$πN$ Scattering in the $Δ(1232)$ Region in an Effective Field Theory

Details $πN$ Scattering in the $Δ(1232)$ Region in an Effective Field Theory $πN$ Scattering in the $Δ(1232)$ Region in an Effective Field Theory

2009-07-27

arxiv.org/abs/0907.4569v2

Nucl. Phys. A840:39-75,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

46 pages, 17 figures, version to appear in Nucl. Phys. A

Scientific paper

10.1016/j.nuclphysa.2010.03.008

We develop a generalized version of heavy-baryon chiral perturbation theory
to describe pion-nucleon scattering in a kinematic domain that extends
continuously from threshold to the delta-isobar peak. The $P$-wave phase shifts
are used to illustrate this framework. We also compare our approach with those
in the literature that concern the delta resonance.

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