The 30-year-old Hamels already had impressive accomplishments on his resume — in 2008, he was the MVP of the World Series and the NL championship series, and he's a three-time All-Star.
Now, the lefty can claim part of a no-no, too.
Diekman struck out two and Giles fanned three before Papelbon took over.
Kevin Millwood and five Seattle relievers teamed up to pitch the previous combined no-hitter, against the Dodgers in 2012. The first combined no-hitter came in 1917 when Babe Ruth walked the first Washington batter of the game and was ejected, and Boston Red Sox reliever Ernie Shore didn't allow another runner.
Roy Halladay pitched the previous two Phillies no-hitters — he threw a perfect game against the Marlins in 2010, then threw a no-hitter the same year in the playoffs against Cincinnati.
It was 12th no-hitter in Phillies history, and the first combined effort. The last pitcher to no-hit the Braves was Ubaldo Jimenez of Colorado in 2010.
Ben Revere tripled and drove in a career-high five runs. The leadoff man started the day with 15 RBIs this season.
Hamels factored in the Phillies' first two runs. He sacrificed a runner to third in the third inning, and led off the sixth with a single and scored from second on Rollins' triple.
Atlanta, which had won 11 of 15, began the day 1½ games back in the NL wild-card race. Jason Heyward drew two walks and stole three bases. The struggling Braves' offense has scored one run in the last three games.
"The game of baseball's kind of funny," Atlanta manager Fredi Gonzalez said. "You feel like you've hit a good stride and all of a sudden you go through a stretch where you score one run in 27 innings, and you're lucky enough to win one of those games."
Julio Teheran (13-10) gave up five hits and five runs — two earned — with four walks in 6 2-3 innings. He left after Revere's bases-loaded triple made it 5-0 in the seventh. Shortstop Andrelton Simmons' error set up the runs.
Philadelphia has won Hamels' last five starts against the Braves. He owns an 0.97 ERA and four victories in that span.
Phillies: RHP Kyle Kendrick (7-11) starts Tuesday vs. Atlanta. He has a 6.55 ERA over his last nine starts. ... Braves LHP Mike Minor (6-8) is winless with two losses and a 2.77 ERA in two starts against Philadelphia this year.