Universidad Complutense de Madrid
E-Prints Complutense

Quark-mass dependence of the ρ and σ mesons from dispersion relations and chiral perturbation theory

Impacto

Downloads

Downloads per month over past year

Hanhart, Christoph and Peláez Sagredo, José Ramón and Rios, G. (2008) Quark-mass dependence of the ρ and σ mesons from dispersion relations and chiral perturbation theory. Physical review letters, 100 (15). ISSN 0031-9007

[img]
Preview
PDF
171kB

Official URL: http://dx.doi.org/10.1103/PhysRevLett.100.152001


URLURL Type
http://journals.aps.orgPublisher


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.


Item Type:Article
Additional Information:

©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.

Uncontrolled Keywords:Light scalar mesons; One-loop; Scattering; Unitarization; Particles; Amplitude; Universe
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:35222
Deposited On:26 Jan 2016 15:44
Last Modified:10 Dec 2018 15:09

Origin of downloads

Repository Staff Only: item control page