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New insights on low energy πN scattering amplitudes
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DOI：10.1140/epjc/s10052-018-6024-5.png)
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Abstract
En 中文
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 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.
Keywords:
ANALYTIC PROPERTIES
CHIRAL DYNAMICS
KAPPA-RESONANCE
NUCLEON
SINGULARITIES
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