An air carrier pilot reported temporary loss of control due to severe turbulence encounter.

Narrative

Operating flight ABCD from ZZZ to ZZZ1 with XX pax and X crew. On the runway (XXR) the radar was showing a full display of yellow and green precipitation on our departure flight path. We had a tilt of approximately 6 to 7 degrees up. There were no reports of severe turbulence from ATC or other aircraft; however; all previous departures were to the northeast. Once airborne and into the clouds we encountered light and moderate turbulence. I continued to hand fly the aircraft and the FO managed the FCU (Flight Control Unit) as we were given a turn to 150. The FO adjusted the radar appropriately as we climbed. The radar began to show small spots of red and magenta in a field of mostly yellow and some green. I hand flew the aircraft to avoid any red or magenta while in the turn to heading 150. Passing 4000 feet the turbulence increased to all moderate chop and turbulence. I noticed the airspeed increasing and adjusted pitch in an attempt of maintaining 250kts. The airspeed was approaching 260kts with vertical speed indicating up to 6000 fpm and an amber indicator. I said that we must be in an updraft to the FO. Shortly after; we encountered a mix of severe and moderate turbulence.I began to have difficulty focusing my eyes on the PFD (Primary Flight Display) and ND (Navigation Display) due to the turbulence so I engaged the autopilot and continued to monitor the PFD and ND as best I could. We briefly encountered turbulence that pushed us down into our seats followed by a feeling of lightness. The severe turbulence encountered was between 5000 and 9000 feet. I delayed the 10000 foot notification until we were out of the precipitation; approximately 12600 feet. Afterwords I called the cabin crew to ask if everyone was ok and advise that we were out of the precipitation and area of greatest turbulence. They advised me that all crew and pax (passengers) were unharmed but scared for a bit. After the encounter I notified our dispatcher and Maintenance Controller of the severe encounter. The reply from dispatch was Maintenance Controller WANTS TO KNOW IF IT WAS SEVERE OR BAD MOD AND WHAT MAKES YOU THINK ITS SEVERE DUE TO THE LARGE INSPECTION REQUIRED. FROM RA". A logbook entry was made for the severe turbulence encounter"