Unitary Symmetry and theK→2πDecay
- 12 October 1964
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 136 (1B), B221-B222
- https://doi.org/10.1103/PhysRev.136.B221
Abstract
It is shown that all the decays are forbidden in the limit of complete S symmetry of strong interactions, provided only (a) that both and mesons belong to the same octet and (b) that the nonleptonic decay interactions belong to the -invariant representation (the irreducible representation whose members are -invariant). This is more general than the conclusion of Cabibbo and Gell-Mann. In their proof, the nonleptonic decay Lagrangian is assumed to belong to a -invariant octet. This result suggests that the observed large decay rate of decay is due to the symmetry-breaking interactions and its large value. Finally, a brief comment is given concerning the puzzle in the rule. It is shown that, if one assumes the rule in addition to the above hypothesis (b), the decay can occur only through the electromagnetic corrections and its effective decay Lagrangian should belong to the representations 10 and .
Keywords
This publication has 9 references indexed in Scilit:
- Intermediate vector mesons and unitary symmetryPhysics Letters, 1964
- Nonleptonic Weak Decays and the Eightfold WayPhysical Review Letters, 1964
- Unitary Symmetry and Nonleptonic DecaysPhysical Review Letters, 1964
- Verification of the Tenfold Assignment of the Baryon ResonancesPhysical Review Letters, 1963
- Symmetries of Baryons and MesonsPhysical Review B, 1962
- Derivation of strong interactions from a gauge invarianceNuclear Physics, 1961
- A Possible Symmetry in Sakata's Model for Bosons-Baryons System. IIProgress of Theoretical Physics, 1960
- A Possibile Symmetry in Sakata's Model for Bosons-Baryons SystemProgress of Theoretical Physics, 1959
- A Composite Theory of Elementary ParticlesProgress of Theoretical Physics Supplement, 1959