Radiative Relaxation Time of Longitudinal Polarization in the $2\times 3\times 5.7 ^0$ Central Arc Sheme for SuperB

TL;DR

This paper calculates the relaxation time of longitudinal electron polarization in the SuperB collider's arc scheme, considering synchrotron radiation effects, to evaluate polarization stability and scheme efficiency.

Contribution

It introduces a method to compute polarization relaxation time in the SuperB collider, accounting for beam energy and betatron oscillations, aiding polarization scheme assessment.

Findings

Calculated relaxation times depend on beam energy and oscillations.

Compared relaxation time with beam lifetime to evaluate polarization scheme efficiency.

Provided insights into optimizing electron polarization stability in collider design.

Abstract

We consider one of the variants of obtaining the longitudinal polarization of electrons in the SuperB HER at 7 GeV. The spin rotators include the solenoids. The time of polarization relaxation due to the SR processes in the bend magnets of the main arcs is calculated depending on the beam energy and taking into account betatron oscillations. A comparison of the radiation polarization relaxation time with the beam lifetime due to the high luminosity makes it possible to evaluate the efficiency of the longitudinal polarization scheme.