Abstract. Using the high-resolution Q3D magnetic spectrograph at the Maier-Leibnitz Laboratory (MLL) Tandem accelerator in Munich, we studied 0 + excitations in the mercury isotopes 198 Hg, 200 Hg, and 202 Hg after two-neutron transfer. We only observed 4-6 excited 0 + states per nucleus up to about 3-MeV excitation energy, far fewer than in other experiments of this (p, t) campaign. The results reveal a sharp drop in the number of low-lying 0 + states towards the 208 Pb shell closure. We discuss the low-energy 0 + state density as a function of the valence nucleon number N val . The 0 + excitation energies and the measured (p, t) transfer cross sections indicate a structural change throughout the Hg isotopes, with the most notable result being the peaking in the cross section of the low-lying excited 0 + 2 state in 200 Hg.