Decrease in the Brightness of the Cosmic X-ray and Soft Gamma-ray Background toward Clusters of Galaxies

We show that Compton scattering by electrons of the hot intergalactic gas in galaxy clusters should lead to peculiar distortions of the cosmic background X-ray and soft gamma-ray radiation-an increase in its brightness at hv less than or similar to 60-100 keV and a drop at higher energies. The background distortions are proportional to the cluster gas surface density, in contrast to the intensity of the thermal gas radiation proportional to the density squared, which allows the most important cluster parameters to be measured. The spectral shape of the background distortions and its dependence on the gas temperature, optical depth, and surface density distribution law have been studied using detailed Monte Carlo calculations and conformed by analytical estimations. In the cluster frame the maximum of the background decrease due to the recoil effect occurs at hv similar to 500-600 keV. The photoionization of hydrogen- and helium-like iron and nickel ions leads to additional distortions in the background spectrum-a strong absorption line with the threshold at hv similar to 9 keV (and also to an absorption jump at hv greater than or similar to 2 keV for cold clusters). The absorption of intrinsic thermal radiation from the cluster gas by these ions also leads to such lines. In nearby (z less than or similar to 1) clusters the line at hv similar to 2 keV is noticeably enhanced by absorption in the colder (similar to 10(6) K) plasma of their peripheral (less than or similar to 3 Mpc) regions; moreover, the absorption line at hv similar to 1.3 keV, which does not depend on the properties of the hot cluster gas, splits off from it. The redshift of distant clusters shifts the absorption lines in the background spectrum (at similar to 2, similar to 9, and similar to 500 keV) to lower energies. Thus, in contrast to the microwave background radiation scattering effect, this effect depends on the cluster redshift z, but in a very peculiar way. When observing clusters at z greater than or similar to 1, the effect allows one to determine how the X-ray background evolved and how it was "gathered" with z. To detect the effect, the accuracy of measurements should reach similar to 0.1%. We consider the most promising clusters for observing the effect and discuss the techniques whereby the influence of the thermal gas radiation hindering the detection of background distortions should be minimal.