Collisions of non-topological solitons, Q-balls, are studied in a typical p
otential in the Minimal Supersymmetric Standard Model where supersymmetry h
as been broken by a gravitationally coupled hidden sector. Q-ball collision
s are studied numerically on a two dimensional lattice for a range of Q-bal
l charges. Total cross-sections, as well as cross-sections for fusion and c
harge-exchange are calculated. The average percentage increase in charge ca
rried by the largest Q-ball after a collision is found to be weakly depende
nt on Uhe initial charge. (C) 2000 Elsevier Science B.V. All rights reserve
d.