The three fatally shot are:
He and another officer had encountered two suspects when one of them pulled out a weapon and fired. The officers and one of the suspects were shot. A second suspect was taken into custody.
The 44-year-old Carter later died of his injuries, police said. The second officer is in critical condition.
Carter had been with the Birmingham Police Department since 2011 and had been promoted to sergeant in February 2018, police said.
He started his law enforcement career in 2002 as a correctional officer with the Shelby County Sheriff's Office and served as an officer for the Leeds and Fairfield police departments before transferring to Birmingham, the police department said.
He is survived by his wife and two children.
After shooting Corona, the suspect reloaded his gun and shot at a firefighter and a fire truck that were also responding to the traffic collision. Then he fled.
A manhunt ended hours later when police found the suspected shooter dead with a self-inflicted gunshot wound at a home in Davis.
Corona was a rookie police officer whose father is a retired Colusa County sheriff's sergeant.
No one has been arrested in the shooting, and it is not known what led to the killing, police said. Payne was hired in July as an academy cadet and graduated in November.
"We have lost one of our own. She was young, and she was beautiful. She was proving herself to be a capable professional, dedicated to serving the Citizens of Shreveport," the Shreveport Police Officers Association said.
CNN's Joe Sutton, Susannah Cullinane and Jason Hanna contributed to this report.