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Numerical calculation of Coulomb corrections in forward elastic and scattering
Phys. Rev. D 112, 016023 – Published 24 July, 2025
DOI: https://doi.org/10.1103/m14m-gbh5
Abstract
The analysis of RHIC hydrogen gas jet target polarimeter measurements of transverse analyzing powers in proton-nucleus scattering requires accurate Coulomb corrections to both spin-flip and nonflip amplitudes. These corrections must cover a wide range of nuclear charges and form factor slopes, with flexibility to vary form factors during data fitting. To avoid technically challenging calculations involving a small but finite fictitious photon mass, the Coulomb correction to the nonflip electromagnetic amplitude with an exponential form factor was related to the corresponding correction for the spin-flip amplitude. This approach allows soft photon contributions to all amplitudes, including those with nonexponential form factors, to be calculated in the massless photon limit using only analytical expressions and numerically stable integrals with nonsingular integrands and finite integration limits. In addition, an absorptive correction to the spin-flip electromagnetic amplitude, which plays a critical role in spin effects in forward polarized proton-nucleus scattering, was accurately evaluated.
Physics Subject Headings (PhySH)
Corrections
16 October, 2025
Correction: Minor errors in Eqs. (38), (45), (51), (A16), and (D1)–(D3) have been fixed and an expression in the text below Eq. (D1) has been corrected.
See Also
Coulomb corrections for the nonflip and spin-flip electromagnetic amplitudes
Article Text
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