# Fusion at deep subbarrier energies: potential inversion revisited

Abstract : For a single potential barrier, the barrier penetrability can be inverted based on the WKB approximation to yield the barrier thickness. We apply this method to heavy-ion fusion reactions at energies well below the Coulomb barrier and directly determine the inter-nucleus potential between the colliding nuclei. To this end, we assume that fusion cross sections at deep subbarrier energies are governed by the lowest barrier in the barrier distribution. The inverted inter-nucleus potentials for the $^{16}$O +$^{144}$Sm and $^{16}$O +$^{208}$Pb reactions show that they are much thicker than phenomenological potentials. We discuss a consequence of such thick potential by fitting the inverted potentials with the Bass function
Document type :
Conference papers

http://hal.in2p3.fr/in2p3-00339516
Contributor : Yvette Heyd <>
Submitted on : Tuesday, November 18, 2008 - 10:13:50 AM
Last modification on : Tuesday, May 4, 2021 - 11:26:07 AM

### Identifiers

• HAL Id : in2p3-00339516, version 1
• ARXIV : 0811.2414

### Citation

K. Hagino, N. Rowley. Fusion at deep subbarrier energies: potential inversion revisited. FUSION08: New Aspects of Heavy Ion Collisions Near the Coulomb Barrier, Sep 2008, Chicago, United States. ⟨in2p3-00339516⟩

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