Corrections to the Elastic Proton-Proton Analyzing Power Parametrization at High Energies

Abstract

The HJET Polarized Atomic Hydrogen Gas Jet Target polarimeter (HJET) polarimeter was designed to measure the absolute polarization of the proton beams at the Relativistic Heavy Ion Collider. In these measurements, the small scattering angle elastic $pp$ single $A_N(t)$ and double $A_{NN}(t)$ spin analyzing powers can be precisely determined. The experimental accuracy achieved at HJET requires corrections to the $A_N(t)$ parametrization, conventionally used for such studies. In this paper we evaluate the corrections to the analyzing powers due to (i) the differences between the electromagnetic and hadronic form factors and (ii) the $m_p^2/s$ terms in the elastic spin-flip $pp$ electromagnetic amplitude. The corresponding alterations of the evaluated hadronic spin-flip amplitudes are about the same as the experimental uncertainties of the HJET measurements. The proposed corrections may have implications for the elastic $pp$ forward real-to-imaginary amplitude ratios $\rho$ determined in unpolarized $pp$ experiments.

arXiv comment6 pages, 3 figures

References in corpus (8)

• Benchmarks for the Forward Observables at RHIC, the Tevatron-run II and the LHC
• Extraction of the proton radius from electron-proton scattering data
• The spin dependence of high energy proton scattering
• Measurement of the analyzing power in pp elastic scattering in the peak CNI region at RHIC
• 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
• Bounds on the rise of total cross section from LHC7 and LHC8 data
• Probing the Pomeron spin-flip with Coulomb-nuclear interference

Cited by in corpus (8)

• Spin-dependent Pomeron and Odderon in elastic proton-proton scattering
• Systematic error analysis in the absolute hydrogen gas jet polarimeter at RHIC
• Coulomb phase corrections to the transverse analyzing power $A_N(t)$ in high energy forward proton-proton scattering
• 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
• On the possibility of measuring the polarization of a ${}^3\mathrm{He}$ beam at EIC by the HJET polarimeter
• Absorptive corrections to the electromagnetic form factor in high-energy elastic proton-proton scattering