Analysis of the DENZ04 low-energy $π^\pm p$ elastic-scattering data

Details Analysis of the DENZ04 low-energy $π^\pm p$ elastic-scattering data Analysis of the DENZ04 low-energy $π^\pm p$ elastic-scattering data

2012-03-16

arxiv.org/abs/1203.3635v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Submitted for reviewing

Scientific paper

This paper presents the results of an analysis of the DENZ04 low-energy $\pi^\pm p$ differential cross sections. We first analysed separately the $\pi^+ p$ and the $\pi^- p$ elastic-scattering measurements on the basis of standard low-energy expansions of the s- and p-wave $K$-matrix elements. After the removal of the outliers (eleven degrees of freedom in the initial database), we subjected the truncated $\pi^\pm p$ elastic-scattering databases into a common optimisation scheme using the ETH model; the optimisation failed to produce reasonable values for the model parameters. The phase-shift solution, extracted from the model fit to the data, is very odd. The problems we have encountered in the analysis of the DENZ04 data are due to the shape of the angular distributions of their $\pi^+ p$ differential cross sections.

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