$T_c$ for non-$s$-wave pairing superconductors correlated with coherence length and effective mass

For unconventional heavy fermion superconductors, typified by ${\mathrm{UBe}}_{13},$ the superconducting transition temperatures $T_c$ are shown to correlate with a characteristic energy ${ħ}^2{/(m}^{*}{\xi }^2{),m}^{*}$ being the effective mass, and $\xi$ the coherence length. For four of the six materials for which $T_c,$ $m^{*},$ and $\xi$ are available, $k_B{T}_c\sim 20{ħ}^2{/(m}^{*}{\xi }^2).\mathrm{}$ One heavy fermion material, ${\mathrm{UPd}}_2{\mathrm{Al}}_3,$ reveals a tendency for the above linear behavior to saturate at substantially larger ${ħ}^2{/(m}^{*}{\xi }^2)$ than for ${\mathrm{UBe}}_{13}.$ The sixth material considered, ${\mathrm{URu}}_2{\mathrm{Si}}_2,$ falls between ${\mathrm{UBe}}_{13}$ and ${\mathrm{UPd}}_2{\mathrm{Al}}_3.$ To embrace d-wave pairing in cuprates, a $\log -\log$ plot reveals that $k_{\mathrm{B}}{T}_c\sim {ħ}^2{/(m}^{*}{\xi }^2),$ but more materials for which $m^{*}$ and $\xi$ are measured will be required to substantiate the correlation in these high-$T_c$ substances.