Inversion formula for the internucleus potential using sub-barrier fusion cross sections

Subject to the assumption that sub-barrier fusion is described by an effective one-dimensional energy-independent local potential barrier, the Jeffreys-Wentzel-Kramers-Brillouin approximation for the fusion cross sections is inverted to determine this effective potential. Potential barriers, with their associated experimental errors, are presented for ¹³C+¹³C and ⁴⁰Ca+⁴⁰Ca, and the assumption of a local effective potential is shown to be inadequate for ⁶⁴Ni+⁶⁴Ni.NUCLEAR REACTIONS Inversion formula relating fusion cross sections to ion-ion potential.