Abstract
Energy levels of the odd-parity 6pnd J=2 Rydberg states of atomic lead are analyzed by the multichannel quantum defect theory (MQDT) with previous experimental energy levels. The obtained. Using these parameters, admixture coefficients for each level are calculated to designate the level denotations. The results show that strong channel mixings exist for the levels near the 6pnd (3/2)[5/2]2 0 and 6p6d (3/2)[3/2]2 0 pertubers. The five-channel model different from that in literature is used to predict 21 energy positions of 6pnd (1/2)[3/2]2 0 levels and to determine the denotations of all the 6pnd J=2 Rydberg states under 59788 cm−1 for Pb I.
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Aymar, M., Greene, C. H., Luc-Koenig, E., Multichannel Rydberg spectroxcopy of complex atoms, Rev. Mod. Phys., 1996, 68(4): 1015–1123.
Demtröd, W., Laser Spectroscopy: Basic Concepts and Instrumentation, Berlin: Springer-Verlag, 1995, 574–582.
Aymar, M., Rydberg series of alkaline-earth atoms Ca through Ba: The interplay of laser spectroscopy and multichannel quantum defect analysis, Physics Reports, 1984, 110(3): 164–200.
Armstrong, J. A., Esherick, P., Wynne, J. J., Bound even-parity J=0 and 2 spectra of Ca: A multichannel quantum-defect theory analysis, Phys. Rev. A, 1977, 15(1): 180–196.
Aymar, M., Camus, P., Dieulin, M. et al., Two-photon spectroscopy of neutral barium: Observations of the highly excited even levels and theoretical analysis of the J=0 spectrum, Phys. Rev. A, 1978, 18(5): 2173–2183.
Wynne, J. J., Armstrong, J. A., High-Rydberg states in alkaline-earth atoms (II)—Multichannel quantum-defect theory (MQDT), Comments Atom. Mol. Phys., 1979, 8(5, 6): 155–171.
Feldman, U., Brown, C. M., Doschek, G. et al., XUV spectrum of C I observed from Skylab during a solar flare, J. Opt. Soc. Am., 1976, 66: 853–859.
Brown, C. M., Tilford, S. G., Ginter, M. L., Absorption spectrum of Ge I between 1500 and 1900 Å, J. Opt. Soc. Am. 1977, 67: 584–606.
Brown, C. M., Tilford, S. G., Ginter, M. L., Absorption spectrum of Sn I between 1580 and 2040 Å, J. Opt. Soc. Am., 1977, 67: 607–622.
Brown, C. M., Tilford, S. G., Ginter, M. L., Absorption spectrum of Pb I between 1350 and 2041 Å, J. Opt. Soc. Am., 1977, 67: 1240–1252.
Hasegawa, S., Suzuki, A., Resonance ionization spectroscopy and analysis on even-parity states of Pb I, Phys. Rev. A, 1996, 53(5): 3014–3022.
Ding, D., Jin, M., Liu, H. et al., Rydberg spectra and analysis for even-parity states of atomic lead, J. Phys. B, 1989, 22: 1979–1991.
Dai, Z., Li, Z. S., Zhankui, J., Radiative lifetimes and Landé factors of Rydberg 6pnp and 6pnf states of Pb I by multichannel-quantum-defect theory, Phys. Rev. A, 2002, 65: 022510-1–022510-7.
Dembczynski, J., Stachowska, E., Wilson, M. et al., Measurement and interpretation of the odd-parity levels of Pb I, Phys. Rev. A, 1994, 49(2): 745–754.
Lee, C. M., Lu, K. T., Spectroscopy and collision theory (II)—The Ar absorption spectrum, Phys. Rev. A, 1971, 8: 1241–1257.
Lu, K. T., Fano, U., Graphical analysis of perturbed Rydberg series, Phys. Rev. A, 1970, 2: 81–86.
Lu, K. T., Spectroscopy and collision theory. The Xe absorption spectrum, Phys. Rev. A, 1971, 4: 579–596.
Cowan, R. D., The Theory of Atomic Structure and Spectra, Berkeley: University of California Press, 1981, 248–250.
Wood, D. R., Andrew, K. L., Arc spectrum of lead, J. Opt. Soc. Am., 1968, 58: 818–829.
Moore, C. E., Atomic Energy Levels III. Natl. Bur. Stand. (U.S.) 35/V.III, Washington, DC: U.S. GPO, 1971, 211.
Nelder, J. A., Mead, R. A., simplex method for function minimization, Comput. J., 1965, 7: 308–313.
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Dai, Z., Jiang, H., Liu, J. et al. Energy levels of perturbed 6pnd J=2 Rydberg states of Pb I by multichannel quantum defect theory. SCI CHINA SER G 46, 542–551 (2003). https://doi.org/10.1360/02yw0291
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DOI: https://doi.org/10.1360/02yw0291