Which oil pump did you install? What was the oil pressure before the pump swap?
Low oil pressure will be caused by either lack of volume coming out of the pump or the engines tolerances (bearing clearance's, check valves open, lifters, etc) unable to maintain the desired pressure.
If we assume the pump is good then it'll be:
- check valve in the pan (unlikely)
- wrong oil filter (guessing not this)
- bearing clearances to big (cam bearings are also known to move over and cause this)
- lifters letting oil by (pins jamming)
those would be where I'd start to look