No. 57 (00173) Family name : MacLachlan Given name : James A. Affiliation : Fermi National Accelerator Laboratory Abbreviation : Fermilab E-mail address : maclachlan@fnal.gov Title : Evaluation of Longitudinal Emittance Growth Caused by Negative Mass Instability in Proton Synchrotrons Authors : James A. MacLachlan Abstract : The theory of negative mass instability in proton synchrotrons has been regarded as established for about thirty years, but both accurate calculations and solid beam observations for real cases have been difficult and practically non-existent. The wider availability of so-called computing farms has made credible macroparticle simulations practical for routine use. The comparison of a macroparticle model with the existing theory indicates interesting discrepencies, although the theoretical threshold is confirmed. That comparison and code validation for the model are discussed in the context of practical specific cases.