We consider the Compton scattering in the optically thick uniform spherical corona around a neutron star in an X-ray binary. In the scattering, the low energy seed photons (0.1 ∼ 2.5 keV) are scattered in low energy electrons (2.5 ∼ 10 keV) in the corona in two conditions, i.e. initial seed photons are scattered in a whole corona and scattered in every layer of the corona that are supposed to be divided into many layers. When the same number of input seed photons, the same corona parameters, and the same energy distribution of all photons in the two conditions are considered, the approximately same number of output photons can be obtained, which means that there is approximately a transform invariance of layering the Comptonized corona. Thus the scattering in the layers of a multilayered corona is approximately equal to the scattering in the whole corona by dividing the whole corona into several layers. It means that Compton scattering for the initial seed photons scattered in a whole optically thick spherical corona with uniformly distributed electrons also can be considered as that the multiple Compton scatterings take place in the layers of a multilayered corona in order approximately, which can be used to explore some physical process in one part of a corona.

中文翻译：

---

两种条件下 X 射线双星中中子星周围光学厚的均匀球形日冕中的康普顿散射

我们考虑了 X 射线双星中中子星周围光学厚的均匀球形日冕中的康普顿散射。在散射中，低能种子光子（0.1～2.5 keV）在日冕中以低能电子（2.5～10 keV）在两种情况下发生散射，即初始种子光子在整个日冕中散射，在每一层中散射。应该被分成许多层的日冕。当考虑相同数量的输入种子光子、相同的电晕参数以及两种条件下所有光子的能量分布相同时，可以得到近似相同的输出光子数量，即近似存在一个变换不变性将 Comptonized 电晕分层。因此，通过将整个电晕分成若干层，多层电晕的层中的散射近似等于整个电晕中的散射。这意味着初始种子光子在具有均匀分布的电子的整个光学厚球冕中的康普顿散射也可以认为是多次康普顿散射按近似顺序发生在多层日冕的各层中，可用于探索日冕某一部分的一些物理过程。