Processing tool, particularly a roll tool, and method of processing a cylindrical sliding surface

A processing tool for processing a surface of a workpiece, comprising:

• a tool body which defines a tool axis;
• at least one first roll element, which is carried by the tool body, is rotatable around a first roll element axis and has a first outer surface with a surface structure in at least one first working section configured for rolling contact with the workpiece surface;
• at least one second roll element, which is carried by the tool body, is rotatable about a second roll element axis and has a second outer surface that, in at least one second working section configured for a rolling contact with the workpiece surface, has a distance (r2) to the tool axis, which is less than a distance (r1) of the at least one first working section to the tool axis;
• and
• at least one first cage receptacle for the at least one first roll element, and at least one second cage receptacle for the at least one second roll element,
• wherein, in an axial direction, the at least one first cage receptacle has a longitudinal extent parallel to the first roll element axis that is greater than a longitudinal extent of the at least one first roll element so that the at least one first roll element is axially displaceable a predeterminable amount, and
• wherein the surface structure in the at least one first working section is rougher than the at least one second working section of the second roll element.