Transition rate dependence on the atom charge states, Z

Abstract

Here are shown two different transition rates, one obtained in the ADK‐theory [1,2] and the other one for ADK result with turning point corrected with the Coulomb interaction – let us denote it cADK [1, 3], in both cases the changing of charge states Z of atoms was performed. If plotted for the fields from 1012 W/cm2 to 1017 W/cm2 and for Z = 1 to Z = 10, the two variants give behavior which were not predicted before, Fig. 1 and Fig. 2, showing in the cADK case pick which is not shown in the ADK case. But from results shown on Fig. 3 and Fig. 4, although they are giving only the illustration of the real behavior of the transition rates, the actual situation can be predicted. On Fig. 4 one has results of cADK, and obtains the strongest tunnel effect at 1013 W/cm2, differing from the ADK case (Fig. 3), which gives this effect at 1014 W/cm2, in accordance with our earlier result [1]. (© 2007 by Astro Ltd., Published exclusively by WILEY‐VCH Verlag GmbH & Co. KGaA)

Relativistic effects in the many-body theory of extreme multiplicity ion formation in superstrong laser fields

“…Ristić et al [32,33] improved the tunnelling model by more accurate account of the positions of the turning points. The tunnelling rate dependence on the ion charge number, Z, is more accurately considered in [34].…”

Circularly Polarized Laser Fields, with Different Z, Including Non-Zero Initial Momentum

“…It is definitely shown [1][2][3][4][5][6][7][8][9][10] that for low frequency laser fields one of the mostly used models is based on the tunneling regime: external field, due to its long duration, leads to the formation of the barrier through which electron can tunnel out. Among theories using this model the ADK-theory [1] is widely recognized.…”

“…As we have recently shown that the momentum of the ejected electron influences the transition rate in the case of ADK-theory [2,[7][8][9], we are now examining how the change of atom charge Z [8], when including non-zero momentum, contributes to transition rates for circularly polarized laser fields. Here, we are devoloping further the observations from our earlier work which included the ADK-theory.…”

Transition Rate Dependence on the Non-Zero Initial Momentum in the ADK-Theory

“…Theoretical framework was given by Keldysh [1]; it was further developed, resulting in emerging of the ADK--theory (Ammosov, Delone, Krainov) [2]. Some recent papers [3][4][5] improved it further, but in them the authors always assumed that the ionized electrons are leaving the atom with zero initial momentum (except say in [6,7]). Except for aforementioned papers, in [8] it was given thorough calculation of dependence of the initial momentum on the parabolic coordinate η.…”