Fusion cross section at sub-Coulomb energies

Y. Avishai

doi:10.1007/BF01408258

Fusion cross section at sub-Coulomb energies

Y. Avishai

Department of Physics

Research output: Contribution to journal › Article › peer-review

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Abstract

The effective barrier at low energies is approximated by a Coulomb and parabolic barriers. A simple closed formula is obtained for the total reaction cross section which is the natural extension of Wong's results into the low energy domain. Theoretical predictions of averaged energy behaviour agree fairly well with various experimental results. The relation ℏω₀≧π(2 kh²Z₁Z₂e²/μ)^1/2R₀^-3/2 between the curvature and the extremum point of the nucleus-nucleus potential is suggested, based on low energy fusion experiments. By assuming equality sign, it is possible to extract the parameters of the barrier directly from experiment. Incidentally it is found that h{combining short stroke overlay}ω₀ remains persistently arround 4.5 MeV for all the reactions which have been investigated.

Original language	English
Pages (from-to)	285-290
Number of pages	6
Journal	Zeitschrift für Physik A: Atoms and Nuclei
Volume	286
Issue number	3
DOIs	https://doi.org/10.1007/BF01408258
State	Published - 1 Sep 1978

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Nuclear and High Energy Physics

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10.1007/BF01408258

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abstract = "The effective barrier at low energies is approximated by a Coulomb and parabolic barriers. A simple closed formula is obtained for the total reaction cross section which is the natural extension of Wong's results into the low energy domain. Theoretical predictions of averaged energy behaviour agree fairly well with various experimental results. The relation ℏω0≧π(2 kh2Z1Z2e2/μ)1/2R0-3/2 between the curvature and the extremum point of the nucleus-nucleus potential is suggested, based on low energy fusion experiments. By assuming equality sign, it is possible to extract the parameters of the barrier directly from experiment. Incidentally it is found that h{combining short stroke overlay}ω0 remains persistently arround 4.5 MeV for all the reactions which have been investigated.",

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N2 - The effective barrier at low energies is approximated by a Coulomb and parabolic barriers. A simple closed formula is obtained for the total reaction cross section which is the natural extension of Wong's results into the low energy domain. Theoretical predictions of averaged energy behaviour agree fairly well with various experimental results. The relation ℏω0≧π(2 kh2Z1Z2e2/μ)1/2R0-3/2 between the curvature and the extremum point of the nucleus-nucleus potential is suggested, based on low energy fusion experiments. By assuming equality sign, it is possible to extract the parameters of the barrier directly from experiment. Incidentally it is found that h{combining short stroke overlay}ω0 remains persistently arround 4.5 MeV for all the reactions which have been investigated.

AB - The effective barrier at low energies is approximated by a Coulomb and parabolic barriers. A simple closed formula is obtained for the total reaction cross section which is the natural extension of Wong's results into the low energy domain. Theoretical predictions of averaged energy behaviour agree fairly well with various experimental results. The relation ℏω0≧π(2 kh2Z1Z2e2/μ)1/2R0-3/2 between the curvature and the extremum point of the nucleus-nucleus potential is suggested, based on low energy fusion experiments. By assuming equality sign, it is possible to extract the parameters of the barrier directly from experiment. Incidentally it is found that h{combining short stroke overlay}ω0 remains persistently arround 4.5 MeV for all the reactions which have been investigated.

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ER -

Fusion cross section at sub-Coulomb energies

Abstract

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