Manifestation of the nuclear anapole moment in $\boldsymbol{M1}$ transitions in thallium

We calculate nuclear spin-dependent parity non-conserving $E1$-amplitudes for optical transition $6p_{1/2,F}\rightarrow 6p_{3/2,F'}$ and for hyperfine transition $6p_{1/2,F} \to 6p_{1/2,F'}$ in $^{205}$Tl. Experimental limit on the former amplitude placed by Vetter et al. [PRL 74, 2658 (1995)] corresponds to the anapole moment constant $\kappa_a = -0.26 \pm 0.27$.