“…It should be emphasized that, while the neglected class of processes is usually unimportant in XPS, analogous processes are essential for the proper description of x-ray absorption and emission 2,4,7,22 and Auger emission. 8 If we define the exact response function of the metallic electrons ͑Fig. 3͒ as the solution of the integral equation ͑r 1 ,r 2 ,t 1 ,t 2 ͒ = ͟ ͑r 1 ,r 2 ,t 1 ,t 2 ͒ + ͵ drdrЈ ͵ dt ͟ ͑r 1 ,r,t 1 ,t͒ ϫv͑r,rЈ͒͑rЈ,r 2 ,t,t 2 ͒, the cumulant sum in Fig.…”