重核DIS的库仑修正
Coulomb corrections to DIS off heavy nuclei
摘要:
未来电子离子对撞机实验计划的一个重要部分是研究低$x$下的原子核结构和动力学。在低$x$的DIS的特征在于大的纵向相干长度,远远超过重核的半径。相干行为是低$x$核物质的基本特征。这不仅适用于强相互作用,也适用于电磁相互作用。在强相互作用和电磁相互作用中,分别用参数$α_s^2 A^{1/3}\sim 1$和$αZ\sim 1 $来表征抛射体与重核中核子的相干相互作用.对$αZ$表现出非平凡依赖性的贡献称为库仑校正。我们计算了半包容和衍射DIS的库仑修正截面,证明了它们在很宽的光子虚度范围内违反几何标度,并且是弱$x$无关的。在低$Q^2$的重核中,对总截面和衍射截面的库仑修正分别约为20%和40%。
英文摘要:
An essential part of experimental program at the future Electron Ion Collider is the study of the nuclear structure and dynamics at low $x$. DIS at low $x$ is characterized by large longitudinal coherence length that by far exceeds radii of heavy nuclei. The coherent behavior is essential feature of the nuclear matter at low $x$. This pertains not only to the strong interactions, but also to electromagnetic ones. Coherent interactions of a projectile with nucleons in a heavy nucleus are characterized by parameters $α_s^2 A^{1/3}\sim 1$ and $αZ\sim 1 $ in strong and electromagnetic interactions respectively. Contributions exhibiting non-trivial dependence on $αZ$ are called the Coulomb corrections. We compute the Coulomb corrections to the cross sections of the semi-inclusive and diffractive DIS. We show that they violate the geometric scaling in a wide range of photon virtualities and is weakly $x$-independent. In heavy nuclei at low $Q^2$ the Coulomb correction to the total and diffractive cross sections is about 20% and 40% correspondingly.
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