定域动量与三体规范
Local Momentum and a Three-Body Gauge
摘要：
近年来，研究人员试图通过包括所谓的局部动量效应来改进三个相互作用的库仑粒子的连续态三体波函数，该效应取决于连续体、两体库仑波的对数梯度。使用精确的三体波函数的区域中的两个三个粒子保持接近，这些本地动量的修订的描述，达到预测的量子力学脉冲可能会在反应区中发展，导致同号带电粒子，以减少其径向分离和相反的符号带电粒子，以增加其径向分离。这些预测的后果进行调查，通过量子和半经典技术，在第三个相互作用的机构的存在下，两体连续库仑系统的总能量进行了分析。数值计算证实，虽然忽略轻离子-原子过程的这些局部效应，可能是适当的，三体效应可能占主导地位的反应区重离子-原子过程。这个假设进行了调查，它表明，一个实值，位置相关的相位被添加到波函数。进一步的分析表明，人们可以检测到的散射振幅的大规模系统在阈值附近的能量的渐近变化。这些结果为正式的三体规提供了令人信服的理论和物理依据。
英文摘要：
In recent years researchers have attempted to improve the continuum state three-body wavefunction for three, mutually interacting Coulomb particles by including, so called, local momentum effects, which depend upon the logarithmic gradient of the continuum, two-body Coulomb waves. Using the exact three-body wavefunction in the region where two of the three particles remain close, a revised description of these local momenta, is attained which predicts that a quantum-mechanical impulse may develop in the reaction zone, causing like-sign-charged particles to decrease their radial separation and opposite-sign-charged particles to increase their radial separation. The consequences of these predictions are investigated through both quantum and semi-classical techniques where the total energy of a two-body continuum Coulomb system in the presence of a third, mutually interacting body are analyzed. Numerical calculations confirm that while ignoring these local effects for light-ion-atom processes, may be appropriate, three-body effects may dominate in the reaction zone for heavy-ion-atom processes. This hypothesis is investigated and it is shown that a real-valued, position-dependent phase is added to the wavefunction. Further analysis shows that one may detect asymptotic variations in the scattering amplitudes for massive systems at near-threshold energies. These results provide convincing theoretical and physical evidence for a formal three-body gauge.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
