相对论量子力学中的PS介子形状因子和协变时空平移的约束
PS-meson form factors in relativistic quantum mechanics and constraints from covariant space-time translations
摘要：
在相对论量子力学框架下计算赝标介子电荷形状因子，研究了庞加莱协变时空平移的作用。它表明，这种作用超出了标准的能量动量守恒，这是占在所有的作品的基础上，这种一般的方法。这意味着到目前为止基本上被忽略的约束，但仍然应该满足以确保完整的庞加莱协方差。违反这些约束，这是或多或少的重要性取决于形式的相对论性量子力学，这表明使用单粒子电流的有效性，这是通常假设在计算形状因子。简而言之，这些约束关系到传递给组分的动量与传递给系统的动量之间的关系，这在相对论性量子力学中通常是不同的，而在场论中是相等的。如何解释的限制，以及恢复不同的相对论性量子力学方法在估计形状因子的等效性，进行了讨论。它是提到，这样得到的结果可以被识别为一个色散关系。在π介子的情况下给出了与潜在动力学相关的简短结论。
英文摘要：
The role of Poincaré covariant space-time translations is investigated in the case of the pseudoscalar-meson charge form factors calculated within a relativistic quantum mechanics framework. It is shown that this role extends beyond the standard energy-momentum conservation, which is accounted for in all works based on this general approach. It implies constraints that have been largely ignored until now but should be nevertheless fulfilled to ensure the full Poincaré covariance. The violation of these constraints, which is more or less important depending on the form of relativistic quantum mechanics that is employed, points to the validity of using a single-particle current, which is generally assumed in calculations of form factors. In short, these constraints concern the relation of the momentum transferred to the constituents to the one transferred to the system, which most often differ in relativistic quantum mechanics while they are equal in field theory. How to account for the constraints, as well as restoring the equivalence of different relativistic quantum mechanics approaches in estimating form factors, is discussed. It is mentioned that the result so obtained can be identified to a dispersion-relation one. A short conclusion relative to the underlying dynamics is given in the pion case.
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