Discrete structures in fusion-barrier distributions for vibrational nuclei |
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Authors: | AY Abul-Magd MH Simbel |
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Institution: | (1) Faculty of Science, Zagazig University, Zagazig, Egypt, EG |
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Abstract: | We obtain a closed-form expression for the distribution of fusion barriers for vibrational nuclei using a generalization of
Dasso, Landowne, and Winther's model, which represents the nuclear surface vibrations as a number of harmonic oscillators,
and allows the excitation of an arbitrary number of phonons in the target and/or projectile. We find that this expression
is in reasonable agreement with the average trends of the empirical distributions for the fusion of 16O with 92Zr, 144Sm and 208Pb, but fails to reproduce the double peaking of the distribution for the 144Sm target. Only when we restrict the number of excited phonons to a limited number, we are able to reproduce such discrete
structures. We show that limiting the number of coupled channels, particularly in the case of strong coupling, increases the
spacings between the channel eigenvalues that determine the positions of the peaks of the barrier distribution and modifies
their heights.
Received: 6 March 2000 / Accepted: 31 January 2001 |
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Keywords: | PACS 25 70 Jj Fusion and fusion-fission reactions – 24 10 -i Nuclear-reaction models and methods – 25 70 -z Low and intermediate energy heavy-ion reactions – 21 60 Ev Collective models |
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