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

Using the Bjorken-Mtingwa recipe [1] we derive general formulae for the three intrabeam scattering (IBS) growth rates, including non-ultrarelativistic terms and vertical dispersion. These formulae have been implemented in the most recent version of MAD-X. An application to the LHC illustrates the effect of crossing angles and detector fields on the vertical IBS growth rate. The increase of all three IBS growth rates for various LHC upgrade scenarios is also calculated. A third example, from the CLIC damping ring, demonstrates the importance of the spurious vertical dispersion generated by errors for the vertical IBS growth rate. Some limitations of this approach to intrabeam scattering are discussed. Geneva, Switzerland December 20, 2005