Feasibility study for precisely measuring the EIC ${}^3$He beam polarization with the Polarized Atomic Hydrogen Gas Jet Target polarimeter at RHIC

Abstract

The Polarized Atomic Hydrogen Gas Jet Target polarimeter (HJET) is used to measure the absolute proton beam polarization, ${\sigma }_P^{\text{syst}}/P\lesssim 0.5\%$, at the Relativistic Heavy Ion Collider. Here I consider the possibility of employing HJET to measure the ${}^3\text{He}$ ($h$) beam polarization at the Electron-Ion Collider (EIC). The dominant contribution to the ratio of the $h^{\uparrow }p$ and $p^{\uparrow }h$ analyzing powers, which is needed for such measurements, can be easily calculated using well-known values of the proton and helion magnetic moments, but some corrections should be applied to achieve the required accuracy. It was found that corrections due to absorption and ${}^3\text{He}$ breakup effectively cancel in the ratio and a correction due to hadronic spin-flip amplitudes can be derived from the proton beam measurements. As a result, the anticipated systematic uncertainty in the measured ${}^3\text{He}$ beam polarization can satisfy the EIC requirement ${\sigma }_P^{\text{syst}}/P\lesssim 1\%$.

arXiv comment8 pages, 2 figures

References in corpus (14)

• Benchmarks for the Forward Observables at RHIC, the Tevatron-run II and the LHC
• Precise Neutron Magnetic Form Factors
• Extraction of the proton radius from electron-proton scattering data
• The spin dependence of high energy proton scattering
• The Coulomb Phase Revisited
• Polarized Proton Nucleus Scattering
• Precision Small Scattering Angle Measurements of Elastic Proton-Proton Single and Double Spin Analyzing Powers at the RHIC Hydrogen Jet Polarimeter
• Systematic error analysis in the absolute hydrogen gas jet polarimeter at RHIC
• Leading components in forward elastic hadron scattering: Derivative dispersion relations and asymptotic uniqueness
• An absolute polarimeter for high energy protons
• Corrections to the Elastic Proton-Proton Analyzing Power Parametrization at High Energies
• Probing the Pomeron spin structure with Coulomb-nuclear interference
• 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

Cited by in corpus (3)

• Breakup corrections to the ${}^3$He beam polarization measurements at the future BNL Electron Ion Collider
• Polarization Measurements of $p^{\uparrow }$ and ${}^3$He${}^{\uparrow }$ Beams at RHIC and Future EIC Using the Polarized Atomic Hydrogen Gas Jet Target
• Breakup corrections to spin asymmetries in the ${}^3$He beam polarization measurements with the Polarized Atomic Hydrogen Gas Jet Target