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Il Nuovo Cimento A (1965-1970)

, Volume 42, Issue 4, pp 737–742 | Cite as

Sum rules for the coupling constants of three boson octets in brokenSU3

  • V. Gupta
Article

Summary

Sum rules for the coupling constants of three bosons octets are given. They are applied to K** (1430) and A2 (1320) resonances. It is concluded that they belong to aJ P =2+ octet rather than a 27-plet.

Keywords

Atomic Energy Commission Decay Versus Charge Conjugation Parity Small Breaking Eighth Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Riassunto

Si danno le regole di somma per le costanti di accoppiamento di tre ottetti di bosoni e si applicano alle risonanze K** (1430) e A2 (1320). Si conclude che esse appartengono a un ottettoJ P =2+ piuttosto che a un 27-pletto.

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References

  1. (1).
    V. Gupta andV. Singh:Phys.; Rev.,139, B 782 (1964). We follow the techniques and notation of this paper.ADSCrossRefGoogle Scholar
  2. (2).
    S. L. Glashow andR. H. Socolow:Decay Modes of Spin-Two Mesons, preprint (1965). This refers to other work on the 2+ octet.Google Scholar
  3. (3).
    M. Gell-Mann:Phys. Rev. Lett.,12, 155 (1964). ℰ-charge conjugation parity of the eighth component.ADSMathSciNetCrossRefGoogle Scholar
  4. (4).
    Recall that if an octetM has ℰ(M)=±1, then theG-parity ofM(1, 0)=∓1 and ofM (0. 0)=∓1. Also, the symmetry breaking spurion octet “S” has ℰ(S)=+1.Google Scholar
  5. (5).
    The sum rules for this case, in terms of coupling constants, have already been noted byS. L. Glashow andM. Muraskin:Phys. Rev.,132, 482 (1963).ADSMathSciNetCrossRefGoogle Scholar
  6. (6).
    Our information on the f’ stems from ref. (2) above.S. L. Glashow andR. H. Socolow:Decay Modes of Spin-Two Mesons, preprint (1965). This refers to other work on the 2+ octet.Google Scholar
  7. (7).
    G. Goldhaber: UCRL-11971 (1965).Google Scholar
  8. (8).
    Note that A2, K**, f’ satisfy the Gell-Mann-Okubo mass formula to within 10%. But the same mass sum rule is valid if they all belong to a 27-plet. Thus the satisfaction of only the mass formula by them cannot decide whether they are in an8 or27.Google Scholar
  9. (9).
    The sum rules for this case can be obtained by feeding in the equalities (6.43) and (6.44), of ref. (1),, in the eqs. (6.25) to (6.24).ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1966

Authors and Affiliations

  • V. Gupta
    • 1
  1. 1.California Institute of TechnologyPasadena

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