N.J. Stat. § 43:3C-3
Notwithstanding any other law to the contrary, if a former member of any pension fund or retirement system, contributory or noncontributory, established under any law of this or any other state, who has been granted a pension or retirement allowance for any cause other than vesting or deferred retirement, becomes employed again in an elected public office which makes him eligible to be a member of the same or any other pension fund or retirement system established under any law of this State, such person shall have the option to choose either to be reenrolled in the same fund or system or enrolled in such other pension fund or retirement system or to continue to receive said pension or retirement allowance and any death benefit as a result of his former membership irrespective of his position as an elected public officer.
N.J.S. § 43:3C-3