Abstract
High-precision calculations of the 3,1 P 01 (ns np→1 S 0(ns 2) E1 amplitudes were carried out for magnesium, calcium, and strontium (n=3, 4, and 5, respectively). The following results were obtained for the reduced matrix element 〈1 P 01 ‖d‖ 1 S 0〉 of electric dipole moment operator: 4.03(2) au for Mg, 4.91(7) au for Ca, and 5.28(9) au for Sr. These matrix elements are necessary for calculating the van der Waals coefficients C 6, which are used in evaluating the atomic scattering lengths. The latter determine the dynamics and stability of the Bose-Einstein condensate.
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C. Drag, B. Laburthe-Tolra, B. T. Jampens, et al., Phys. Rev. Lett. 85, 1408 (2000).
P. L. Leo, C. J. Williams, and P. S. Julienne, Phys. Rev. Lett. 85, 2721 (2000).
M. Machholm, P. S. Julienne, and K.-A. Suominen, Phys. Rev. A 59, R4113 (1999).
G. Zinner, T. Binnewies, and F. Riehle, Phys. Rev. Lett. 85, 2292 (2000).
T. P. Dinneen, K. R. Vogel, E. Arimondo, et al., Phys. Rev. A 59, 1216 (1999).
A. Derevianko, W. R. Johnson, M. S. Safronova, and J. F. Babb, Phys. Rev. Lett. 82, 3589 (1999); A. Derevianko and A. Dalgarno, Phys. Rev. A 62, 062501 (2000).
A. Dalgarno and W. D. Davidson, Adv. At. Mol. Phys. 2, 1 (1966).
A. Derevianko, private communication.
L. Liljeby, A. Lindgard, S. Mannervik, et al., Phys. Scr. 21, 805 (1980).
F. M. Kelly and M. S. Mathur, Can. J. Phys. 58, 1416 (1980).
T. Brage, C. F. Fisher, N. Vaeck, and A. Gallagher, Phys. Scr. 48, 533 (1993) and references therein.
H. G. C. Werij, C. H. Greene, C. E. Theodosiou, et al., Phys. Rev. A 46, 1248 (1992).
V. V. Dzuba, V. V. Flambaum, and M. G. Kozlov, Phys. Rev. A 54, 3948 (1996); S. G. Porsev, Yu. G. Rakhlina, and M. G. Kozlov, J. Phys. B 32, 1113 (1999); S. G. Porsev, Yu. G. Rakhlina, and M. G. Kozlov, Phys. Rev. A 60, 2781 (1999).
M. G. Kozlov and S. G. Porsev, Opt. Spektrosk. 87, 384 (1999) [Opt. Spectrosc. 87, 352 (1999)].
V. A. Dzyuba, M. G. Kozlov, S. G. Porsev, and V. V. Flambaum, Zh. Éksp. Teor. Fiz. 114, 1636 (1998) [JETP 87, 885 (1998)].
P. Jonsson and C. Froese Fisher, J. Phys. B 30, 5861 (1997).
L. Lundin, B. Engman, J. Hilke, and I. Martinson, Phys. Scr. 8, 274 (1973).
W. H. Parkinson, E. M. Reeves, and F. S. Tomkins, J. Phys. B 9, 157 (1976).
W. W. Smith and A. Gallagher, Phys. Rev. A 145, 26 (1966).
W. J. Hansen, J. Phys. B 16, 2309 (1983).
A. Godone and C. Novero, Phys. Rev. A 45, 1717 (1992).
D. Husain and G. J. Roberts, J. Chem. Soc., Faraday Trans. 2 82, 1921 (1986).
D. Husain and J. Schifino, J. Chem. Soc., Faraday Trans. 2 80, 321 (1984).
H. S. Kwong, P. L. Smith, and W. H. Parkinson, Phys. Rev. A 25, 2629 (1982).
R. Drozdowski, M. Ignasiuk, J. Kwela, and J. Heldt, Z. Phys. D 41, 125 (1997).
C. Mitchell, J. Phys. B 8, 25 (1975).
P. G. Whitkop and J. R. Wiesenfeld, Chem. Phys. Lett. 69, 457 (1980).
J. F. Kelly, M. Harris, and A. Gallagher, Phys. Rev. A 37, 2354 (1988).
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Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 72, No. 12, 2000, pp. 862–866.
Original Russian Text Copyright © 2000 by Porsev, Kozlov, Rakhlina.
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Porsev, S.G., Kozlov, M.G. & Rakhlina, Y.G. High-precision calculationsj of the 3,1 P 01 →1 S 0 E1 amplitudes for magnesium, calcium, and strontium. Jetp Lett. 72, 595–598 (2000). https://doi.org/10.1134/1.1351197
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DOI: https://doi.org/10.1134/1.1351197