Elsevier

Nuclear Physics A

Volume 431, Issue 1, 10 December 1984, Pages 139-160
Nuclear Physics A

Quantized ATDHF calculations for the α + 16O20Ne system

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Abstract

The quantized adiabatic time-dependent Hartree-Fock theory (quantized ATDHF.) is numerically applied to the α + 16O20Ne system. Density-dependent interactions with finite-range direct Yukawa-tenns are used and the single-particle wave functions are represented on a three-dimensional grid in coordinate and momentum space. It is demonstrated that the evaluation of observables is independent on the actual choice of the collective coordinate. For the 20Ne ground state the importance of parity projection is shown. For the description of the dynamics of the α + 16O20Ne system the collective potential, the mass parameter, rotational moments of inertia and quantum corrections (zero point energies) are evaluated microscopically. The collective Schrödinger equation is then solved for the ground-state rotational band and for the α-16O elastic scattering. In both cases good agreement with experimental data is obtained.

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    On leave of absence from Limburgs Universitair Centrum, Diepenbeek, Belgium. 139

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