A method for producing coolant-carrying electrode housings for hot plasma generated by gas discharge, wherein a discharge chamber is enclosed by and evacuated in a first and a second coaxial electrode housing and a work gas is introduced into the latter under a defined pressure, wherein the two electrode housings are electrically insulated from one another so as to resist dielectric breakdown by an insulator layer and have cooling channels, and the second electrode housing projects by a necked-down outlet into the first electrode housing to enable a gas discharge with an oppositely located region of the first electrode housing, comprising the steps of:
- drilling the cooling channels into the electrode housings in at least two different orthogonal planes relative to an axis of symmetry of the electrode housings radially inward proceeding from the outside to a distance of up to a few millimeters from the highly thermally stressed surfaces;
- and
- carrying out a necked-down channel portion substantially parallel to the axis of symmetry in such a way that it produces a connection channel of small diameter respectively between two cooling channels of different orthogonal planes in an end region of the radial cooling channels.