structure in 2p2h states to give rise to a deviation from the GOE fluctuation. We, here, would like to investigate whether whole 2p2h states are rather equally coupled with the GQR TD state or whether there are specific states in 2p2h states which strongly couple with that state.

As a candidate of such specific states, we can consider the low-energy surface vibration plus 1p1h states: In Refs. [@bertsch2; @bertsch; @broglia; @bortignon; @lacroix2], the importance of the coupling to the surface vibration in the wide range of damping phenomena including the damping of a single particle motion as well as that of giant resonances was discussed. As for the giant resonance, which is composed of a coherent superposition of 1p1h states, this means that the damping occurs via the coupling with the specific 2p2h states, namely, the surface vibration plus 1p1h (s.v.+1p1h) states.

Since our model does not assume the particle-vibration coupling a priori, it is not trivial whether our model also has a mechanism that enhances the coupling with the low-energy surface vibration. Therefore, we would like to study whether the s.v.+1p1h states are particularly strongly coupled with the GQR TD state within our model. To do so, we calculate 