A reciprocating-piston pump having an electromagnetically driveable reciprocating piston, which is mounted with a restoring spring, for feeding a liquid, an impact damper composed of an elastomer for damping an impact of the reciprocating piston at the end of a feed phase, a core flange which is situated opposite the reciprocating piston, with a gap which is dependent on the position of the reciprocating piston being provided between the reciprocating piston and the core flange. The kinetic energy of the reciprocating piston during an early feed interval of a feed phase is absorbed primarily by the restoring spring and the feed of the liquid, and in that the kinetic energy of the reciprocating piston during a late feed interval of a feed phase is absorbed primarily by the hydraulic damping of the liquid present in the gap.