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- W2035594018 abstract "It is shown that the amplitude for the decay of an ω-meson into two pions at an invariant total mass equal to that of the ϱ0 meson can be described as though due entirely to the mediation of a virtual ϱ0, coupled to the ω by an effective electromagnetic interaction Lagrangian λ(ω·ρ0 − ω0ϱ00). The imaginary part of λ is fixed in magnitude by various considerations based mainly on unitarity, hermiticity, the substitution law, and certain SU(3) signs. The sign of Im λ is linked through the same considerations to the signs of the photon − ω and photon − ϱ0 couplings, and is positive in any convention which attributes equal signs to the two latter couplings. It is estimated that the magnitude of Im λ lies in the range 220 MeV2 to 250 MeV2. The theoretical value of Reλ always has the same sign as Im λ.General formulae for the mass-dependence of the decay amplitude are given, and a specific model is put forward. A simplified general approach, appropriate to the analysis of ϱ0−ω interference in the ππ sub-channel under conditions where the ϱ0 amplitude cannot be measured or calculated with precision, is formulated, and the three-pion sub-channel is also treated.The special model theory advocated gives as a by-product the mass formula M0ϱ = Mϱ + (2π)−1 Λϱ, where M0ϱ is the ϱ-mass in the absence of strong coupling to the ππ channel. This formula suggests that it may be possible to give a simple quantitative theory of the ω-ϱ strong-interaction mass difference." @default.
- W2035594018 created "2016-06-24" @default.
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- W2035594018 date "1970-01-01" @default.
- W2035594018 modified "2023-10-14" @default.
- W2035594018 title "Absorptive effects in the two-pion decay of the omega meson and the three-pion decay of the rho meson" @default.
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- W2035594018 doi "https://doi.org/10.1016/0550-3213(70)90520-1" @default.
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