Ronni Chasen Slay: "Classic Hollywood Whodunit"

It's a murder mystery that has all of Hollywood buzzing.

Sixty- four year old publicist to the stars Ronni Chasen died violently, shot multiple times in the chest while driving home from a movie premiere Tuesday.

It happened in the middle of a multimillion dollar Beverly Hills neighborhood -- a drive she made nearly every day, reports CBS News Correspondent Ben Tracy, adding, "so far, police are stumped."

Beverly Hills Police Lt. Tony Lee says, "We don't have a motive right now. We don't have any suspect information."

It is, former Los Angeles Police Chief Bill Bratton told "Early Show" co-anchor Harry Smith Thursday, "a classic Hollywood whodunit."

Although no shell casings were found at the scene, sources close to the investigation tell CBS News they believe Chasen was shot while waiting to make a left turn, and the passenger window was blown out. After the barrage of bullets, Chasen floored the gas pedal, slamming her car into a pole.

"I think this was a professional job," says CBS News legal analyst Lisa Bloom. "It may have been a hit man who was hired by somebody who was out to get her, somebody who had a vendetta against her."

Chasen was gunned down after midnight Tuesday. She'd just left the premiere of the movie "Burlesque."

A fixture in Hollywood since the 1970's, Chasen handled publicity for films such as "Driving Miss Daisy" and "On Golden Pond."

"She had the most famous clients in the world," says Parade magazine West Coast Editor Jeanne Wolf, "and she treated them like relatives she had to take care of."

Chasen's specialty was positioning actors and films for Oscars. Most recently, she was promoting Michael Douglas for "Wall Street: Money Never Sleeps."

"People called me up and were crying or feeling ill from the shock of it," says Kim Masters of The Hollywood Reporter.

Chasen was apparently working until the very end, Tracy says. Just minutes before she was shot, she reportedly had called her office and left a voicemail, reminding her of things she needed to do the next day.

Police are combing through Chasen's computer files in their search for clues.

They're also hoping surveillance cameras in the area may have captured images of the killer.

"You have red light cameras," Bratton explained to Smith. " … You have cameras in the vicinity of stores. You have -- that's a high-security neighborhood. Everybody has some type of security on their property there."

Bratton says investigators start "with a blank slate. And the scenarios are, Los Angeles, possible (random) gang drive-by, (but) Beverly Hills, very unlikely. Road rage, very potentially likely in a lot of those incidents in California and Los Angeles. A crime of passion, somebody who knew her -- they have not determined, to the best of my knowledge, as to whether there was possibly somebody else in the car. Fourth could be the idea of an unintended consequence, that she was killed and they were looking for somebody else."

If the report is true about the voicemail Chasen left with a list of things to do the next day, that might provide some leads, Bratton suggested.