Are Jennifer Lopez and Bradley Cooper Dating?

By Mike Fleeman

Update Monday September 12, 2011 07:00 AM EDT Originally posted Sunday September 11, 2011 08:00 PM EDT

Jennifer Lopez and Bradley Cooper

Theo Wargo/WireImage

Bradley Cooper just can't stop the rumor mill.

After keeping close company with Olivia Wilde in May and then receiving an honor from Charlize Theron last week, The Hangover star is generating the most talk because of his dinner companion this weekend.

She was no other than the recently available Jennifer Lopez.

Although the Internet lit up with reports of a budding romance between Cooper, 37, and Lopez, 42, a source tells PEOPLE that the dinner Saturday at the New York restaurant Per Se was all business.

The pair, according to the source, are "in discussions regarding a project."