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arXiv · 1010.3551

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

Raj Kumar·Raj K. Gupta
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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.

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Raj Kumar, Raj K. Gupta. 2010-10-18. Sudden- or Frozen-density approximation in Semi-classical extended Thomas Fermi model for Wong formula used in 64Ni+64Ni reaction. https://arxiv.org/abs/1010.3551

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