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Acta Physica Polonica A

Excitations and Decays of Rubidium Rydberg States Induced by Blackbody Radiation

Igor L. Glukhov, V V Chernushkin

Published Oct 1, 2009• 0 citations
Publisher

Abstract

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.

DOI
10.12693/aphyspola.116.532

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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.
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.
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.
Abstract We calculate the radiative transition rates of Rb nF Rydberg states due to both spontaneous emission and blackbody radiation (BBR), covering principal quantum numbers from n = 4 to n = 65, at temperatures of 0, 77, 300, and 520 K. The contribution of BBR-induced transitions to the total bound-to-bound transition rate is 24.6 % for the 21 F 7 / 2 state at T = 520 K , indicating the contribution of BBR may have been underestimated in a previous study by Gounand et al (1980 J. Phys. France 41 119). We checked our calculation procedure for consistency with available theoretical and experimental data for the nS , nP , and nD series of Rb.