We perform a nonperturbative lattice calculation of the complex phase and modulus of the pion form factor in the timelike momentum region using the finite-volume technique. We use two ensembles of 2+1-flavor overlap fermion at pion masses m_pi = 380 and 290 MeV. By calculating the I = 1 correlators in the center-of-mass and three moving frames, we obtain the form factor at ten different values of the timelike momentum transfer around the vector resonance. We compare the results with the phenomenological model of Gounaris-Sakurai and its variant.
@article{arxiv.1412.6319,
title = {Timelike pion form factor in lattice QCD},
author = {Xu Feng and Sinya Aoki and Shoji Hashimoto and Takashi Kaneko},
journal= {arXiv preprint arXiv:1412.6319},
year = {2015}
}
Comments
34 pages, 14 figures, 4 tables. v3, minor changes are made, version accepted for publication in PRD