A unitarity analysis on the I=0 $d$ wave $\pi\pi$ scattering amplitude
Abstract
We study I=0 wave scattering phase shift using a proper unitarization approach. It is verified that the resonance corresponds to a twin pole structure: one on the second sheet, another one on the third sheet. Also we find fair agreement on 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 region, contrary to some unitarization models.
Cite
@article{arxiv.hep-ph/0508040,
title = {A unitarity analysis on the I=0 $d$ wave $\pi\pi$ scattering amplitude},
author = {Jian-jun Wang and Z. Y. Zhou and H. Q. Zheng},
journal= {arXiv preprint arXiv:hep-ph/0508040},
year = {2010}
}
Comments
replaced by the version published in JHEP 0512 (2005) 019. Especially the mistake in the title is corrected