Summary
A systematic comparison between the predictions of unbrokenSU 3 and experiment regarding strong decays of accepted and potential supermultiplets is presented. It is found that the accepted supermultiplets (J P=3/2+, 1−, 2+) are in reasonable agreement with predictions, while the hypothetical 3/2− and 5/2+ cases are not.
Riassunto
Si espone un confronto sistematico fra le predizioni della simmetriaSU 3 non infranta e gli esperimenti riguardanti i decadimenti forti dei supermultipletti accettati e potenziali. Si trova che i supermultipletti accettati (J P=3/2+, 1−, 2+) sono in ragionevole accordo con le previsioni, mentre non lo sono i casi ipotetici 3/2− e 5/2+.
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References
We consider two-body decays only. (One exception, namely the 3π decay of vector meson isosinglets is discussed in footnote (19)).
For the 1−, 3/2+, 3/2− and 5/2+ cases, seeS. Glashow andA. Rosenfeld:Phys. Rev. Lett.,10, 192 (1963); andM. Gourdin:Erg. Exakt. Natur.,36, 1 (1964).
For the 2+ case seeS. L. Glashow andR. H. Socolow:Phys. Rev. Lett.,15, 329 (1965).
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One can of course consider potential meson supermultiplets as well. For example the set {B (1220), C° (1225), D (1280) and E (1415)} is a candidate for 1+ nonet status, and can be so accomodated provided D, E mixing is assumed. However, there are serious questions as to the nature of the B and C mass peaks. This, together with the fact that the decay modes are only very crudely known, makes any analysis highly problematical at the present time.
M. Gell-Mann: CTSL-20 (1961);S. Okubo:Progr. Theor. Phys.,27, 949 (1962).
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A. J. Macfarlane andR. H. Socolow: Syracuse University Preprint NYO-3399-44 (1965).
TheD/F ratio is described in Table III by the parameter α, where (1−α)/α=D/F For the 2+ decays α≡G/F in the notation of ref. (3) For the 2+ case see.
This prescription is very close, but not identical to that used in the various references of footnote (2).For the 1−, 3/2+, 3/2− and 5/2+ cases, see.
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seeLondon et al. (ref. (20))
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For a review of the situation, seeJ. Leitner:An Experimentalist's View of SU 3 , Syracuse University, ONR report ONR-tt-1 (unpublished). This statement depends upon the octet nature of the breaking interaction. Clearly, one can always fit the data with small additional terms if one allows all sorts of breaking, with concomitantly large number of parameters.
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This work was supported by the U. S. Atomic Energy Commission and the Office of Naval Research.
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Goldberg, M., Leitner, J., Musto, R. et al. Strong decay rates andSU 3. A comparison and critique. Nuovo Cimento A (1965-1970) 45, 169–178 (1966). https://doi.org/10.1007/BF02738084
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DOI: https://doi.org/10.1007/BF02738084