Pion-Nucleon Scattering in Kadyshevsky Formalism: II Baryon Exchange Sector

Details Pion-Nucleon Scattering in Kadyshevsky Formalism: II Baryon Exchange Sector Pion-Nucleon Scattering in Kadyshevsky Formalism: II Baryon Exchange Sector

2009-05-09

arxiv.org/abs/0905.1408v1

Physics

Nuclear Physics

Nuclear Theory

49 pages

Scientific paper

In this paper, which is the second part in a series of two, we construct tree level baryon exchange and resonance amplitudes for $\pi N$ / $MB$-scattering in the framework of the Kadyshevsky formalism. We use this formalism to formally implement absolute pair suppression, where we make use of the method of Takahashi and Umezawa. The resulting amplitudes are Lorentz invariant and causal. We continue studying the frame dependence of the Kadyshevsky integral equation using the method of Gross and Jackiw. The invariant amplitudes, including those for meson exchange, are linked to the phase-shifts using the partial wave basis.

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