@Article{Wang_etal2019, author="Wang, Y. F. and Yao, D. L. and Zheng, H. Q.", title="New insights on low energy pi N scattering amplitudes: comprehensive analyses at O (p(3)) level", journal="Chinese Physics C", year="2019", publisher="Iop Publishing Ltd", volume="43", number="6", pages="064110--22pp", optkeywords="dispersion relations; pion-nucleon scattering; chiral perturbation theory", abstract="A production representation of partial-wave S matrix is utilized to construct low-energy elastic pion-nucleon scattering amplitudes from cuts and poles on complex Riemann sheets. Among them, the contribution of left-hand cuts is estimated using the O (p(3)) results obtained in covariant baryon chiral perturbation theory within the extendedon-nass-shell scheme. By fitting to data on partial-wave phase shifts, it is indicated that the existences of hidden poles in S-11 and P-11 channels, as conjectured in our previous paper [Eur. Phys. J. C, 78(7): 543 (2018)], are firmly established. Specifically, the pole mass of the S-11 hidden resonance is determined to be (895 +/- 81)-(164 +/- 23)i MeV, whereas, the virtual pole in the P-11 channel locates at (966 +/- 18) MeV. It is found that analyses at the O (p(3)) level improves significantly the fit quality, comparing with the previous O (p(2)) one. Quantitative studies with cautious physical discussions are also conducted for the other S- and P-wave channels.", optnote="WOS:000468501700013", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4020), last updated on Wed, 05 Jun 2019 11:00:29 +0000", issn="1674-1137", doi="10.1088/1674-1137/43/6/064110", opturl="https://arxiv.org/abs/1811.09748", opturl="https://doi.org/10.1088/1674-1137/43/6/064110", language="English" }