Can I sue my ex for the child abuse he inflicted on our son?

When my son was still an infant his father physically abused him by shaking him. My son suffered some brain damage and his father was convicted of child abuse. He spent time in jail but is out now. The abuse to my son resulted in some developmental delays that may be permanent, the doctors aren’t completely sure yet. My son requires assistance to do most daily activities and he will need special education when he goes to school. I have a lot of extra expenses because of what my son’s father did to him, including things like home health nurses, mobility devices to help my son walk, and frequent trips to the doctor. The Los Angeles child support office is going after my ex for child support now that he’s working again, but is there any way I can sue him for the extra expenses I incur and for the physical and emotional damage to my son, like pain and suffering?