The Analytical Parametrization of Fusion Barrier by Using the Skyrme Energy-Density Function Model

Using the skyrme energy density formalism, a pocket formula is introduced for barrier heights and positions of 95 fusion reactions (48 ≤ Z P Z T ≤ 1520) with respect to the charge and mass numbers of the interacting nuclei. It is shown that the parameterized values of R B and V B are able to reprodu...

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Bibliographic Details
Published in:Communications in theoretical physics 2015-08, Vol.64 (2), p.177-184
Main Authors: Zanganeh, V., Mirzaei, M., Wang, N.
Format: Article
Language:English
Subjects:
Barriers
Cross sections
Error analysis
Formalism
Mathematical analysis
Mathematical models
Parametrization
Pocket
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Summary:Using the skyrme energy density formalism, a pocket formula is introduced for barrier heights and positions of 95 fusion reactions (48 ≤ Z P Z T ≤ 1520) with respect to the charge and mass numbers of the interacting nuclei. It is shown that the parameterized values of R B and V B are able to reproduce the corresponding experimental data with good accuracy. Moreover, the absolute errors of our formulas are less than those obtained using the analytical parametrization forms of the fusion barrier based on the proximity versions. The ability of the parameterized forms of the barrier heights and its positions to reproduce the experimental data of the fusion cross section have been analyzed using the Wong model.
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/64/2/177