Can you find your crash report & post most of it here (or copy it into a text document like textedit & include as an attachment here). If you double-click the report, console will open it. You'll find crash reports here: user account->Library->Logs->CrashReporter-> (look for LimeWire) & also, do you see many java crash logs in there?

I'm not very good at reading crash logs but someone else might be able to deciphor it.

Also, you can run the LW Console for a short time (perhaps 20 seconds) & include the report as a text attachment here. Instructions on how to use the LW console can be found in the LW Beta archives section.

These reports will hopefully show where the problem is.