论文标题
低能核融合的玩具模型
A Toy Model for Low Energy Nuclear Fusion
论文作者
论文摘要
我们研究质子与核的融合，并在EV或较小的低入射能量下发射两个光子。我们使用一个步骤模型来用于质子和核之间的排斥力。我们考虑在自由空间和介质内的反应。我们通过假设超出一定长度尺度的硬壁电势来为介质创建一个简单的模型。这本质上导致了能量谱的离散化，这在培养基内预期，既可以看到晶格结构，又是无定形材料。我们使用二阶扰动理论来计算过渡速率。我们发现，自由空间中的速率很小。但是，在培养基中，速率可能很高。因此，我们得出的结论是，核融合反应可能以低能的速度发生。
We study the fusion of a proton with a nucleus with the emission of two photons at low incident energy of the order of eV or smaller. We use a step model for the repulsive potential between proton and the nuclei. We consider the reaction both in free space and inside a medium. We make a simple model for the medium by assuming a hard wall potential beyond a certain length scale. This essentially leads to discretization of the energy spectrum which is expected inside a medium and is seen both for a crystalline lattice structure and for amorphous materials. We use second order perturbation theory to compute the transition rate. We find that the rate in free space is very small. However in medium, the rate may be substantial. Hence, we conclude that nuclear fusion reactions may take place at low energies at observable rates.
