Ex threatening to talk to paramour's children

My former paramour and I are planning to marry when his divorce is final later this year. My ex, who is aware of our affair, is threatening to tell the paramour’s children about our affair and that we are both bad people, etc in an attempt to alienate them from myself and their parent. Is there any recourse if he does this? My ex doesn’t know these children at all and they do not even know he exists. They are 11, 13, and 15 years old.

There is no recourse for your ex-husband’s behavior. To my knowledge, he is not committing any crimes if he does this, and while there are sometimes provisions in custody agreements and orders that prohibit the parties from stating disparaging remarks about the other, those provisions usually only cover the minor children, not 3rd parties similar to these children.