Publication: Quark-mass dependence of the ρ and σ mesons from dispersion relations and chiral perturbation theory
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2008-03
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American Physical Society
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Abstract
We 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 rho 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 lattice.
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©2008 The American Physical Society.
We thank G. Colangelo, S. Du¨rr, V. V. Flambaum, U. G. Meißner, and A. Rusetsky for their useful comments.
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