Universal effective hadron dynamics from superconformal algebra
An effective supersymmetric QCD lightfront 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 quarkconfining 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 lightquark hadron spectra, including a universal mass scale for the slopes of the meson and baryon Regge trajectories and a zeromass 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 frameindependent decomposition in the semiclassical approximation described here.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Univ. de Costa Rica, San Pedro de Montes de Oca (Costa Rica)
 Institut fur Theoretische Physik der Univ., Heidelberg (Germany)
 Ecole Polytechnique, CNRS, Univ. ParisSaclay, Palaiseau (France)
 Publication Date:
 Report Number(s):
 SLACPUB16504
Journal ID: ISSN 03702693; PII: S0370269316302155; TRN: US1601640
 Grant/Contract Number:
 AC0276SF00515
 Type:
 Accepted Manuscript
 Journal Name:
 Physics Letters. Section B
 Additional Journal Information:
 Journal Volume: 759; Journal Issue: C; Journal ID: ISSN 03702693
 Publisher:
 Elsevier
 Research Org:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; PhenomenologyHEP; TheoryHEP; HEPPH; HEPTH
 OSTI Identifier:
 1249395
Brodsky, Stanley J., de Teramond, Guy F., Dosch, Hans Gunter, and Lorce, Cedric. Universal effective hadron dynamics from superconformal algebra. United States: N. p.,
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. doi:10.1016/j.physletb.2016.05.068.
Brodsky, Stanley J., de Teramond, Guy F., Dosch, Hans Gunter, and Lorce, Cedric. 2016.
"Universal effective hadron dynamics from superconformal algebra". United States.
doi: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 lightfront 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 quarkconfining 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 lightquark hadron spectra, including a universal mass scale for the slopes of the meson and baryon Regge trajectories and a zeromass 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 frameindependent decomposition in the semiclassical approximation described here.},
doi = {10.1016/j.physletb.2016.05.068},
journal = {Physics Letters. Section B},
number = C,
volume = 759,
place = {United States},
year = {2016},
month = {5}
}