A coaxial connector for interconnection with a coaxial cable with a solid outer conductor by laser welding is provided with a monolithic connector body with a bore. A sidewall of the bore is provided with an inward annular projection angled toward a cable end of the bore. A sidewall of the inward annular projection and the sidewall of the bore form an annular laser groove open to a cable end of the bore. The annular laser groove is dimensioned with a taper at a connector end of the laser groove less than a thickness of a leading end of the outer conductor. The taper provides an annular material chamber between the leading end of the outer conductor, when seated in the laser groove, and the connector end of the laser groove.