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Author  |
Wang, Y.F.; Yao, D.L.; Zheng, H.Q. |
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Title |
New insights on low energy pi N scattering amplitudes: comprehensive analyses at O (p(3)) level |
Type |
Journal Article |
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Year |
2019 |
Publication |
Chinese Physics C |
Abbreviated Journal |
Chin. Phys. C |
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Volume |
43 |
Issue |
6 |
Pages |
064110 - 22pp |
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Keywords |
dispersion relations; pion-nucleon scattering; chiral perturbation theory |
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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. |
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Address |
[Wang, Yu-Fei; Zheng, Han-Qing] Peking Univ, Dept Phys, Beijing 100871, Peoples R China, Email: yaodeliang@pku.edu.cn |
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Publisher |
Iop Publishing Ltd |
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Language |
English |
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Original Title |
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Series Volume |
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Edition |
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ISSN |
1674-1137 |
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Notes |
WOS:000468501700013 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
4020 |
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