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Chiral extrapolation of elastic meson-meson scattering: phase shifts and resonance poles

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Nebreda Manjón, Jenifer and Peláez Sagredo, José Ramón (2011) Chiral extrapolation of elastic meson-meson scattering: phase shifts and resonance poles. In IX International Conference on Quark Confinement and the Hadron Spectrum (QCHS IX). AIP Conference Proceedings (1343). American Institute of Physics. ISBN 978-0-7354-0899-9

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Official URL: http://dx.doi.org/10.1063/1.3575001


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Abstract

We study the dependence of the π π scattering phase shifts on the light quark mass in both standard and unitarized SU(2) Chiral Perturbation Theory (ChPT) to one and two loops. We then use unitarized SU(3) ChPT to study the elastic f_0(600), k(800), ρ(770) and K*(892) resonances. The quark masses are varied up to values of interest for lattice studies. We find a very soft dependence on the light quark mass of the π π phase shifts as a function of the center of mass momentum at one loop and slightly stronger at two loops and a good agreement with lattice results. The SU(3) analysis shows that the properties of the ρ(770) and K*(892) depend smoothly on the quark mass whereas the scalar resonances present a non- analyticity at high quark masses. We also confirm the lattice assumption of quark mass independence of the vector two-meson coupling that, however, is violated for scalars.


Item Type:Book Section
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©2011 American Institute of Physics 978-0-7354-0899-9.
International Conference on Quark Confinement and the Hadron Spectrum (9. 2010. Madrid).
Work supported by Spanish MICINN FPA2008-00592 and FIS2006-03438, UCMBSCH GR58/08 910309 and the HadronPhysics2 grant n 227431 of the EU Seventh Framework Programme.

Uncontrolled Keywords:π-π SCATTERING
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:35031
Deposited On:20 Jan 2016 17:15
Last Modified:10 Dec 2018 15:09

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