论文标题
卷积的形式主义，用于定义黑龙的空间密度
A convolution formalism for defining spatial densities of hadrons
论文作者
论文摘要
我们阐明了哈德子空间密度的含义。物理密度由本地操作员对物理状态的期望值给出，并取决于内部结构和强子的波数据包。在某些特定情况下，物理密度可以写入取决于内部结构但不取决于波浪包的密度函数之间的卷积，而涂抹函数则取决于波数据包但不是内部结构。我们表明，文献中经常遇到的光前密度具有这种属性，但即时形式密度没有。对于在宽波包中制备的辐射，物理的即时形成密度大约遵守这种卷积关系，而Breit框架密度为明显的内部密度。但是，对此卷积公式有一系列无限的相对论校正。
We clarify the meaning of spatial densities of hadrons. A physical density is given by the expectation value of a local operator for a physical state, and depends on both internal structure and the hadron's wave packet. In some particular cases, the physical density can be written as a convolution between a density function that depends on internal structure but not wave packet, and a smearing function that depends on wave packet but not internal structure. We show that the light front densities often encountered in the literature have this property but that instant form densities do not. For hadrons prepared in broad wave packets, physical instant form densities approximately obey such a convolution relation, with Breit frame densities as the apparent internal densities. However, there is an infinite series of relativistic corrections to this convolution formula.
