Enrollment of patients will be done from the consultations of Rheumatology, Radiology, Surgery and Physical and Rehabilitation Medicine Departments of each study center. Indeed, the inclusion visit will not be done by the physician who will perform the chemonucleolysis, or the surgeon in charge of the patient. After randomization, chemonucleolysis or surgery will be scheduled within the four next weeks. Patients undergoing chemonucleolysis will be hospitalized in day hospital of the Rheumatology / Surgery department of each study center. The procedure of chemonucleolysis will be performed in the corresponding Radiology department or in the usual department. Open discectomy will be performed during a conventional hospitalization in the Surgery department of each study center. Duration of the hospital stay will depend on patient's recovery after surgery. A duration of about one week is expected.