New Insights on Low Energy $\pi N$ Scattering Amplitudes - INSPIRE

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New Insights on Low Energy $\pi N$ Scattering Amplitudes

Yu-Fei Wang
(
- Peking U. and
- Peking U., SKLNPT
)
,
De-Liang Yao
(
- Valencia U., IFIC
)
,
Han-Qing Zheng
(
- Peking U. and
- Peking U., SKLNPT and
- CICQM, Beijing
)

Dec 26, 2017

18 pages

Published in:

Eur.Phys.J.C 78 (2018) 7, 543

Published: Jul 3, 2018

e-Print:

1712.09257 [hep-ph]

DOI:

10.1140/epjc/s10052-018-6024-5

View in:

ADS Abstract Service

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Abstract: (Springer)

The S- and P- wave phase shifts of low-energy pion-nucleon scatterings are analysed using Peking University representation, in which they are decomposed into various terms contributing either from poles or branch cuts. We estimate the left-hand cut contributions with the help of tree-level perturbative amplitudes derived in relativistic baryon chiral perturbation theory up to

\mathcal {O}(p^2)

. It is found that in

S_{11}

and

P_{11}

channels, contributions from known resonances and cuts are far from enough to saturate experimental phase shift data – strongly indicating contributions from low lying poles undiscovered before, and we fully explore possible physics behind. On the other side, no serious disagreements are observed in the other channels.

Note:

slightly chnaged version, a few more figures added. Physical conclusions unchanged

pi nucleon: scattering
perturbation theory: chiral
baryon: chiral
energy: low
pole
phase shift
partial wave analysis
pi nucleon: scattering amplitude
tree approximation

References(38)

Figures(38)

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