You are not going to believe the object police thought was a gun.
I found this inline via OLR Reserch reports STATUTORY STANDARDS FOR USING DEADLY PHYSICAL FORCE
The law authorizes law enforcement officers to use deadly physical force only when they reasonably believe it is necessary to:
1. defend themselves or a third person from the use or imminent use of deadly physical force or
2. make an arrest or prevent the escape from custody of a person whom they reasonably believe has committed or attempted to commit a felony involving the infliction or threatened infliction of serious physical injury and, where feasible, they have given warning of their intent to use deadly physical force (CGS § 53a-22 (c)).