number = 3,
volume = 98,
place = {United States},
year = {Thu Aug 02 00:00:00 EDT 2018},
month = {Thu Aug 02 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.98.034002

Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: Double charm mesons (shown as green squares) baryons (shown as blue triangles) and tetraquarks (shown as red circles) with different values of angular momentum L and radial excitation n. The solid lines are the trajectories fit from (13). Hadron masses are taken from PDG [27]. In the leftmore » hand side figure we show states with SM = SD = ST = 0 and we have used λQ = 0.785 GeV2 and ΔM2 = 8.898 GeV2 for the values of the parameters in Eq. (13). In the right hand side figure we show states with SM = SD = ST = 1 and we have used λQ = 0.782 GeV2 and ΔM2 = 8.027 GeV2 for the values of the parameters in Eq. (13).« less

Save / Share:

Works referenced in this record:

Supersymmetry across the light and heavy-light hadronic spectrum. II.
journal, February 2017

  • Dosch, Hans Günter; de Téramond, Guy F.; Brodsky, Stanley J.
  • Physical Review D, Vol. 95, Issue 3
  • DOI: 10.1103/PhysRevD.95.034016

Review of Particle Physics
journal, October 2016


Confirmation of the doubly charmed baryon <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:msubsup><mml:mi>Ξ</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>c</mml:mi></mml:mrow><mml:mo>+</mml:mo></mml:msubsup></mml:math>(3520) via its decay to <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>p</mml:mi><mml:msup><mml:mi>D</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>
journal, November 2005


Light-front dynamics and AdS/QCD correspondence: The pion form factor in the space- and time-like regions
journal, March 2008


Quantum Chromodynamic Predictions for the Deuteron Form Factor
journal, July 1983

  • Brodsky, Stanley J.; Ji, Chueng-Ryong; Lepage, G. P.
  • Physical Review Letters, Vol. 51, Issue 2
  • DOI: 10.1103/PhysRevLett.51.83

B c spectroscopy
journal, April 1995


Conformal invariance in quantum mechanics
journal, August 1976

  • de Alfaro, V.; Fubini, S.; Furlan, G.
  • Il Nuovo Cimento A, Vol. 34, Issue 4
  • DOI: 10.1007/BF02785666

First Observation of the Doubly Charmed Baryon Ξ c c +
journal, August 2002


Hadronic Spectra and Light-Front Wave Functions in Holographic QCD
journal, May 2006


Quarkonium as a relativistic bound state on the light front
journal, July 2017


Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction
journal, June 2018


Quantum superconformal model in (1, 2) space
journal, September 1983

  • Akulov, V. P.; Pashnev, A. I.
  • Theoretical and Mathematical Physics, Vol. 56, Issue 3
  • DOI: 10.1007/BF01086252

Superconformal quantum mechanics
journal, January 1984


The large $N$ limit of superconformal field theories and supergravity
journal, January 1998


Hadronic superpartners from a superconformal and supersymmetric algebra
journal, June 2018


Bottomonium mesons and strategies for their observation
journal, September 2015


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


Exotic open-flavor b c q ¯ q ¯ , b c s ¯ s ¯ and q c q ¯ b ¯ , s c s ¯ b ¯ tetraquark states
journal, March 2014


Spectroscopy of doubly heavy baryons
journal, August 2000


Heavy-quark QCD exotica
journal, March 2017

  • Lebed, Richard F.; Mitchell, Ryan E.; Swanson, Eric S.
  • Progress in Particle and Nuclear Physics, Vol. 93
  • DOI: 10.1016/j.ppnp.2016.11.003

Higher charmonia and X , Y , Z states with screened potential
journal, May 2009


Doubly heavy spin-1/2 baryon spectrum in QCD
journal, December 2012


Exotic <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:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:math>-like molecules in QCD sum rules
journal, December 2012


Universal effective hadron dynamics from superconformal algebra
journal, August 2016


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

  • Dosch, Hans Günter; de Téramond, Guy F.; Brodsky, Stanley J.
  • Physical Review D, Vol. 91, Issue 8
  • DOI: 10.1103/PhysRevD.91.085016

Dynamical breaking of supersymmetry
journal, October 1981


Leptonic and digamma decay properties of S -wave quarkonia states
journal, August 2012


AdS/QCD Holographic Wave Function for the ρ Meson and Diffractive ρ Meson Electroproduction
journal, August 2012


Kinematical and dynamical aspects of higher-spin bound-state equations in holographic QCD
journal, April 2013

  • de Téramond, Guy F.; Dosch, Hans Günter; Brodsky, Stanley J.
  • Physical Review D, Vol. 87, Issue 7
  • DOI: 10.1103/PhysRevD.87.075005

Mass spectra of doubly heavy baryons in the relativistic quark model
journal, July 2002


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

  • Dosch, Hans Günter; de Téramond, Guy F.; Brodsky, Stanley J.
  • Physical Review D, Vol. 92, Issue 7
  • DOI: 10.1103/PhysRevD.92.074010

Analysis of the vector and axialvector Bc mesons with QCD sum rules
journal, October 2013


Meson masses and widths in a gauge theory with linear binding potential
journal, March 1976


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

  • de Téramond, Guy F.; Dosch, Hans Günter; Brodsky, Stanley J.
  • Physical Review D, Vol. 91, Issue 4
  • DOI: 10.1103/PhysRevD.91.045040

Light and heavy mesons in a soft-wall holographic approach
journal, October 2010


Diffractive ρ and ϕ production at HERA using a holographic AdS/QCD light-front meson wave function
journal, October 2016


Spectroscopy with heavy-quark symmetry
journal, March 1991


Light-Front Holography: A First Approximation to QCD
journal, February 2009


The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

  • Maldacena, Juan
  • International Journal of Theoretical Physics, Vol. 38, Issue 4, p. 1113-1133
  • DOI: 10.1023/A:1026654312961

Linear confinement and AdS/QCD
journal, July 2006


Open charm-bottom scalar tetraquarks and their strong decays
journal, February 2017


Hadrons with charm and beauty
journal, March 1994

  • Bagan, E.; Dosch, H. G.; Gosdzinsky, P.
  • Zeitschrift für Physik C Particles and Fields, Vol. 64, Issue 1
  • DOI: 10.1007/BF01557235

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


Effective confining potentials for QCD
journal, October 2014

  • Trawiński, Arkadiusz P.; Głazek, Stanisław D.; Brodsky, Stanley J.
  • Physical Review D, Vol. 90, Issue 7
  • DOI: 10.1103/PhysRevD.90.074017

Status of quarkonia-like negative and positive parity states in a relativistic confinement scheme
journal, March 2018


Observation of the Doubly Charmed Baryon Ξ c c + +
journal, September 2017


Meson wave function from holographic models
journal, September 2009


Higher charmonia
journal, September 2005


Analysis of nucleon electromagnetic form factors from light-front holographic QCD: The spacelike region
journal, January 2017

  • Sufian, Raza Sabbir; de Téramond, Guy F.; Brodsky, Stanley J.
  • Physical Review D, Vol. 95, Issue 1
  • DOI: 10.1103/PhysRevD.95.014011

Meson hyperfine splittings and leptonic decays
journal, August 1975


Doubly heavy baryons in QCD sum rules
journal, November 2008


Quantum mechanics with applications to quarkonium
journal, December 1979


Decay constants in soft wall AdS/QCD revisited
journal, December 2016


Quark-level analogue of nuclear fusion with doubly heavy baryons
journal, November 2017


Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.