A radial roller bearing shafts in wind turbine transmissions, which includes an external bearing ring with an inner runway, an internal bearing ring arranged coaxial thereto which has an outer raceway and roller bodies on runways between bearing rings spaced circumferentially by a bearing cage and distributed uniformly on a circumference replaced by hollow rollers. To prevent slip, the hollow rollers have a greater diameter and lower modulus of elasticity ensuring, in a load-free state, continuous contact by the radial roller bearing with the bearing rings and continuous drive for the bearing cage and roller bodies at kinematic rotation speed. The hollow rollers have increased bending fatigue strength, and their inner envelope surfaces are formed by mechanical processing for further inherent compression stresses of at least −200 MPa, superimposed on the hollow rollers maximum load stress along with the inherent compression stresses resulting from their heat treatment.