A member of a State or local retirement or pension system may transfer service credit attained as a result of that membership to another State or local retirement or pension system if the member, without incurring a break in employment, accepts employment or an office that: requires or allows the member to participate in the new system; and does not allow the member to continue to accrue benefits in the previous system. A former member of a State or local retirement or pension system may transfer service credit attained as a result of the former membership to another State or local retirement or pension system if: the former member served as an elected or appointed official while a member of the previous system; the former member is serving as an elected or appointed official of the State when the former member requests the transfer of service credit; a break in employment occurred that prevents the former member from transferring service credit under subsection (a) of this section; and the former member’s current office: requires or allows the member to participate in the new system; and does not allow the member to continue to accrue benefits in the previous system.