抄録
Algebraic expressions are obtained for the generalized oscillator strengths of hydrogen-like atoms for the transitions involving s-, p-, and d-states with the principal quantum number n of 2, 3, and 4. Zero minima are found for all the transitions involving s-states, and their positions are shown to be proportional to the effective charge, the coefficients being tabulated. The Transitions from the 1s-state sometimes show zero minima if different effective charges are used for the initial and the final states. Even nodeless wave functions can produce zeros owing to the nodes of the spherical Bessel function. Some excitation processes of Ne, Na, Mg, and Ar caused by high-energy charged particles are investigated in the first Born hydrogen-like approximation, and the possibility of finding zero minima in the differential cross sections is discussed; the 3s→4p transitions of Na and Mg have the most conspicuous zeros of all that are studied.
