Coulomb phase corrections to the transverse analyzing power $A_N(t)$ in high energy forward proton-proton scattering

Abstract

Study of polarized proton-proton elastic scattering in the Coulomb-nuclear interference region allows one to measure the forward hadronic single spin-flip amplitude including its phase. However, in a precision experimental data analysis, a phase shift correction ${\delta }_C$ due to the long distance Coulomb interaction should be taken into account. For unpolarized scattering, ${\delta }_C$ is commonly considered as well established. Here, we evaluate the Coulomb phase shifts for the forward elastic proton-proton single spin-flip electromagnetic and hadronic amplitudes. Only a small discrepancy between the spin-flip and non-flip phases was found which can be neglected in the high energy forward elastic $pp$ studies involving transverse spin. Nonetheless, the effective alteration of the hadronic spin-flip amplitude by the long distance electromagnetic corrections can be essential for interpretation of the experimental results.

5 pages, 1 figure

References in corpus (3)

• Single Spin Asymmetry $A_N$ in Polarized Proton-Proton Elastic Scattering at $\sqrt{s}=200$ GeV
• Precision Small Scattering Angle Measurements of Elastic Proton-Proton Single and Double Spin Analyzing Powers at the RHIC Hydrogen Jet Polarimeter
• Corrections to the Elastic Proton-Proton Analyzing Power Parametrization at High Energies

Cited by in corpus (4)

• Breakup corrections to the ${}^3$He beam polarization measurements at the future BNL Electron Ion Collider
• Feasibility study for precisely measuring the EIC ${}^3$He beam polarization with the Polarized Atomic Hydrogen Gas Jet Target polarimeter at RHIC
• Polarization Measurements of $p^{\uparrow }$ and ${}^3$He${}^{\uparrow }$ Beams at RHIC and Future EIC Using the Polarized Atomic Hydrogen Gas Jet Target
• Numerical Calculation of Coulomb Corrections in Forward Elastic $p^{\uparrow }p$ and $p^{\uparrow }A$ Scattering