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Quark mass dependence of light resonances and phase shifts in elastic π π and π к scattering



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Nebreda Manjón, Jenifer and Peláez Sagredo, José Ramón (2010) Quark mass dependence of light resonances and phase shifts in elastic π π and π к scattering. In International Workshop on Chiral Symmetry in Hadrons and Nuclei. AIP Conference Proceedings (1322). Amer Inst Physics. ISBN 978-0-7354-0878-4

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Official URL: http://dx.doi.org/10.1063/1.3542014


We study the light quark mass dependence of the π π scattering phase shifts in standard one and two-loop SU(2) Chiral Perturbation Theory (ChPT). We then repeat the study with unitarized ChPT and; furthermore, we extend the analysis to SU(3) and generate the elastic f_0(600), к(800) ρ(770) and K*(892) resonances from unitarization. The quark masses are varied up to values of interest for lattice studies. We find that the SU(2) π π phase shifts both in standard and unitarized ChPT depend very softly on the pion mass and that our results are in fair agreement with lattice results in the I=2, J=0 channel. In the SU(3) amplitudes, the mass and width of the ρ (770) and K*(892) present an analogous and smooth quark mass dependence. In contrast, both scalars present a similar non-analyticity at high quark masses. We also confirm the lattice assumption of independence of the vector two-meson coupling on the quark mass, that is, nevertheless, violated for scalars.

Item Type:Book Section
Additional Information:

©Amer Inst Physics.
International Workshop on Chiral Symmetry in Hadrons and Nuclei (2010. Valencia).
Work partially supported by Spanish MICINN: FPA2007-29115-E, FPA2008-00592 and FIS2006-03438, U.Complutense/ Banco Santander grant PR34/07-15875-BSCH and UCM-BSCH GR58/08 910309 and the EU-Research Infrastructure Integrating Activity “Study of Strongly Interacting Matter” (HadronPhysics2, Grant n 227431) under the EU Seventh Framework Programme.

Uncontrolled Keywords:One-loop; Scattering; Amplitude
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:35154
Deposited On:21 Jan 2016 18:16
Last Modified:10 Dec 2018 15:09

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