Polarization buildup by spin filtering in storage rings

TL;DR

This paper investigates how polarization builds up in antiproton beams within storage rings through spin filtering, especially when the input rate of unpolarized particles is increased linearly over time.

Contribution

It extends existing models by analyzing polarization buildup with a linearly ramped input rate of unpolarized particles.

Findings

Derived differential equations for ramped input scenarios

Analyzed the impact of increasing input rate on polarization buildup

Provided insights into optimizing polarization processes in storage rings

Abstract

There has been much recent research into polarizing an antiproton beam, instigated by the recent proposal from the PAX (Polarized Antiproton eXperiment) project at GSI Darmstadt. It plans to polarize an antiproton beam by repeated interaction with a polarized internal target in a storage ring. The method of polarization buildup by spin filtering requires many of the beam particles to remain within the ring after scattering off the polarized internal target via electromagnetic and hadronic interactions. Sets of differential equations which describe the buildup of polarization by spin filtering in many different scenarios have recently been presented and solved. In this paper we add to this literature by investigating a scenario where unpolarized particles are input into the beam at a linearly increasing rate, i.e. the input rate is ramped up.