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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:
 [1];  [2]
  1. Univ. of Sao Paulo (Brazil). Inst. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Sao Paulo Research Foundation (FAPESP)
OSTI Identifier:
1444008
Report Number(s):
SLAC-PUB-17231
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:
AC02-76SF00515; 2017/07278-5; SLAC-PUB-17231
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
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.
Nielsen, Marina, & Brodsky, Stanley J. Hadronic superpartners from a superconformal and supersymmetric algebra. United States. doi:10.1103/physrevd.97.114001.
Nielsen, Marina, and Brodsky, Stanley J. Mon . "Hadronic superpartners from a superconformal and supersymmetric algebra". United States. doi:10.1103/physrevd.97.114001. https://www.osti.gov/servlets/purl/1444008.
@article{osti_1444008,
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}
}

Journal Article:
Free Publicly Available Full Text
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