Many Body Corrections to Nuclear Anapole Moment

The many body contributions to the nuclear anapole moment of $^{133}$Cs, $^{205}$Tl, $^{207,209}$PB, and $^{209}$Bi from the core polarization are calculated in the random-phase approximation with the effective residual interaction. Strong reduction of a valence nucleon contribution was found provided by the core polarization effects. The contribution of the core particles to the anapole moment compensates this reduction to large extent keeping the magnitude of nuclear anapole moment close to its initial single particle value.