Revision of Intrabeam Scattering with Non-Ultrarelativistic Corrections and Vertical Dispersion for MAD-X

Using the Bjorken-Mtingwa formalism [1] we derive general expressions for the three intrabeam scattering (IBS) growth rates, including non-ultrarelativistic terms and vertical dispersion. These formulae have been implemented (and corrected) in the most recent version of MAD-X. An application to the Large Hadron Collider (LHC) illustrates the effect of crossing angles and detector fields on the vertical IBS growth rate. The IBS growth rates are also calculated for an LHC upgrade optics. A third example, from the damping ring of the Compact Linear Collider (CLIC), demonstrates the importance of the spurious vertical dispersion generated by orbit errors for the vertical IBS growth rate. A model of the Swiss Light Source (SLS) is used as a fourth example to demonstrate the importance of the spurious vertical dispersion for the vertical IBS growth rate in a regime where IBS is weak. Finally, some limitations of this approach to intrabeam scattering are discussed.