Abstract
One can prove, there is generally eight various ω − ø mixings forms in elementary particle physics, which on one side give different forms of the vector-meson-nucleon coupling constants through fF, fD and fS in SU(3) invariant Lagrangian of the vector-meson-baryon interactions, and on the other side different signs of the universal vector-meson coupling constants fρ, fω and fø. Identical set of numerical values of fF, fD and fS is evaluated only in that case, if the same ω − ø mixing is applied to a derivation of the vectormeson-nucleon coupling constant forms and also to the signs of the universal vector-meson coupling constants fρ, fω and fø.
Highlights
1 3 δab qc qc where quark representation qa = (u, d, s) of the corresponding vector mesons is given as ρ0 =
The ω8, ω0 states do not correspond to the known physical states ω(782) and φ(1020), as one can verify by the evaluation of the ω8 mass by the Gell-Mann-Okubo quadratic mass formula [3]
The quadratic values of the universal vector meson coupling constants fV = fρ, fω, fφ are estimated from the experimental values the vector-meson lepton widths Γ(V → e+e−) =
Summary
The ω −φ mixing [1] is well established concept and it is an integral part of many textbooks of the particle physics. We can demonstrate the correct application of ω −φ mixing on the obtaining an explicit quark representation of the φ and ω mesons. Where quark representation qa = (u, d, s) of the corresponding vector mesons is given as ρ0 =. One can use a correspondence 0.63192 = sin θ, 0.77500 = cos θ with the angle θ = 39.19◦ and together with the equations (5),(6) produce exactly eight possible different forms of ω − φ mixing forms. Taking into account (2) one gets an explicit quark representation of the ω and φ mesons as follows. As a result the strange quark content of the ω meson should be negligible and the strange quark content of the φ meson should be dominant
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