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Dependence on the quark masses of elastic phase shifts and light resonances within standard and unitarized ChPT

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Nebreda Manjón, Jenifer and Peláez Sagredo, José Ramón (2011) Dependence on the quark masses of elastic phase shifts and light resonances within standard and unitarized ChPT. In 12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU 2010). AIP Conference Proceedings (1374). American Institute of Physics, pp. 635-638. ISBN 978-0-7354-0934-7

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Official URL: http://dx.doi.org/10.1063/1.3647220


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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 pi pi phase shifts at one loop and lightly stronger at two loops and a good agreement with lattice results. The SU(3) analysis shows that the properties of the rho(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.


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© 2011 American Institute of Physics 978-0-7354-0934-7.
International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU 2010).(12.2010. New York).
Work partially supported by Spanish MICINN: FPA2007- 9115-E, FPA2008-00592 and FIS2006-03438, U.Complutense/ Banco Santander grant PR34/07- 15875-BSCH and UCM-BSCH GR58/08 910309 and the EUResearch Infrastructure Integrating Activity “Study of Strongly Interacting Matter” (HadronPhysics2, Grant n 227431) under the EU Seventh Framework Programme.

Uncontrolled Keywords:π π Scattering; Gev-C; High statistics
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:35010
Deposited On:19 Jan 2016 17:21
Last Modified:10 Dec 2018 15:09

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