Systematic analysis of fusion barrier heights and positions for proton projectiles using the single folding model

YANG Jie-Cheng; ZHANG Gao-Long; PANG Dan-Yang

doi:10.1088/1674-1137/38/3/034101

Chinese Physics C> 2014, Vol. 38> Issue(3) : 034101 DOI: 10.1088/1674-1137/38/3/034101

Systematic analysis of fusion barrier heights and positions for proton projectiles using the single folding model

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The nuclear potentials between protons and different target nuclei are calculated by using the single folding model with the density-dependent nucleon-nucleon interaction. The fusion barrier heights and positions for proton projectiles fusing with different target nuclei with masses from 51 amu to 139 amu are systematically shown, with charge numbers and root-mean-square radii of the interacting nuclei. The parameterized formulas for the fusion barrier height and position are obtained for proton projectile fusing with the different nuclei. The calculated results of parameterized formulas are compared to empirical values, as well as those of the proximity potential and Akyüz-Winther (AW) potential. It is shown that the calculated results agree perfectly with theirs. The parameterized formulas can reproduce the exact barrier heights and positions for proton fusion systems.

References

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YANG Jie-Cheng, ZHANG Gao-Long and PANG Dan-Yang. Systematic analysis of fusion barrier heights and positions for proton projectiles using the single folding model[J]. Chinese Physics C, 2014, 38(3): 034101. doi: 10.1088/1674-1137/38/3/034101

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Received: 2013-04-08
Revised: 2013-10-24

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Systematic analysis of fusion barrier heights and positions for proton projectiles using the single folding model

Corresponding author: ZHANG Gao-Long,

Received Date: 2013-04-08

Accepted Date: 2013-10-24

Available Online: 2014-03-05

Abstract: The nuclear potentials between protons and different target nuclei are calculated by using the single folding model with the density-dependent nucleon-nucleon interaction. The fusion barrier heights and positions for proton projectiles fusing with different target nuclei with masses from 51 amu to 139 amu are systematically shown, with charge numbers and root-mean-square radii of the interacting nuclei. The parameterized formulas for the fusion barrier height and position are obtained for proton projectile fusing with the different nuclei. The calculated results of parameterized formulas are compared to empirical values, as well as those of the proximity potential and Akyüz-Winther (AW) potential. It is shown that the calculated results agree perfectly with theirs. The parameterized formulas can reproduce the exact barrier heights and positions for proton fusion systems.

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Systematic analysis of fusion barrier heights and positions for proton projectiles using the single folding model

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