Abstract
For the ionization of diatomic molecules the conditions and mechanisms giving rise to large positive and negative time delays of the ejected electrons are studied. It is shown that for H${}_{2}$ and H${}_{2}^{+}$ the singularities in the angular distribution of time delay occur when at a certain energy the amplitudes of all partial spheroidal waves, except one, turn into zero, i.e., they coincide with the so-called Cooper minimum. By analytical consideration of the emitted electron wave-packet evolution it is demonstrated that large negative values of the phase derivative with respect to energy do not violate the causality principle. We also analyze the dependence of time delay upon the electron energy for Coulomb spheroidal waves with different spheroidal quantum numbers.
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