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We discuss anharmonicity of the multi-octupole-phonon states in $^{208}$Pbbased on a covariant density functional theory, by fully taking into accountthe interplay between the quadrupole and the octupole degrees of freedom. Ourresults indicate the existence of a large anharmonicity in the transitionstrengths, even though the excitation energies are similar to those in theharmonic limit. We also show that the quadrupole-shape fluctuationsignificantly enhances the fragmentation of the two-octupole-phonon states in$^{208}$Pb. Using those transition strengths as inputs to coupled channelscalculations, we then discuss the fusion reaction of $^{16}$O+$^{208}$Pb atenergies around the Coulomb barrier. We show that the anharmonicity of theoctupole vibrational excitation considerably improves previous coupled-channelscalculations in the harmonic oscillator limit, significantly reducing theheight of the main peak in the fusion barrier distribution.

physical review. c

Anharmonicity of multi-octupole-phonon excitations in $^{208}$Pb:  analysis with multi-reference covariant density functional theory and  subbarrier fusion of $^{16}$O+$^{208}$Pb