Days after news of their domestic violence-related arrests broke, singer-songwriter couple Paul Simon and Edie Brickell have released a new song. And a police report about their confrontation says Brickell told cops that Simon "broke her heart."

Yesterday, Brickell Tweeted a link to a song called, "Like To Get To Know You," and good friend Steve Martin retweeted it with "My good friends, Paul and Edie, respond to the headlines." The lyrics include "You share my heart you share my kids and my dog/ But I swear I don't know you at all/ You see my face every night every day/ But I swear you don't see me at all," "I see other couples all time/ Holding hands and laughing" and "I wouldn't trade places with anyone/ None of them/ 'Cause I'd like to get to know you again."

New Canaan police responded to a hangup 911 call traced to their property on Saturday night and ended up arresting Simon, 72, and Brickell, 47. Their lawyer said, "On a scale of 1 to 10, [the fight] was a 1," though there was some physical contact between the two. Simon and Brickell told a judge that they didn't need restraining orders: Simon said, "We had an argument which is atypical of us. Neither of us has any fear or any reason to feel threatened. I don’t feel like I need to be protected,” while Brickell said, "He’s no threat to me at all."

The Stamford Advocate obtained the police report:

Brickell, 47, told officers that the argument started when she confronted Simon, who was in their home's music studio. She said Simon, 72, cannot "handle being criticized in any manner and became confrontational with her," according to the document.

The report stated that he shoved Brickell and then called 9-1-1 after his wife slapped him in the face.

The Rock and Roll Hall of Famer sustained "a superficial cut to his ear" while his musician wife had "a small bruise on her right wrist," the report stated...

The couple told police that they were having a verbal argument that escalated, according to the document. Brickell told police Simon "was acting like a spoiled baby by calling 9-1-1 and that he did not care about their children."

...Police said Brickell had "a strong odor of alcohol on her breath" and became agitated at times. She alluded to there being other physical confrontations in the relationship, but she refused to elaborate or answer any questions, police wrote in the report.

Brickell also had a cop feel a bump on the back of her head, but cops didn't find evidence that Simon caused the bump or that the bump happened that night. Simon ended up spending the night at their Manhattan home.

The couple's lawyer Alan Cramer said, "It was a normal husband and wife discussion, and Paul didn't want to discuss it, and she wanted to discuss it. It's as simple as that. He kind of tried to leave, and she kind of blocked the door." He added, "Brickell is from Texas and he's from Queens. And you know what ... there are ways of settling things down in Texas and there are ways of settling things down in Queens."