The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
The Octet Model and its Clebsch-Gordan Coefficients
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.)
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Citations
Cites
Symmetries of Baryons and Mesons
Gell-Mann, M. (1962) · Physical Review · doi:10.1103/physrev.125.1067 · Cited by 2,387
Group Theory and its Applications to Physical Problems
Hamermesh, M., & Mullin, A. A. (1962) · American Journal of Physics · doi:10.1119/1.1941790 · Cited by 1,725
Note on Unitary Symmetry in Strong Interactions
Ôkubo, S. (1962) · Progress of Theoretical Physics · doi:10.1143/ptp.27.949 · Cited by 877
Electrodynamic Properties of Baryons in the Unitary Symmetry Scheme
Coleman, S., & Glashow, S. L. (1961) · Physical Review Letters · doi:10.1103/physrevlett.6.423 · Cited by 507
On the Representations of the Semisimple Lie Groups. II
Baird, G. E., & Biedenharn, L. C. (1963) · Journal of Mathematical Physics · doi:10.1063/1.1703926 · Cited by 436
Racah, G. (1965) · Springer tracts in modern physics · doi:10.1007/bfb0045770 · Cited by 284
Biedenharn, L. C. (1963) · Journal of Mathematical Physics · doi:10.1063/1.1703974 · Cited by 172
Invariant operators of the casimir type
Biedenharn, L. C. (1962) · Physics Letters · doi:10.1016/0031-9163(62)90008-2 · Cited by 42
Possible Schemes for Global Symmetry
Speiser, D., & Tarski, J. (1963) · Journal of Mathematical Physics · doi:10.1063/1.1703996 · Cited by 31
Cited by
Modern theory of nuclear forces
Epelbaum, E., Hammer, H.-W., & Meißner, U.-G. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.1773 · Cited by 1,883
Group theory for unified model building
Slansky, R. (1981) · Physics Reports · doi:10.1016/0370-1573(81)90092-2 · Cited by 1,362
Soft-core hyperon-nucleon potentials
Rijken, T. A., Stoks, V. G. J., & Yamamoto, Y. (1999) · Physical Review C · doi:10.1103/physrevc.59.21 · Cited by 577
Metadata
- Authors
- de Swart, J. J.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1963-10-01
- Volume
- 35
- Issue
- 4
- Pages
- 916-939
- ISSN
- 0034-6861 (ISSN-L)
- OpenAlex
- W1981899036
- Cited by
- 987
- References
- 9
- FWCI
- 53.32
- Type
- journal article
- Language
- en
- Open access
- closed
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