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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:
 [1];  [2];  [3];  [4];  [5];  [6]
  1. Univ. of Sao Paulo (Brazil). Inst. de Física; SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  3. Univ. de Costa Rica (Costa Rica)
  4. Inst. für Theoretische Physik, Heidelberg (Germany)
  5. Univ. of Sao Paulo (Brazil). Inst. de Física
  6. Chinese Academy of Sciences (CAS), Lanzhou (China). Inst. of Modern Physics
Publication Date:
Research Org.:
SLAC National Accelerator Lab., 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 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. doi: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. doi: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 = {2018},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevd.98.034002

Citation Metrics:
Cited by: 6 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

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