A unitarity analysis on the I=0 $d$ wave $\pi \pi$ scattering amplitude

Abstract

We study I=0 $d$ wave $\pi \pi$ scattering phase shift using a proper unitarization approach. It is verified that the $f_2(1270)$ resonance corresponds to a twin pole structure: one on the second sheet, another one on the third sheet. Also we find fair agreement on $f_2(1270)$ pole's mass and width between our results and the PDG values. Besides, our analysis reveals the existence of a virtual state in this channel. Its pole location is determined by fitting experimental data and it is found to be in good agreement with the prediction from chiral perturbation theory. Our analysis demonstrates that partial wave amplitudes calculated in chiral perturbation theory are reliable in the small $|s|$ region, contrary to some unitarization models.

replaced by the version published in JHEP 0512 (2005) 019. Especially the mistake in the title is corrected

References in corpus (6)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• ππscattering
• The $\kappa$ resonance in s wave $\pi K$ scatterings
• The pole structure of the unitary, crossing symmetric low energy $\pi \pi$ scattering amplitudes
• The [1,2] Padé Amplitudes for $\pi \pi$ Scatterings in Chiral Perturbation Theory
• A Critical Examination to the Unitarized $\pi \pi$ Scattering Chiral Amplitudes

Cited by in corpus (4)

• An improved study of the kappa resonance and the non-exotic $s$ wave $\pi K$ scatterings up to $\sqrt{s}=2.1$GeV of LASS data
• A Dispersive Analysis on the $f_0(600)$ and $f_0(980)$ Resonances in $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ Processes
• Lightest scalars as chiral partners of the Nambu--Goldstone bosons
• Revisiting $O(N)$ $\sigma$ model at unphysical pion masses and high temperatures