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Abstract
I demonstrate that the coordinate dependence of the coupling strengths of colliding nuclei is important for describing the deep sub-barrier fusion hindrance. To this end, I firstly show the performance of an extended coupled-channel model by phenomenologically introducing a damping factor in the coupling potential. The damping factor stimulates the damping of quantum vibrations occurring near the touching point of colliding nuclei and introduce a coordinate dependence in the coupling strengths. Next, I directly show the coordinate dependence of the transition strengths of colliding nuclei by microscopically calculating excited states using the random phase approximation method. The obtained transition strengths of colliding nuclei as a function of the center-of-mass distance strongly correlate with the damping factor that reproduces very well the fusion hindrance. This is a direct justification for the concept of the coordinate-dependent coupling strengths. Finally, I conclude that the damping of quantum vibrations near the touching point is the universal mechanism for the deep sub-barrier fusion hindrance.
Highlights
At extremely low incident energies, called the deep subbarrier energies, the steep fall-offs of fusion cross sections compared to the estimations of the standard coupledchannel (CC) model have been observed in a wide range of mass systems
An important observation for understanding this fusion hindrance is that the potential energy at the touching point of the colliding nuclei strongly correlates with the threshold incident energy for the emergence of the fusion hindrance
In this paper, I would like to stress that the treatment of the coupling potential in the overlap region is much important for describing the deep sub-barrier fusion hindrance
Summary
At extremely low incident energies, called the deep subbarrier energies, the steep fall-offs of fusion cross sections compared to the estimations of the standard coupledchannel (CC) model have been observed in a wide range of mass systems (see Ref. [1] for details). The fusion hindrance would be associated with dynamics in the overlap region of the two colliding nuclei The other is the adiabatic approach proposed by Ichikawa et al [6] In this approach, neck formations between the colliding nuclei are taken into account in the overlap region. Neck formations between the colliding nuclei are taken into account in the overlap region Based on this picture, the sudden and adi-. In this paper, I would like to stress that the treatment of the coupling potential in the overlap region is much important for describing the deep sub-barrier fusion hindrance.
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