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Coulomb Effects in Low Energy Proton-Proton Scattering

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arxiv hep-ph/9903523 v1 pith:TEXZ7OJZ submitted 1999-03-30 hep-ph nucl-th

classification hep-phnucl-th
keywords coulombscatteringcorrectionseffectiveinteractionsproton-protonatomsattractive
verification ladder T0 review T1 audit T2 compute T3 formal
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Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate non-perturbatively Coulomb corrections to proton-proton scattering. Including the dimension-eight derivative interaction in the PDS regularization scheme, we recover a modified form of the Blatt-Jackson relation between the scattering lengths. The effective range receives no corrections from the Coulomb interactions to this order. Also the case of scattering in channels where the Coulomb force is attractive, is considered. This is of importance for hadronic atoms.

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Cited by 4 Pith papers

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  1. Universal Closed Form for Dynamical Love Numbers of Black Holes

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    Derives a universal closed-form expression for the dynamical response of Schwarzschild black holes using RG resummation and far-zone matching, verified via shell EFT to high orders.

  2. Coulomb Corrections to Three-Nucleon Moments

    nucl-th 2026-05 unverdicted novelty 4.0 of 10

    Pionless EFT calculations find unexpectedly small O(alpha) Coulomb corrections to three-nucleon magnetic moments and GT matrix elements, yielding a fitted prediction for the proton-proton fusion reduced matrix element...

  3. Role of electromagnetic corrections in the $\pi\pi$ distributions of $\psi^\prime \to J/\psi \pi \pi$

    hep-ph 2026-03 accept novelty 4.0 of 10

    Electromagnetic corrections alter the π⁺π⁻-threshold cusp magnitude by ~2–3% in ψ′→J/ψπ⁰π⁰, so they must be included for precision extraction of S-wave ππ scattering lengths.

  4. Scattering and Femtoscopic Correlation Functions of the $\Sigma_c^{++}\pi^{+}$, $\Sigma_c^{0}\pi^{-}$ and $\Sigma_b^{+}\pi^{+}$ Systems

    hep-ph 2026-03 conditional novelty 4.0 of 10

    Theoretical predictions show that femtoscopic correlation functions for neutral Σ_c^0 π^- pairs best constrain isotensor strong interactions in charm and bottom sectors, while Coulomb repulsion diminishes discriminati...

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