Effective Hadronic Supersymmetry from Quantum Chromodynamics
DOI:
https://doi.org/10.15407/ujpe64.12.1096Keywords:
supersymmetry, quark models, skyrmionsAbstract
A quark model with potentials derived from QCD that include antiquark-diquark model for excited hadrons leads to mass formulae in very good agreement with experiments. The approximate symmetries and supersymmetries of the hadronic spectrum are exploited including a symmetry breaking mechanism.
References
F. G¨ursey, L.A. Radicati. Spin and unitary spin independence of strong interactions. Phys. Rev. Lett. 13, 299 (1964). https://doi.org/10.1103/PhysRevLett.13.299
H. Miyazawa. Baryon number changing currents. Prog. Theo. Phys. 36, 1266 (1966). https://doi.org/10.1143/PTP.36.1266
H. Miyazawa. Spinor currents and symmetries of baryons and mesons. Phys. Rev. 170, 1586 (1968). https://doi.org/10.1103/PhysRev.170.1586
P. Ramond. Dual theory for free fermions. Phys. Rev. D 3, 2415 (1971). https://doi.org/10.1103/PhysRevD.3.2415
A. Neveu, J. Schwarz. Factorizable dual model of pions - science direct. Nucl. Phys. B 31, 86 (1971). https://doi.org/10.1016/0550-3213(71)90448-2
F. Gliozzi, J. Scherk, D. Olive. Supersymmetry, supergravity theories and the dual spinor model. Nucl. Phys. B 122, 253 (1977). https://doi.org/10.1016/0550-3213(77)90206-1
L. Brink, J. Schwarz, J. Scherk. Supersymmetric Yang-Mills theories. Nucl. Phys. B 121, 77 (1977). https://doi.org/10.1016/0550-3213(77)90328-5
T.A. Golfand, E.P. Likthman. Extension of the algebra of Poincare group generators and violation of p invariance. JETP Lett. 13, 323 (1971).
D.V. Volkov, P. Akulov. Is the neutrino a Goldstone particle. Phys. Lett. B 46, 109 (1973). https://doi.org/10.1016/0370-2693(73)90490-5
J. Wess, B. Zumino. Supergauge transformations in four dimensions. Nucl. Phys. B 70, 39 (1974). https://doi.org/10.1016/0550-3213(74)90355-1
J. Wess, B. Zumino. A Lagrangian model invariant under supergauge transformations. Phys. Lett. B 49, 52 (1974). https://doi.org/10.1016/0370-2693(74)90578-4
A. deRujula, H. Georgi, S. Glashow. Hadron masses in a gauge theory. Phys. Rev. D 12, 147 (1975). https://doi.org/10.1103/PhysRevD.12.147
T. Eguchi. Baryons, diquarks and strings. Phys. Lett. 59, 457 (1975). https://doi.org/10.1016/0370-2693(75)90345-7
S. Catto, F. G¨ursey. Algebraic treatment of effective supersymmetry. Nuovo Cimento A 86, 201 (1985). https://doi.org/10.1007/BF02902548
S. Catto, F. G¨ursey. New realizations of hadronic supersymmetry. Nuovo Cimento A 99, 685 (1988). https://doi.org/10.1007/BF02730633
K. Johnson, C.B. Thorn. Stringlike solutions of the bag model. Phys. Rev. 13, 1934 (1976). https://doi.org/10.1103/PhysRevD.13.1934
P. Hasenfratz, J. Kuti. The quark bag model. Phys. Rep. C 75, 1 (1978). https://doi.org/10.1016/0370-1573(78)90076-5
G.F. de Teramond, H.G. Dosh, S.J. Brodsky. Baryon spectrum from superconformal quantum mechanics and its light-front holographic embedding. Phys. Rev. D 91, 045040 (2015). https://doi.org/10.1103/PhysRevD.91.045040
G.F. de Teramond, H.G. Dosh, S.J. Brodsky. Superconformal baryon-meson symmetry and light-front holographic QCD. Phys. Rev. D 91, 085016 (2015). https://doi.org/10.1103/PhysRevD.91.045040
G.F. de Teramond, H.G. Dosh, S.J. Brodsky. Supersymmetry across the light and heavy-light hadronic spectrum. Phys. Rev. D 92, 074010 (2015). https://doi.org/10.1103/PhysRevD.92.074010
G.F. de Teramond, H.G. Dosh, S.J. Brodsky. Light-front holographic QCD and emerging confinement. Phys. Rep. 584, 1 (2015). https://doi.org/10.1016/j.physrep.2015.05.001
G.F. de Teramond, H.G. Dosh, S.J. Brodsky. Universal effective hadron dynamics from superconformal algebra. Phys. Lett. B 759, 171 (2016). https://doi.org/10.1016/j.physletb.2016.05.068
G.F. de Teramond, H.G. Dosh, S.J. Brodsky. Supersymmetry across the light and heavy-light hadronic spectrum. II. Phys. Rev. D 95, 034016 (2017). https://doi.org/10.1103/PhysRevD.95.034016
S.J. Brodsky, M. Nielsen. Hadronic superpartners from a superconformal and supersymmetric algebra. Phys. Rev. D 97, 114001 (2018). https://doi.org/10.1103/PhysRevD.97.114001
S. Catto. Supergroups in critical dimensions and division algebras. J. Phys. 804, 19 (2017). https://doi.org/10.1088/1742-6596/804/1/012009
S. Catto. Role of octonions in hadronic physics. Phys. Part. Nuclei, Lett. 14(2), 6 (2017). https://doi.org/10.1134/S1547477117020042
S. Catto. Quantum symmetries: From Clifford and Hurwitz algebras to M-theory and leech lattices. Advances in Applied Clifford Algebras 28, 81 (2018). https://doi.org/10.1007/s00006-018-0894-3
M. Anselmino et al. Diquarks. Rev. Mod. Phys. 65, 1199 (1993). https://doi.org/10.1103/RevModPhys.65.1199
F. Iachello. Algebraic models of hadronic structure. Nucl. Phys. A 497, 23 (1989). https://doi.org/10.1016/0375-9474(89)90453-3
F. Iachello, N. Mukhopadhyay, L. Zhang. Spectrum-generating algebra for stringlike mesons: Mass formula for qq mesons. Phys. Rev. B 44, 898 (1991). https://doi.org/10.1103/PhysRevD.44.898
F. Iachello. Anales de Fisica. Monographias. ??? 1, 13 (1993).
S. Catto, H.Y. Cheung, F. G¨ursey. Effective hamiltonian of the relativistic quark model. Mod. Phys. Lett. A 6, 3485 (1991). https://doi.org/10.1142/S0217732391004024
Downloads
Published
How to Cite
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.
.png){kind=small}
