updated 08/06/2012 AT 10:00 AM ET
•originally published 08/06/2012 AT 11:45 AM ET
The best antidote to rumors of a romance cooling off? How about a warm summer day in the park with the kids?
Last week, a source told PEOPLE that “she’s getting frustrated with him” and she’s increasingly “short-tempered when she’s around him.” But that was then.
“Enjoying the beautiful day with my coconuts at the park!! #dayoff #familia #LOVE,” the pop star and former American Idol judge wrote on Twitter, as a photographer snapped a pic of Smart carrying Emme.
Lopez, 43, with her hair pulled back in a bun and wearing a flowing blue-and-white sundress, looked relaxed and happy – a different image than that painted by sources who say she has grown short-tempered with Smart.
For his part, Smart, in cut-off jeans, sneakers and a white T-shirt, betrayed just the hint of a smile behind dark sunglasses.