Marc Anthony and Jennifer Lopez Getting Along Post Split

Jennifer Lopez and Marc Anthony have found the secret to getting along — splitting up.

Sources very close to the former couple tell TMZ … months before the breakup, there was virtual radio silence between the two.  We’re told when they did talk, it was loud and contentious … often ending in tears on Jennifer’s part.

But since the split, we’re told their bond has materially strengthened.  They are communicating and co-parenting well and not fighting at all.

We’re told they’re actually happy to do joint appearances for their new show, as well as charity work.

Sources say a number of people around them are saying there are signs of a possible reconciliation, although it is by no means certain.