Hi Priya,
BI_PROCESS_PSAPROCESS - This is one of backend job which was triggered when your process chain info pack step was triggered.
BI_PROCESS_PSAPROCESS - this backend job name, was common for all PSA loads which are running on your server thru process chains.
Rather than checking one job name, you better to check respective info package job log details at SM37 bw side and as well as ECC side.
As long as info pack loading step runs at any process chian on your server, this progam keeps running. About this program no need to worry. as per the respective info package data will pull to PSA.
Thanks