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Title: Universal effective hadron dynamics from superconformal algebra

Abstract

An effective supersymmetric QCD light-front Hamiltonian for hadrons composed of light quarks, which includes a spin–spin interaction between the hadronic constituents, is constructed by embedding superconformal quantum mechanics into AdS space. A specific breaking of conformal symmetry inside the graded algebra determines a unique effective quark-confining potential for light hadrons, as well as remarkable connections between the meson and baryon spectra. The results are consistent with the empirical features of the light-quark hadron spectra, including a universal mass scale for the slopes of the meson and baryon Regge trajectories and a zero-mass pion in the limit of massless quarks. Our analysis is consistently applied to the excitation spectra of the π , ρ , K , K* and Φ meson families as well as to the N , Δ, Λ, Σ, Σ* , Ξ and Ξ* in the baryon sector. Here, we also predict the existence of tetraquarks which are degenerate in mass with baryons with the same angular momentum. The mass of light hadrons is expressed in a universal and frame-independent decomposition in the semiclassical approximation described here.

Authors:
 [1];  [2];  [3];  [4]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. Univ. de Costa Rica, San Pedro de Montes de Oca (Costa Rica)
  3. Institut fur Theoretische Physik der Univ., Heidelberg (Germany)
  4. Ecole Polytechnique, CNRS, Univ. Paris-Saclay, Palaiseau (France)
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1249395
Report Number(s):
SLAC-PUB-16504
Journal ID: ISSN 0370-2693; PII: S0370269316302155; TRN: US1601640
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Physics Letters. B
Additional Journal Information:
Journal Volume: 759; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Phenomenology-HEP; Theory-HEP; HEPPH; HEPTH

Citation Formats

Brodsky, Stanley J., de Teramond, Guy F., Dosch, Hans Gunter, and Lorce, Cedric. Universal effective hadron dynamics from superconformal algebra. United States: N. p., 2016. Web. doi:10.1016/j.physletb.2016.05.068.
Brodsky, Stanley J., de Teramond, Guy F., Dosch, Hans Gunter, & Lorce, Cedric. Universal effective hadron dynamics from superconformal algebra. United States. https://doi.org/10.1016/j.physletb.2016.05.068
Brodsky, Stanley J., de Teramond, Guy F., Dosch, Hans Gunter, and Lorce, Cedric. Wed . "Universal effective hadron dynamics from superconformal algebra". United States. https://doi.org/10.1016/j.physletb.2016.05.068. https://www.osti.gov/servlets/purl/1249395.
@article{osti_1249395,
title = {Universal effective hadron dynamics from superconformal algebra},
author = {Brodsky, Stanley J. and de Teramond, Guy F. and Dosch, Hans Gunter and Lorce, Cedric},
abstractNote = {An effective supersymmetric QCD light-front Hamiltonian for hadrons composed of light quarks, which includes a spin–spin interaction between the hadronic constituents, is constructed by embedding superconformal quantum mechanics into AdS space. A specific breaking of conformal symmetry inside the graded algebra determines a unique effective quark-confining potential for light hadrons, as well as remarkable connections between the meson and baryon spectra. The results are consistent with the empirical features of the light-quark hadron spectra, including a universal mass scale for the slopes of the meson and baryon Regge trajectories and a zero-mass pion in the limit of massless quarks. Our analysis is consistently applied to the excitation spectra of the π , ρ , K , K* and Φ meson families as well as to the N , Δ, Λ, Σ, Σ* , Ξ and Ξ* in the baryon sector. Here, we also predict the existence of tetraquarks which are degenerate in mass with baryons with the same angular momentum. The mass of light hadrons is expressed in a universal and frame-independent decomposition in the semiclassical approximation described here.},
doi = {10.1016/j.physletb.2016.05.068},
journal = {Physics Letters. B},
number = C,
volume = 759,
place = {United States},
year = {Wed May 25 00:00:00 EDT 2016},
month = {Wed May 25 00:00:00 EDT 2016}
}

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