Abstract
The spin response function is determined by a collider’s magnetic lattice and allows one to account for contributions of perturbing fields to spin resonance strengths. The depolarizing effect of an incoming beam depends significantly on the response function value at the interaction point (IP). We present an analytic calculation of the response function for protons and deuterons at the IP of Jefferson Lab Electron Ion Collider (JLEIC) over its whole momentum range. We find a good agreement of the analytic calculation with our numerical modeling results obtained using a spin tracking code, Zgoubi.
Highlights
The spin response function is determined by a collider’s magnetic lattice and allows one to account for contributions of perturbing fields to spin resonance strengths
The response function in figure-8 colliders was used to calculate the coherent part of the resonance strength in the Jefferson Lab Electron Ion Collider (JLEIC) ion collider ring [3]
We got a good agreement [4] of this analytic calculation with numerical modeling results obtained using a spin tracking code, Zgoubi [5]
Summary
Is the average radial field of the incoming is the response function at the IP. MOPML007 400. Doi:10.18429/JACoW-IPAC2018-MOPML007 in principle, one can significantly reduce the impact of collisions on the beam polarization by adjusting the response function value at the IP to zero By the choice of lattice optics, one can zero out the value of the response function at the IP but its slope as well. This will allow one to significantly suppress the impact of the incoming bunch on the beam polarization. This problem is similar to that of designing an IP with zero dispersion and dispersion slope (see Fig. 2)
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