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Systematic study of the heavy-ion fusion barrier in the frozen approximation

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Zeitschrift für Physik A Atomic Nuclei

Abstract

The height and position of the fusion barrier for the real part of the interaction potential between two colliding nuclei are studied as a function of the Coulomb strength. The calculations are performed in the framework of the spherical constrained HF + BCS formalism using the frozen approximation. The effective Skyrme type force SKa is used. The model contains no free parameters. For the height of the fusion barrier good agreement is found with the values obtained using the empirical Bass potential that is known to reproduce well the data for many nuclear systems. In contrast, the recently observed apparent rise of the fusion barrier (‘extra-extra-push’) for very massive nuclear systems with a product of nuclear chargesZ 1 xZ 2 above 1600 cannot be reproduced. We also give estimations for the overlap of the mass densities of both colliding nuclei at the fusion barrier distance.

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We thank Dr. K.-H. Schmidt for valuable support and encouragement. One of us (D.B.) is grateful to Profs. P.A. Armbruster and W. Nörenberg for their warm hospitality at GSI, and many encouraging discussions. We also Thank Prof. D.W.L. Sprung for a careful reading of the manuscript. Work support partially by NSERC op. grant A-3198.

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Berdichevsky, D., Reisdorf, W. Systematic study of the heavy-ion fusion barrier in the frozen approximation. Z. Physik A - Atomic Nuclei 327, 217–224 (1987). https://doi.org/10.1007/BF01292411

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  • DOI: https://doi.org/10.1007/BF01292411

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