Sudden- or Frozen-density approximation in Semi-classical extended Thomas Fermi model for Wong formula used in 64Ni+64Ni reaction

Abstract

The {\ell}-summed Wong expression is applied in the semiclassical extended Thomas Fermi (ETF) method of Skyrme energy density formalism (SEDF), using both the sudden and frozen-density approximations, to the case of 64Ni+64Ni reaction data. We find that a very much improved fit (almost exact, point to point) to the data is obtained for the frozen-density approximation with {\ell}max (Ec.m.) varying smoothly. On the other hand, the same could not be achieved in the sudden case, still requiring a modification of the barrier at both the below- and above-barrier energies. This result means to say that the phenomenon of hindrance, observed in coupled channel calculations for 64Ni+64Ni reaction, could be explained simply on the basis of the {\ell}-summed Wong expression, at least for the frozen-density approximation in ETF method of SEDF.