Fusion at deep subbarrier energies: potential inversion revisited

Details Fusion at deep subbarrier energies: potential inversion revisited Fusion at deep subbarrier energies: potential inversion revisited

2008-11-15

arxiv.org/abs/0811.2414v1

Physics

Nuclear Physics

Nuclear Theory

8 pages, 5 figures. Uses aipxfm.sty. A talk given at the FUSION08: New Aspects of Heavy Ion Collisions Near the Coulomb Barrie

Scientific paper

10.1063/1.3108791

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.

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