The topological origin of the shape stability observed in angular distributions of the axially channeled protons

We have devised an experiment to reveal structures in angular distributions of axially channeled protons that are the most resistant to distortions caused by the multiple scattering with crystal electrons that, in the limiting process, erase all structures and produce a featureless Gaussian distribu...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2024-09, Vol.186, p.115235, Article 115235
Main Authors: Ćosić, M., Petrović, S., Siketić, Z., Vićentijević, M., Jakšić, M.
Format: Article
Language:English
Subjects:
Curve index
Pattern formation
Proton rainbow scattering
Shape stability
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Summary:We have devised an experiment to reveal structures in angular distributions of axially channeled protons that are the most resistant to distortions caused by the multiple scattering with crystal electrons that, in the limiting process, erase all structures and produce a featureless Gaussian distribution. The origin of the observed shape stability was linked to the shape constancy of certain closed curves in the scattering angle plane, quantified by the distribution of the number of times each curve travels around the coordinate origin. •We study the topological origin of the stability of the channeled proton trajectories.•An experiment was devised to reveal structures most resistant to nonelastic effects.•The stability was linked to properties of the map of equipotentials to isoenergials.•Isoenergials were classified into equivalence classes according to the curve index.•The shape consistency of equivalence classes explains the observed shape stability.
ISSN:0960-0779
DOI:10.1016/j.chaos.2024.115235