Praise be to Allah the Lord of the Worlds.
It isn`t permissible for a Muslim to lease or rent his/her degree for investment in case he/she doesn`t supervise the activities of the center himself and doesn`t abide by rules and regulations.
A Muslim must be truthful since Allah the Almighty says: "O ye who believe! Fear God and be with those who are true (in word and deed)." {At-Tawbah, 119}. He/she must also abide by the rules and regulations pertaining to opening medical centers and which aim to achieve public interest. In addition, the Prophet (PBUH) says: "He who cheats us isn`t one of us." {Related by Muslim}.
Moreover, you will be held accountable, before Allah and law, for any mistake made in that facility. And Allah the Almighty knows best.