Theorem relating spatial and temporal harmonics for nuclear interlevel transfer driven by collective electronic oscillation

Abstract

A crucial step in the development of gamma-ray lasers will be the discovery of an efficient mechanism for nuclear interlevel transfer. One promising mechanism uses the near-field interaction between the nucleus and laser-driven collective electronic oscillations. I prove an important theorem relating spatial and temporal harmonics: 2 2 n -poles are driven only at even multiples of the laser frequency, while 2 2 n+1 -poles are driven only at odd multiples of the laser frequency. I comment on the theorem's relevance to a proposed interlevel-transfer experiment.