Hits to Firewall (ZA) after closing Lime . . .

[5230ft]

I have no problems with running the Lime Wire program. NO connection problems, down or ups. What I do question is:

After I close and exit the program, I get 1000's of illegal hits to my firewall (Zone Alarm) that it blocks. Restart doesn't change it. Shutdown doesn't change it. If I don't sign onto the gnutella network for couple days, it settles back to a "normal" amout of illegal hits of around 20 a day. These massive amount of hits can go on for 24,35,48 hours and in one or two cases longer. What's going on????