P-wave pi pi amplitude from dispersion relations
Adam P. Szczepaniak, Peng Guo, Marco Battaglieri, Raffaella De Vita
TL;DR
This paper solves the dispersion relation for the P-wave pi pi amplitude, analyzing the contributions of various components and comparing the solution with quark model descriptions to understand scattering properties.
Contribution
It provides a detailed solution to the dispersion relation for the P-wave pi pi amplitude and compares it with quark model predictions, highlighting the roles of different amplitude components.
Findings
The dispersion relation solution clarifies the role of the left hand cut and CDD poles.
Comparison with quark models shows consistency in certain energy regions.
The analysis enhances understanding of analytical properties of scattering amplitudes.
Abstract
We solve the dispersion relation for the P-wave pi pi amplitude.We discuss the role of the left hand cut vs Castillejo-Dalitz-Dyson (CDD), pole contribution and compare the solution with a generic quark model description. We review the the generic properties of analytical partial wave scattering and production amplitudes and discuses their applicability and fits of experimental data.
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