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arXiv · 2311.14605

Coulomb screening in the momentum-space description of the proton-deuteron elastic scattering: Why the renormalization is needed?

A. Deltuva
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Abstract

Proton-deuteron elastic scattering is considered in the framework of momentum-space Faddeev equations with the screening method for the Coulomb interaction. It is shown how the interplay of the proton-proton Coulomb potential and the deuteron pole in the neutron-proton transition operator leads to coinciding singularities in the Faddeev equation. As a consequence, the renormalization of the scattering amplitude is needed in the unscreened Coulomb limit. This finding possibly explains why no need for the renormalization was conjectured in a previous work [Wita{\l}a et al., Eur.~Phys.~J.~A 41, 369 (2009)] missing the coincidence of those singularities.

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A. Deltuva. 2023-11-24. Coulomb screening in the momentum-space description of the proton-deuteron elastic scattering: Why the renormalization is needed?. https://arxiv.org/abs/2311.14605

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