NASHVILLE, Tenn. – Shot twice in the head and two more times in the chest, former NFL quarterback Steve McNair was the victim of a homicide, police declared Sunday. But authorities wouldn’t say it was a murder-suicide — even with his 20-year-old girlfriend dead at his feet from a single bullet.

McNair had been dating Saleh Kazemi for several months, and Nashville police spokesman Don Aaron said Sunday that a semiautomatic pistol was found under her body. She was shot in the head.

McNair, who was married with four sons, had a permit to carry a handgun in Tennessee, and he was arrested once before with a 9mm weapon although charges in the case were dropped. Police said they had not yet determined who owned the gun found at the scene.

Investigators weren’t looking for a suspect but were questioning friends of the couple as well as Kazemi’s ex-boyfriend. They were also waiting for results of drug and other laboratory tests before deciding whether McNair was killed in a lovers’ quarrel.