Author:
Wang Yu-Fei,Yao De-Liang,Zheng Han-Qing
Abstract
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
results obtained in covariant baryon chiral perturbation theory within the extended-on-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
level improves significantly the fit quality, comparing with the previous
one. Quantitative studies with cautious physical discussions are also conducted for the other S- and P-wave channels.
Subject
Astronomy and Astrophysics,Instrumentation,Nuclear and High Energy Physics
Cited by
8 articles.
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