This is a preview of subscription content, log in via an institution to check access.
References
C. Bemporad, P. L. Braccini, L. Foà, K. Lübelsmeyer andD. Schmitz:Phys. Lett.,25 B, 380 (1967).
M. Gell-Mann, D. H. Sharp andW. Wagner:Phys. Rev. Lett.,8, 261 (1962). See alsoM. Gell-Mann andF. Zachariasen:Phys. Rev.,124, 953 (1961).
A. H. Rosenfeld, A. Barbaro-Galtieri, W. J. Podolsky, K. R. Price, P. Soding, C. G. Wohl, M. Ross andW. J. Willis:Rev. Mod. Phys., to be published.
S. Weinberg:Phys. Rev. Lett.,18, 507 (1967);T. Das, G. S. Guralnik, V. S. Mathur, F. E. Low andJ. E. Young:Phys. Rev. Lett.,18, 759 (1967);S. L. Glashow, H. Schnitzer andS. Weinberg:Phys. Rev. Lett.,19, 139 (1967);T. Das, V. S. Mathur andS. Okubo:Phys. Rev. Lett.,18, 761 (1967);J. J. Sakurai:Phys. Rev. Lett.,19, 803 (1967).
R. J. Oakes andJ. J. Sakurai:Phys. Rev. Lett.,19, 1266 (1967).
S. Coleman andH. J. Schnitzer:Phys. Rev.,134, B 863 (1964).
N. M. Kroll, T. D. Lee andB. Zumino:Phys. Rev.,157, 1376 (1967).
T. Das, V. S. Mathur ansS. Okubo:Phys. Rev. Lett.,19, 470 (1967).
It has been shown in ref. (8), that within the vector meson dominance approximation, the current mixing model is the only theory of ω-ϕ mixing which is compatible with the generalized first sum rule of Weinberg.
Our notation for the ω-ϕ mixing angles follows the one in ref. (7).
V. De Alfaro, S. Fubini, G. Rossetti andG. Furlan:Phys. Lett.,21, 576 (1965).
R. Oehme:Phys. Rev.,154, 1358 (1967).
G. Venturi:Phys. Rev.,161, 1438 (1967).
We have written down only the superconvergence relations we are interested in. In particular our relations are independent of whether or not an X-meson plays an important role (SeeA. Baracca andA. Bramon:Nuovo Cimento,51 A, 873 (1967).)
The following masses were used in the calculations:m ρ=780 MeV,m ω=783 MeV,m ϕ=1018 MeV,m η=549 MeV.
The relationf πρϕ=0 was used.
The numerical factor 11.5·10−2 MeV in eq. (13) comes from the integration over the phase-space in the three-body final state.
The lower-sign solution in eq. (14) may also be rejected because of the fact that it is in violent disagreement with present experimental information. It gives for the experimental valueR=0.147±0.022 that Γ(η→2γ)≃1/50 keV.
The stated errors in eqs. (17) and (17′) correspond to the assumption that relations (1), (2), (2′) and (4) are exact.
Author information
Authors and Affiliations
Additional information
This work has been supported in part by U.S. Atomic Energy Commission, Contract No. AT (11-1)-264.
Rights and permissions
About this article
Cite this article
Gounaris, G.J. Meson decays in brokenSU 3 . Nuovo Cimento A (1965-1970) 53, 565–570 (1968). https://doi.org/10.1007/BF02800136
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02800136