08/15/2011 at 11:00 AM EDT
How's this for a bundle of joy?
Rocker Matt Bellamy Tweeted out
the first photo of his son Bingham
on Sunday night, as the 5-week-old nestled with mom Kate Hudson
"Family life!" wrote Bellamy. How sweet it is!
Bing made his first public appearance on Sunday, too, as the family – including Hudson's son Ryder, 7 – caught a flight out of LAX.
But Hudson kept the newborn swaddled up and tight to her chest, so photographers wouldn't get a close-up.