Blackbody radiation shift for the $^1$S$_0$--$^3$P$_0$ optical clock transition in zinc and cadmium atoms

Black-body radiation (BBR) shifts of $^3!P_0-^1!S_0$ clock transition in divalent atoms Cd and Zn are evaluated using accurate relativistic many-body techniques of atomic structure. Static polarizabilities of the clock levels and relevant electric-dipole matrix elements are computed. We also present a comparative overview of the BBR shifts in optical clocks based on neutral divalent atoms trapped in optical lattices.