Journals / Turkish Journal of Physics / 2006 / Cilt: 30 - Sayı: 1

DWBA of the reaction $^9Be{(p,alpha)}^6Li$ at $E_p$=18.6~50 MeV

Pages
1–14
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The present study shows that, the incident energy at which the reactions begin to proceed via the direct-component mechanism (i.e., the critical incident energy) varies from state to another.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The compound nucleus produced in the reaction $^9Be(p,alpha)^6Li$ in the incident energy range $Ep=18.6sim50$ MeV is mainly occurred when its excitation energy is greater than the a-particle threshold separation energy by about 20 MeV, strongly suggesting the reaction mechanism is a direct one-step process.
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Key Findings & Data:To understand this phenomenon, we employ semi-microscopic: zero-range distorted-wave Born approximation (DWBA) theory to analyse experimental data obtained in this energy range for the lower three 6Li-states: ground state ($1^$+ ; 0); 2.186 MeV ($3^+$ ; 0); and 3.563 MeV ($0^+$ ; 1).
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Conclusion & Impact:The present study shows that, the incident energy at which the reactions begin to proceed via the direct-component mechanism (i.e., the critical incident energy) varies from state to another.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The compound nucleus produced in the reaction $^9Be(p,alpha)^6Li$ in the incident energy range $Ep=18.6sim50$ MeV is mainly occurred when its excitation energy is greater than the a-particle threshold separation energy by about 20 MeV, strongly suggesting the reaction mechanism is a direct one-step process. To understand this phenomenon, we employ semi-microscopic: zero-range distorted-wave Born approximation (DWBA) theory to analyse experimental data obtained in this energy range for the lower three 6Li-states: ground state ($1^$+ ; 0); 2.186 MeV ($3^+$ ; 0); and 3.563 MeV ($0^+$ ; 1). The Kurath-Millener spectroscopic-factor amplitudes for the triton-cluster transfer are used in the analysis. Both the experimental angular distributions and the absolute values of the differential cross-sections are found to have good correlation with corresponding theoretical predictions. Good coincidence is obtained between the theoretically predicted spectroscopic factors $S_{JT}^{(p,alpha})$ and both experimental and theoretical integrated cross-sections (0°-90°) for Ep= 22.5, 31 and 45 MeV. Further, the experimental integrated cross-sections for the investigated 6Li-states agree well with the corresponding theoretical values at $E_pgeq 22.5$ MeV. In addition, a suitable coincidence is obtained between the calculated and the experimental excitation energies. The agreement between experimental and theoretical data of this reaction can be attributed to the use of the Cohen-Kurath wave functions and the model of calculations. The present study shows that, the incident energy at which the reactions begin to proceed via the direct-component mechanism (i.e., the critical incident energy) varies from state to another.

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Cite This Article

KARIEM, S. E. A. (2022). DWBA of the reaction $^9Be{(p,alpha)}^6Li$ at $E_p$=18.6~50 MeV. Turkish Journal of Physics, Cilt: 30 - Sayı: 1, 1–14. https://ajindex.com/articles/614062

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