Note on Unitary Symmetry in Strong Interactions
TL;DR: In this article, a mass formula for particles belonging to the same irreducible representation is derived and compared with experiments, assuming invariance of a theory under three-dimensional unitary group.
Abstract: Assuming invariance of a theory under three-dimensional unitary group, various consequences are investigated. Both the Sakata and Gell-Mann schemes can be treated in this fashion in a simple way. A mass formula for particles belonging to the same irreducible representation is derived and compared with experiments. (auth)
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31 Jul 1992TL;DR: In this paper, the S = 1 interaction was introduced and the Kaon mixing and CP violation was investigated in the context of the large N expansion of the standard QCD model.
Abstract: Preface Inputs to the standard model Interactions of the standard model Symmetries and anomalies Introduction to effective Lagrangians Leptons Very low energy QCD - Pions and photons Introducing kaons and etas Kaons and the S=1 interaction Kaon mixing and CP violation The large N expansion Phenomenological models Baryon properties Hadron spectroscopy Weak interactions of heavy quarks The Higgs boson The electroweak gauge bosons Appendices References Index.
1,058 citations
01 Jun 1994
TL;DR: In this article, the S = 1 interaction was introduced and the Kaon mixing and CP violation was investigated in the context of the large N expansion of the standard QCD model.
Abstract: Preface Inputs to the standard model Interactions of the standard model Symmetries and anomalies Introduction to effective Lagrangians Leptons Very low energy QCD - Pions and photons Introducing kaons and etas Kaons and the S=1 interaction Kaon mixing and CP violation The large N expansion Phenomenological models Baryon properties Hadron spectroscopy Weak interactions of heavy quarks The Higgs boson The electroweak gauge bosons Appendices References Index.
969 citations
729 citations
CERN1
TL;DR: In this article, the Wigner-Eckart theorem is applied to derive a general mass formula for the octets and the Gell-Mann-Okubo mass relation is used to satisfy the mesons.
Abstract: The Clebsch-Gordan (CG) coefficients of SU(3) are derived for the products of the most important irreducible representations. Useful symmetry relations for the CG coefficients are derived. The Wigner-Eckart theorem for this group is given and applied to derive a general mass formula for the octets. The Gell-Mann-Okubo mass relation and a mass relation foi the octets that is very well satisfied by the vector mesons, if one takes as the K/sup */ the 730-Mev (K- pi ) resonance, are given. The Yukawa couplings between baryons and mesons are considered. The mathematical framework of the octet model for strong interactions is examined. (C.E.S.)
690 citations
TL;DR: In the low-energy frontier, the main goal is to perform precision tests of the standard theory and to make up for the smaller energies, high sensitivity is an indispensable requirement (factories).
455 citations
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15 Mar 1961
TL;DR: In this article, a new model of higher symmetry of elementary particles is introduced, in which the eight known baryons are treated as a supermultiplet, degenerate in the limit of unitary symmetry but split into isotopic spin multiplets by a symmetry-breaking term.
Abstract: A new model of the higher symmetry of elementary particles is introduced ln which the eight known baryons are treated as a supermultiplet, degenerate in the limit of unitary symmetry but split into isotopic spin multiplets by a symmetry-breaking term. The symmetry violation is sscribed phenomenologically to the mass differences. The baryons correspond to an eight-dimensional irreducible representation of the unitary group. The pion and K meson fit into a similar set of eight particles along with a predicted pseudoscalar meson X/sup o/ having I = 0. A ninth vector meson coupled to the baryon current can be accomodated natarally in the scheme. It is predicted that the eight baryons should all have the same spin and parity and that pseudoscalar and vector mesons should form octets with possible additional singlets. The mathematics of the unitary group is described by considering three fictitious leptons, nu , e/sup -/ , and mu /sup -/, which may throw light on the structure of weak interactions. (D. L.C.)
286 citations
TL;DR: In this article, the authors proposed a new model of the particle, which leads to a new picture of the particles, which contrasts with the usual picture in the perturbation theoretical treatment.
Abstract: In the full symmetry theory a physical system can be characterized by six quantum numbers. Following the original intention of the composite model, an attempt is made to replace these quantum numbers by others that are easier to understand by intuition. This study leads to a new picture of the particle, which contrasts with the usual picture in the perturbation theoretical treatment. The realistic aspects developed not only promote a deeper understanding of the full symmetry theory of the composite model, but also throw a new light on the structure of elementary particles. (auth)
81 citations