Further investigation of $g$ factors for the lead monofluoride ground state

We report the results of our theoretical study and analysis of earlier experimental data for the $g$-factor tensor components of the ground ${}^2{\mathrm{\Pi }}_{1/2}$ state of the free PbF radical. The values were obtained both within the relativistic coupled-cluster method combined with the generalized relativistic effective core potential approach and with our fit of the experimental data from [R. J. Mawhorter, B. S. Murphy, A. L. Baum, T. J. Sears, T. Yang, P. M. Rupasinghe, C. P. McRaven, N. E. Shafer-Ray, L. D. Alphei, and J.-U. Grabow, Phys. Rev. A 84, 022508 (2011); A. L. Baum, B.A. thesis, Pomona College, 2011]. The obtained results agree very well with each other but contradict the previous fit performed in the cited works. Our final prediction for $g$ factors is $G_{\parallel }=0.081\left(5\right),G_{\perp }=-0.27\left(1\right)$.