论文标题
伯特 - 盐分结合状态解决方案:检查半循环学方法
Bethe-Salpeter Bound-State Solutions: Examining Semirelativistic Approaches
论文作者
论文摘要
在相对论量子场理论的形式主义中,有一个适当的框架来描述两粒子结合状态,例如,例如,所有常规的(即非出现)介子由Poincaré-Covariant同质性的伯特斯盐方程提供。但是,在应用程序中,这种方法通常被证明是相当涉及的,因此提取所寻求的预测并不总是很容易。鉴于这一点,可以通过遵守一些简化的近似值来获得对边界频谱的粗略思想,这构成了完全合法的第一步。可以通过考虑到获得的离散频谱的几个严格的约束来直接检查从出现的简单结合状态方程中推断出的见解的可靠性。这些工具的应用用于流行潜力。
Within the formalism of relativistic quantum field theory an adequate framework for the description of two-particle bound states, such as, for instance, all conventional (i.e., non-exotic) mesons, is provided by the Poincaré-covariant homogeneous Bethe-Salpeter equation. In applications, however, this approach usually proves to be rather involved, whence it is not always quite easy to extract the predictions sought. In view of this, a coarse idea of the bound-state spectrum to be expected might be gained by adhering to some simplifying approximations - which constitutes an entirely legitimate first step. The reliability of the insights inferred from the arising simpler bound-state equation may be straightforwardly examined by taking into account a couple of rigorous constraints on the obtained discrete spectrum. Application of these tools is illustrated for popular potentials.