Structure of negative parity states at 6 ≲ E${}_x$< 7.0 MeV in ${}^{208}$Pb

In the doubly magic nucleus ${}^{208}$Pb states at excitation energies 6 ≲ E${}_x$< 7.0 MeV populated by the inelastic proton scattering via the doublet isobaric analog resonances g${}_{7/2}$+d${}_{3/2}$ in ${}^{209}$Bi are studied. Sixteen states containing dominant strengths of the configurations g${}_{7/2}$p${}_{3/2}$, d${}_{3/2}$p${}_{3/2}$, g${}_{7/2}$f${}_{5/2}$, d${}_{3/2}$f${}_{5/2}$ are newly assigned spins from 2${}^{-}$ to 6${}^{-}$, among them ten states are newly identified. Amplitudes with relative signs of up to four one-particle one-hole configurations with strengths down to 0.05% are determined in 40 states with spins from 1${}^{-}$ to 6${}^{-}$. Amplitudes of configurations d${}_{3/2}$p${}_{1/2}$, d${}_{3/2}$p${}_{3/2}$, d${}_{3/2}$f${}_{5/2}$ for fourteen states and amplitudes of g${}_{7/2}$p${}_{1/2}$, g${}_{7/2}$p${}_{3/2}$, g${}_{7/2}$f${}_{5/2}$ for twenty-seven states are determined. Total strengths up to the full strength are found for configurations d${}_{3/2}$p${}_{1/2}$, d${}_{3/2}$p${}_{3/2}$, d${}_{3/2}$f${}_{5/2}$ with spins from 1${}^{\text{â}}\text{ˆ}\text{’}$ to 3${}^{\text{â}}\text{ˆ}\text{’}$ and for g${}_{7/2}$p${}_{1/2}$, g${}_{7/2}$p${}_{3/2}$, g${}_{7/2}$f${}_{5/2}$ with spins from 1${}^{-}$ to 6${}^{-}$.