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

2023/11/24 by A. Deltuva, Deltuva, A.
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #High-pressure geophysics and materials #Nuclear Theory (nucl-th) #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.2311.14605

openalex publication_date 2023/11/24 · openalex created_date 2023/11/28 · openalex updated_date 2026/07/28

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 [Witała et al., Eur.~Phys.~J.~A 41, 369 (2009)] missing the coincidence of those singularities.

Related

• "To renormalize or not to renormalize ?'' in the proton-deuteron scattering calculations
• On inclusion of the long-range proton-proton Coulomb force in the three-nucleon scattering Faddeev calculations
• Treatment of the proton-proton Coulomb force in proton-deuteron breakup Faddeev calculations
• Coulomb-nuclear interference in proton-proton scattering: Reply to a comment of V. Petrov
• Coulomb interaction in the diffraction description of the ¹²C(d,p)X reaction