Spin Observables for Polarizing Antiprotons

Abstract

Abstract. The PAX project at GSI Darmstadt plans to polarize an antiproton beam by repeated interaction with a hydrogen target in a storage ring. Many of the beam particles are required to remain within the ring after interaction with the target, so small scattering angles are important. Hence we concentrate on low momentum transfer (small t), a region where electromagnetic effects dominate the hadronic effects. A colliding beam of polarized electrons with energy sufficient to provide scattering of antiprotons beyond ring acceptance may polarize an antiproton beam by spin filtering. Expressions for spin observables are provided and are used to estimate the rate of buildup of polarization of an antiproton beam.

Helicity amplitudes and crossing relations for one-photon exchange antiproton proton reactions

“…(4.6) we arrive at the correct t channel amplitudes. We note here that using the crossing matrix and the expressions for the helicity amplitudes in the s channel may be used as an alternative route in accessing the equivalent expressions in the t channel [18,19].…”

“…As the helicity amplitudes for proton scattering in the t channel are known [18] we may use this matrix, Eq. (5.5) in order to verify the signs for the crossed channel amplitudes Eq.…”