2019/06/10 by В. А. Петров, Petrov, Vladimir A.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.1906.03895
openalex publication_date 2019/06/10 · openalex created_date 2019/06/14 · openalex updated_date 2026/07/28
This is a proof that if the eikonal is, as usually assumed, additive in strong and electro-magnetic interactions then the application of the Bethe Ansatz for the full scattering amplitude leads to the strong interaction scattering amplitude with the ratio ( real/imaginary) independent on the transferred momentum t . Moreover, the unitarity condition makes the strong interaction amplitude vanishing. Thus, the Bethe form for the Coulomb-nuclear scattering amplitude and the same amplitude based on the additive eikonal are incompatible.