1202.2787 (Hua-Xing Chen et al.)

The pion-pion Interaction in the rho Channel in Finite Volume    [PDF]

Hua-Xing Chen, E. Oset

We evaluate the levels of the pi-pi system in the rho channel in finite
volume. We investigate the dependence on the pion mass and compare with other
approaches which use QCD lattice calculations and effective theories. We also
illustrate the errors induced by using the conventional Luscher approach
instead of a more accurate one recently developed that takes into account
exactly the relativistic two meson propagators. Finally we make use of this
latter approach to solve the inverse problem, getting pi-pi phase shifts from
"synthetic" lattice data and show which accuracy is need in these data to
obtain the $\rho$ properties with a desired accuracy.

View original: http://arxiv.org/abs/1202.2787