Spatial image of reaction area from scattering I: SO_mu(2.1) algebra formalism
M. V. Polyakov, O.N. Soldatenko, A.N. Vall, A.A. Vladimirov
TL;DR
This paper introduces a formalism linking scattering amplitudes to the spatial distribution of particles in hadron reactions, focusing on the nearest approach parameter to map production locations.
Contribution
It develops a novel algebraic formalism using SO_mu(2.1) to relate scattering data to spatial images of the reaction area.
Findings
Provides a method to determine spatial distribution of outgoing particles.
Connects scattering amplitudes with coordinate space localization.
Enhances understanding of hadron reaction mechanisms.
Abstract
We develop general formalism of how to relate scattering amplitudes for exclusive processes to spatial image of target hadron. More precisely we show how to determine the spatial distribution of outgoing particles in the space of so-called nearest approach parameter. This parameter characterizes the position in the coordinate space the place where the final particle is produced.
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Taxonomy
TopicsAdvanced NMR Techniques and Applications · Molecular spectroscopy and chirality · Radiation Detection and Scintillator Technologies