Effect of impedance and higher order chromaticity on the measurement of linear chromaticity

V. H. Ranjbar, C. Y. Tan
2011 Physical Review Special Topics. Accelerators and Beams  
The combined effect of impedance and higher order chromaticity can act on the beam in a nontrivial manner which can cause a tune shift which depends on the relative momenta w.r.t. the "on momentum" particle (∆p/p). Experimentally, this tune shift affects the measurement of the linear chromaticity which is traditionally measured with a change of ∆p/p. The theory behind this effect will be derived in this paper. Computer simulations and experimental data from the Tevatron will be used to support the theory.
doi:10.1103/physrevstab.14.082802 fatcat:pm3yixjlmrbhtnibjodzjul6aq