Masses and Widths of Light Scalar Mesons in Chiral Perturbation Theory
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摘要:
Based on the diquark model, we assume that the light scalar mesons are q2q-2 states rather than qq. The chiral effective Lagrangian for the light scalar meson is constructed, and the mass relations are obtained: the isotriplet (α0) and the isosinglet (f0) are the heaviest and are degenerate, the isodoublets (κ) are heavier and the other isosinglet (σ) is the lightest; and 2M2κ = M2α0 + M2σ. Using experimental value for a0 and a mass, we obtain Mκ = 794 MeV, which is consistent with the experimental value. Then taking г(a00→ηπ0) = 90 MeV and F(f0→π0π0) = 20 MeV, we get the width of or is: г(σ →π+π+) = 150 MeV.