https://doi.org/10.1140/epja/s10050-024-01367-7
Regular Article - Theoretical Physics
Inverse-scattering separable NN potential constrained to phase-shift data up to 2.5 GeV. I.—Uncoupled states
1
Department of Physics-FCFM, University of Chile, Av. Blanco Encalada 2008, 8370449, Santiago, RM, Chile
2
CEA, DAM, DIF, 91297, Arpajon, France
Received:
5
April
2024
Accepted:
17
June
2024
Published online:
30
July
2024
We introduce a new method to construct, within inverse-scattering theory, an energy-independent separable potential capable of reproducing exactly both phase shift and absorption over a predefined energy range. The approach relies on the construction of non-overlapping multi-rank separable potentials, whose form factors are obtained by solving linear equations on intervals where the K matrix does have zeros. Applications are made to nucleon–nucleon (NN) interactions constrained to the SAID-SP07 phase-shift analysis up to 2.5 GeV lab energy. The inversion potentials are channel dependent with rank dictated by the number of zeros of the K matrix, reproducing the data up to a selected upper momentum. The account for absorption yields complex separable form factors, resulting in a non-Hermitian potential. Applications are restricted to NN spin-uncoupled states considering a Schrödinger-like wave equation with minimal relativity. Its extension to spin-coupled states and relativistic kernels are discussed.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
