Coulomb screening in the momentum-space description of the proton-deuteron elastic scattering: Why the renormalization is needed?
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866914694239879168 |
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| author | Deltuva, A. |
| author_facet | Deltuva, A. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2311_14605 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Coulomb screening in the momentum-space description of the proton-deuteron elastic scattering: Why the renormalization is needed? Deltuva, A. Nuclear Theory 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. |
| title | Coulomb screening in the momentum-space description of the proton-deuteron elastic scattering: Why the renormalization is needed? |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2311.14605 |