Accuracy evaluation of an optical lattice clock with bosonic atoms

We report what we believe to be the first accuracy evaluation of an optical lattice clock based on the ${}^{1}S_0\to {}^{3}P_0$ transition of an alkaline earth boson, namely, ${}^{88}\mathrm{Sr}$ atoms. This transition has been enabled by using a static coupling magnetic field. The clock frequency is determined to be $429228066418009\text{(}32\text{)}\mathrm{Hz}$. The isotopic shift between ${}^{87}\mathrm{Sr}$ and ${}^{88}\mathrm{Sr}$ is $62188135\mathrm{Hz}$ with fractional uncertainty $5\times {10}^{-7}$. We discuss the necessary conditions to reach a clock accuracy of ${10}^{-17}$ or less by using this scheme.