ISSN 1063-7761, Journal of Experimental and Theoretical Physics, 2008, Vol. 107, No. 1, pp. 20–27. © Pleiades Publishing, Inc., 2008.
Original Russian Text © I.I. Beterov, I.I. Ryabtsev, D.B. Tretyakov, N.N. Bezuglov, A. Ékers, 2008, published in Zhurnal Éksperimental’noœ i Teoreticheskoœ Fiziki, 2008, Vol. 134,
No. 1, pp. 29–38.
20
1. INTRODUCTION
Equilibrium thermal blackbody radiation, or, sim-
ply, blackbody radiation, which is always present in
space, can appreciably affect the dynamics of popula-
tion of highly excited (Rydberg) states [1] of any atoms.
Interactions of atoms in Rydberg states with blackbody
radiation have been theoretically and experimentally
studied in a number of works, in which the greatest
attention was concentrated on transitions in the discrete
spectrum and on the decrease in the lifetime of Rydberg
states under the action of blackbody radiation [2–4].
Detailed theoretical investigations of the depopulation
of Rydberg levels were performed in [5]. Also, cascade
transitions in the discrete spectrum were theoretically
and experimentally studied [6].
Recent growing interest in the interaction of Ryd-
berg atoms with blackbody radiation was stimulated by
investigations of ultracold plasma. In first experiments,
conversion of a cloud of cold Rydberg atoms in a mag-
netooptical trap into ultracold plasma was observed [7,
8]. It was assumed that this occurs due to avalanche ion-
ization of Rydberg atoms in the cloud, which is initi-
ated by photoionization of Rydberg atoms in the black-
body radiation field.
To construct a model of formation of ultracold
plasma, calculation data on the total rates of ionization
of different Rydberg states by blackbody radiation are
necessary. However, analysis of the literature available
shows that only a few works were devoted to transitions
to the discrete spectrum, which are responsible for pho-
toionization of atoms. In [9], the temperature depen-
dence of the blackbody photoionization rate of the 17D
state of sodium was theoretically calculated and exper-
imentally measured. A simple analytical formula for
estimating the ionization rate proposed in that study is
still in use [7], although it takes into account only the
ionization potential of the Rydberg state, while the
orbital momentum L is ignored. This makes this for-
mula inapplicable in calculations of photoionization
rates of non-hydrogen-like states with small L. The
rates of direct photoionization of hydrogen and sodium
atoms by blackbody radiation were numerically calcu-
lated in [10] to a high accuracy using the model poten-
tial method. Our recent results for sodium obtained in
[11] agree well with these calculations. In [11], we also
calculated the total ionization rates for rubidium atoms.
Theoretical calculations of direct photoionization by
blackbody radiation were recently calculated for
helium atoms as well [12]. We also note that radial
matrix elements for transitions between coupled and
ATOMS, MOLECULES,
OPTICS
Ionization of nS, nP, and nD Lithium, Potassium,
and Cesium Rydberg Atoms by Blackbody Radiation
I. I. Beterov
a,
*, I. I. Ryabtsev
a
, D. B. Tretyakov
a
, N. N. Bezuglov
b, c
, and A. Ékers
d, e
a
Institute of Semiconductor Physics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
b
St. Petersburg State University, St. Petersburg, 199034 Russia
c
Fock Research Institute of Physics, St. Petersburg, 198904 Russia
d
University of Latvia, LV-1586 Riga, Latvia
e
Institute of Atomic Physics and Spectroscopy, LV-1585 Riga, Latvia
*e-mail: beterov@isp.nsc.ru
Received October 11, 2007
Abstract—The results of theoretical calculations of the blackbody ionization rates of lithium, potassium, and
cesium atoms residing in Rydberg states are presented. The calculations are performed for nS, nP , and nD states
in a wide range of principal quantum numbers, n = 8–65, for blackbody radiation temperatures T = 77, 300, and
600 K. The calculations are performed using the known quasi-classical formulas for the photoionization cross
sections and for the radial matrix elements of transitions in the discrete spectrum. The effect of the blackbody-
radiation-induced population redistribution between Rydberg states on the blackbody ionization rates measured
under laboratory conditions is quantitatively analyzed. Simple analytical formulas that approximate the numer-
ical results and that can be used to estimate the blackbody ionization rates of Rydberg atoms are presented. For
the S series of lithium, the rate of population of high-lying Rydberg levels by blackbody radiation is found to
anomalously behave as a function of n. This anomaly is similar to the occurrence of the Cooper minimum in
the discrete spectrum.
PACS numbers: 32.80.Fb, 32.80.Rm, 32.70.Cs
DOI: 10.1134/S1063776108070029