Mixing strength in the two lowest 0 − states in Pb 208

With a resolution of 3 keV, the two lowest ${0}^{\ensuremath{-}}$ states in $^{208}\mathrm{Pb}$ are identified by measurements of the reaction $^{207}\mathrm{Pb}$$(d,p)$ with the M\"unchen Q3D magnetic spectrograph in the region ${E}_{x}=5.2\text{\ensuremath{-}}5.7$ MeV where the average level spacing is 6 keV. Precise relative spectroscopic factors are determined. Matrix elements of the residual interaction among one-particle one-hole configurations in a two-level scheme are derived for the two lowest ${0}^{\ensuremath{-}}$ states in $^{208}\mathrm{Pb}$. The off-diagonal mixing strength is determined as $110\ifmmode\pm\else\textpm\fi{}10\phantom{\rule{0.3em}{0ex}}\text{(experimental)}\ifmmode\pm\else\textpm\fi{}15\phantom{\rule{0.3em}{0ex}}\text{(systematic)}$ keV. Measurements of the reaction $^{208}\mathrm{Pb}$$(p,{p}^{'})$ via isobaric analog resonances in $^{209}\mathrm{Bi}$ support the structure information obtained.