论文标题

增强的质子核融合横截面在强烈的高频激光器中

Enhanced proton-boron nuclear fusion cross sections in intense high-frequency laser

论文作者

Lv, Wenjuan, Duan, Hao, Liu, Jie

论文摘要

我们在高频线性极化的单色激光场的影响下研究了质子 - 波隆核融合横截面。首先,我们使用Kramers-Henneberger(KH)转换重写时间依赖性的Schrödinger方程,该方程允许将问题的所有时间依赖性转移到潜在的功能中。然后,对于满足高频限制的强激光场,KH框架中的时间平均方案应有效。我们可以使用WKB近似来评估库仑屏障的渗透性,然后通过现象学游戏形式来计算质子 - 波朗核融合截面。我们表明,由于时间平均潜在的障碍的抑郁症,相应的库仑屏障渗透性大大提高。结果,我们发现可以有效地增强质子核融合横截面,这取决于无量纲的数量$ n _ {\ mathrm {d}} $,这等于Quiver振荡幅度与Proton and Boron and Boron nucleus的几何触摸半径的比率。对于$ n _ {\ mathrm {d}} = 9 $,我们预测融合横截面的共振峰值在$ \ varepsilon = 148 $ kev的事件能量下增强了约26美元$ 26 $。对于$ \ varepsilon = 586 $ keV的另一个事件能量,融合横截面的共振峰不仅增强了,而且由于过度级别融合的机制,融合横截面的峰值也转移到了$ \ varepsilon = 392 $ kev的较低能量。

We investigate the proton-boron nuclear fusion cross sections under the influence of the intense linearly polarized monochromatic laser fields with high frequency. First, we rewrite the time-dependent Schrödinger equation using Kramers-Henneberger (KH) transformation which allows for shifting all time dependence of the problem into the potential function. Then, for the intense laser fields that satisfy the high frequency limit, the time-averaged scheme in the KH framework should be valid. We can use WKB approximation to evaluate Coulomb barrier penetrability and then calculate proton-boron nuclear fusion cross sections by a phenomenological Gamow form. We show that the corresponding Coulomb barrier penetrability increases significantly due to the depression of the time-averaged potential barrier. As a result, we find that proton-boron nuclear fusion cross sections can be enhanced effectively depending on a dimensionless quantity $n_{\mathrm{d}}$, which equals the ratio of the quiver oscillation amplitude to the geometrical touching radius of the proton and boron nucleus. For $n_{\mathrm{d}}=9$, we predict that the resonance peak of the fusion cross-section is enhanced by about $26$ times at the incident energy of $\varepsilon=148$ keV. And for another incident energy of $\varepsilon=586$ keV, the resonance peak of fusion cross-section is not only enhanced but also shifted to lower energy of $\varepsilon=392$ keV due to the mechanism of over-barrier fusion.

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