无自旋粒子对产生和局域化的阈值
On the Threshold for the Pair Production and Localization of Spinless Particles
摘要：
在最一般的Lorentz结构下研究了一维Klein-Gordon方程。对任意混合矢量耦合和标量耦合的阶跃势中粒子散射的分析表明，标量耦合有助于提高粒子-反粒子对产生的阈值能量.此外，它表明，对生产是唯一可行的矢量耦合超过标量的。通过引入有效康普顿波长的概念，解决了由于标量耦合的存在而引起的关于粒子在空间任意小区域中局域化的一个明显的悖论。
英文摘要：
The one-dimensional Klein-Gordon equation is investigated with the most general Lorentz structure for the external potentials. The analysis of the scattering of particles in a step potential with an arbitrary mixing of vector and scalar couplings reveals that the scalar coupling contributes for increasing the threshold energy for the particle-antiparticle pair production. Furthermore, it is shown that the pair production is only feasible whether the vector coupling exceeds the scalar one. An apparent paradox concerning the localization of a particle in an arbitrarily small region of space, due to the presence of the scalar coupling, is solved by introducing the concept of effective Compton wavelength.
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