The present disclosure sets forth an axial piston pump with greatly improved throughput. The axial piston pump provides cylinders, antechambers, and fluid flow apertures which are uniquely shaped and dimensioned so as to increase the overall flowability and expulsion rate of the piston pump. By providing curvilinear transition zones and fluid flow apertures, the cylinders can be completely filled and pressurized even at the extremely high pressures and RPMs required by modern machines. Such machines may include front-end loaders, excavators, pipe layers, graders, and the like wherein such pumps can be used to power hydraulic cylinders moving the implements, work arms and other tools associated with such machines.