Kiumars;
There is no list that I am aware of to direct you to a specific steel making process for pressure vessel steels other than what is specified in the ASME Boiler and Pressure vessel Code, SA material specifications in Section II. The selection of a pressure vessel steel will depend on service requirements. The ASME material specifications take into account exposure of the material to either low or high temperature/pressure service, and steel making requirements are specified for this type of service duty (i.e., fine grained versus coarse grain, melting practice for steel production, etc).