Ab initio calculations of ${\mathit{g}}_{\mathit{j}}$ factors for Li, ${\mathrm{Be}}^{+}$, and ${\mathrm{Ba}}^{+}$

Atomic ${\mathit{g}}_{\mathit{j}}$ factors have been calculated for Li, ${\mathrm{Be}}^{+}$, and ${\mathrm{Ba}}^{+}$ with accurate relativistic wave functions obtained in the coupled-cluster single- and double-excitation approximation. Correlation due to the Coulomb as well as the Breit interaction is included. The results are -2.002 301 58(20), -2.002 262 77(50), and -2.002 491 1(30) for Li, ${\mathrm{Be}}^{+}$, and ${\mathrm{Ba}}^{+}$, respectively, which agree well with the experimental results -2.002 301 00(64), -2.002 262 36(33), and -2.002 490 6(12). The inclusion of the Breit interaction in the wave functions gives significant contributions to the final results.