Effective Hadronic Supersymmetry from Quantum Chromodynamics

  • S. Catto CUNY Graduate School and University Center, The Rockefeller University
  • Y. Gürcan Department of Science, Borough of Manhattan CC
  • B. Nicolescu Baruch College, City University of New York
  • E. Yu CUNY Graduate School and University Center
Keywords: supersymmetry, quark models, skyrmions

Abstract

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

Published
2019-12-09
How to Cite
Catto, S., Gürcan, Y., Nicolescu, B., & Yu, E. (2019). Effective Hadronic Supersymmetry from Quantum Chromodynamics. Ukrainian Journal of Physics, 64(12), 1096. https://doi.org/10.15407/ujpe64.12.1096
Section
Fields and elementary particles

Most read articles by the same author(s)