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Acta Physica Polonica A

Blackbody-Radiation-Induced Decay and Excitation οf Rydberg States in Sodium

Vitalii D Ovsiannikov, Igor L. Glukhov

Published Oct 1, 2009• 2 citations
Publisher

Abstract

Rates of the blackbody radiation-induced excitation and decay were calculated for the S-, P -, D-series of the Rydberg states in sodium atoms with the Fues model potential method.Comparisons between three branches of the state depopulation mechanism (spontaneous decays, blakbody radiation-induced and excitations) were carried out.Simple analytical formulas were proposed for ratios of the blackbody radiation-induced decay and excitation rates to the spontaneous decay rate.

DOI
10.12693/aphyspola.116.528

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arXiv:physics/0702192•Physical Review A•May 30, 2007•47 citations
Rates of the blackbody radiation-induced excitation and decay were calculated for the S-, P -, D-series of the Rydberg states in sodium atoms with the Fues model potential method.Comparisons between three branches of the state depopulation mechanism (spontaneous decays, blakbody radiation-induced and excitations) were carried out.Simple analytical formulas were proposed for ratios of the blackbody radiation-induced decay and excitation rates to the spontaneous decay rate.
Details of interaction between the blackbody radiation and neutral lithium atoms were studied in the temperature ranges T = 100-2000 K. The rates of thermally induced decays, excitations and ionization were calculated for S-, P- and D-series of Rydberg states in the Fues' model potential approach. The quantitative regularities for the states of the maximal rates of blackbody-radiation-induced processes were determined. Approximation formulas were proposed for analytical representation of the depopulation rates.
The rates of excitations and decays induced by blackbody radiation were calculated in the single-electron Fues' model potential approach for states up to n = 100 in rubidium s-, p-and d-series.On the basis of the calculations, general regularities for maxima rates of blackbody radiation induced decays and excitations were ascertained and a simple polynomial-based approximation formula was proposed for blackbody radiation induced decay and excitation rates of Rydberg states.A temperature parameterization for T = 50-1500 K was also proposed and respective matrices of coefficients were calculated.
New features of the blackbody-induced radiation processes on Rydberg atoms were discovered on the basis of numerical data for the blackbody-induced decay P d nl ( T ), excitation P e nl ( T ) and ionization P ion nl ( T ) rates of n S, n P and n D Rydberg states calculated together with the spontaneous decay rates P sp nl in neutral hydrogen, and singlet and triplet helium atoms for some values of the principal quantum number n from 10 to 500 at temperatures from T = 100 K to 2000 K. The fractional rates R d ( e , ion) nl ( T ) = P nl d ( e , ion) ( T )/ P sp nl equal to the ratio of the induced decay (excitation, ionization) rates to the rate of spontaneous decay were determined as functions of T and n in every series of states with a given angular momentum l = 0, 1, 2. The calculated data reveal an essential difference between the asymptotic dependence of the ionization rate P ion nl ( T ) and the rates of decay and excitation P d ( e ) nl ( T )∝ T / n 2 . The departures appear in each Rydberg series for n > 100 and introduce appreciable corrections to the formula of Cooke and Gallagher. Two different approximation formulae are proposed on the basis of the numerical data, one for R d ( e ) nl ( T ) and another one for R ion nl ( T ), which reproduce the calculated values in wide ranges of principal quantum number from n = 10 to 1000 and temperatures between T = 100 K and T = 2000 K with an accuracy of 2% or better. Modified Fues' model potential approach was used for calculating matrix elements of bound–bound and bound–free radiation transitions in helium.
The radiative widths induced by blackbody radiation (BBR) were investigated for Rydberg states with principal quantum number up to n = 1000 in S-, P- and D-series of the neutral lithium atom at temperatures T = 100–3000 K. The rates of BBR-induced decays and excitations were compared with the rates of spontaneous decays. Simple analytical approximations are proposed for accurate estimations of the ratio of thermally induced decay (excitation) rates to spontaneous decay rates in wide ranges of states and temperatures.
Results of theoretical calculations of ionization rates of Rb and Na Rydberg atoms by blackbody radiation (BBR) are presented. Calculations have been performed for nSnSnS, nPnPnP, and nDnDnD states of Na and Rb, which are commonly used in a variety of experiments, at principal quantum numbers n=8−−65n=8--65n=8−−65 and at three ambient temperatures of 77, 300, and 600K600\phantom{\rule{0.3em}{0ex}}\mathrm{K}600K. A peculiarity of our calculations is that we take into account the contributions of BBR-induced redistribution of population between Rydberg states prior to photoionization and field ionization by extraction electric field pulses. The obtained results show that these phenomena affect both the magnitude of measured ionization rates and shapes of their dependences on nnn. The calculated ionization rates are compared with the results of our earlier measurements of BBR-induced ionization rates of Na nSnSnS and nDnDnD Rydberg states with n=8−−20n=8--20n=8−−20 at 300K300\phantom{\rule{0.3em}{0ex}}\mathrm{K}300K. A good agreement for all states except nSnSnS with n>15n>15n>15 is observed. We also present the useful analytical formulas for the quick estimation of BBR ionization rates of Rydberg atoms.