Quark-Mass Dependence of the and Mesons from Dispersion Relations <?format ?>and Chiral Perturbation Theory
C Hanhart, JR Peláez, G Rios - Physical review letters, 2008 - APS
C Hanhart, JR Peláez, G Rios
Physical review letters, 2008•APSWe use the one-loop chiral perturbation theory π π-scattering amplitude and dispersion
theory in the form of the inverse amplitude method to study the quark-mass dependence of
the two lightest resonances of the strong interactions, the f 0 (600)(σ) and the ρ meson. As
the main results, we find that the ρ π π coupling constant is almost quark mass independent
and that the ρ mass shows a smooth quark-mass dependence while that of the σ shows a
strong nonanalyticity. These findings are important for studies of the meson spectrum on the …
theory in the form of the inverse amplitude method to study the quark-mass dependence of
the two lightest resonances of the strong interactions, the f 0 (600)(σ) and the ρ meson. As
the main results, we find that the ρ π π coupling constant is almost quark mass independent
and that the ρ mass shows a smooth quark-mass dependence while that of the σ shows a
strong nonanalyticity. These findings are important for studies of the meson spectrum on the …
We use the one-loop chiral perturbation theory -scattering amplitude and dispersion theory in the form of the inverse amplitude method to study the quark-mass dependence of the two lightest resonances of the strong interactions, the () and the meson. As the main results, we find that the coupling constant is almost quark mass independent and that the mass shows a smooth quark-mass dependence while that of the shows a strong nonanalyticity. These findings are important for studies of the meson spectrum on the lattice.
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