Unexplained empirical relations among certain scatterings

Astronomy and Astrophysics – Astrophysics

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Scientific paper

When the differential cross-section data of π+ -proton scattering are compared to the data of proton-alpha scattering at momenta related by 4p4=pπ (where p4 is the momentum of p-alpha scattering and pπ is the momentum of π+ -proton scattering) a correlation is observed between pπ=125 MeV/c and 1100 MeV/c. The correlation is most pronounced in the region of the lowest energy resonance of both scatterings (pπ⊃210 MeV/c). A less pronounced correlation (in the lower energy regions) among four scatterings is observed when the differential cross-section data of π+ -p and p-alpha scatterings and the data of p-3He and protondeuteron scatterings are compared using relations 4p4=3p3=2p2=pπ (where p3 is the p-3He momentum and p2 is the proton-deuteron momentum). The facts strongly suggest something of physical significance but no theoretical explanation is known. Indeed, an explanation seems to be beyond the scope of existing theory.

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