1. Simulation of the bunching effect:
Turn-by-turn tracking of the ions
Linear map for transverse motion (determined by tunes)
Shift due to momentum spread in longitudinal direction
Cooling works as a “kick”
IBS could be included (not significant in the experiment)
Shrinking of dp/p shows the cooling effect
Modulation of charge density in z direction shows the bunching effect
Cooling is artificially improved by 100 times for fast simulation
Should be repeated using the real experimental parameters and cross check with the experimental data
Initial distribution
40,000 turn
80,000 turn