The New Orleans chapter of the Robert Durst story has gotten national attention this week, and on Saturday, CBS News’ “48 Hours” will spotlight the case of the accused millionaire in a special program.

“48 Hours Presents: The Bizarre Saga of Robert Durst” will air Saturday at 9 p.m. on CBS and WWL-TV Channel 4.

Durst’s recent arrest in New Orleans for the murder of a friend 15 years ago was the latest twist in the life of a man surrounded by wealth and death.

In the program, CBS News correspondent Erin Moriarty will have new details in the investigation of the murder of Susan Berman and the disappearance of Kathie Durst.

It’s a case 48 HOURS has been reporting on for more than a decade that digs into the world of one of New York’s major real estate families and the life of a millionaire who once admitted to killing a neighbor and chopping up the man’s body.

But there’s more, the story of Robert Durst includes allegations about his missing wife, his alleged ties to the murder of Berman, and the police who have spent years trying to solve the case.

“I’m confident I know who killed her,” says retired Los Angeles Detective Paul Coulter, who had been chasing Durst since Susan Berman was found murdered. “I’m pretty confident,” Coulter adds, “it’s Bobby Durst.”

Berman was a vivacious and talented writer, with everything seemingly going her way. But then, in 2000, she was found shot dead in her home. She was the daughter for a well-known Las Vegas mobster, which initially led police to think she was a victim of a mob hit.

At the time of Berman’s death, Durst was hiding out in Galveston, Texas, to avoid then Westchester County District Attorney Janine Pirro, who wanted to talk with Durst about the 1982 disappearance of his wife. In Texas, Durst took on the identity of a mute woman.

Durst and Berman were friends and she publicly supported him from allegations he knew more about his wife’s disappearance than he had told police. Durst wasn’t considered a suspect in Berman’s death until nine months later when he was involved with the death of Morris Black in Galveston.Durst maintained he accidentally killed Black in self-defense. He then cut up Black’s body. A jury eventually acquitted him of murder.

Durst’s attorneys have maintained he didn’t kill Berman. Early on they suggested she was killed because she was going to write a tell-all about the mob.

Today, police think otherwise. Do they have enough to convince a jury that Durst had a hand in Berman’s death? Moriarty and “48 Hours” tell Durst’s story through new interviews with Coulter, Los Angeles Times writer Jack Leonard, Forensic Psychiatrist Dr. Alexander Sasha Bardey, New York Magazine writer Lisa DePaulo, and Berman friend Steven Silverman.

The broadcast also feature’s interviews with Berman’s friends, Kathie Durst’s brother, Jim, Galveston investigators and others.