EGAS41 - Swansea University

41 st EGAS CP 211 Gdańsk 2009
Relativistic multireference configuration interaction calculations
of lifetime of 2s 2 2p 2 P 3/2 level along boron isoelectronic sequence
K. Koc
Department of Computer Science, Pedagogical University, ul. Podchor¸ażych 2, 30-084 Kraków,
Poland,
E-mail: sfkoc@cyf-kr.edu.pl
Lifetime of 2s 2 2p 2 P 3/2 level along with fine structure separations for the lowest 2 P
doublet of Boron-like ions, from Z=14 to Z=30 have been calculated using multireference
relativistic configuration interaction(MR RCI) method based on the no-pair Dirac-
Coulomb-Breit(DCB) Hamiltonian. Analytic basis sets of Gaussian-type functions are
employed to expand the upper and lower components of the Dirac four-spinors in the matrix
Dirac-Fock self-consistent field(DF SCF) and relativistic MR CI procedures. Error
with respect to variation of basis set parameters was estimated. QED corrections were
estimated by evaluation of electron self-energy and vacuum polarisation.
To explain discrepancies between theory and experiment of 2s 2 2p 2 P 3/2 level lifetime
for Ar +13 ion, the M1 transition amplitude was calculated using electron g-factor for free
and bond electron.
Table 1: E2 and M1 transition rates and lifetime of the lowest 2 P 3/2 state for Ar +13 ion
Ion E2(s −1 ) M1(s −1 ) τ(ms) Other Experimental
Ar 13+ 1.862e-03 1.044e+02 9.5769 9.582 [2] 9.573(4)(+12/-5)[1]
9.533 a 9.5376 [2] a
9.569 b
a with anomalous magnetic moment correction for free electron
b with anomalous magnetic moment correction for bond electron
References
[1] A. Lapierre, J.R. Crespo Lõpez-Urrutia, J. Braun, G. Brenner, H. Bruhns, D. Fischer,
A.J. Gonzlez Martnez, V. Mironov, C.J. Osborne, G. Sikler, R. Soria Orts, H. Tawara, J.
Ullrich, Phys. Rev. A 73 052507 (2006)
[2] A.V. Volotka, D.A. Glazov, G. Plunien, V.M. Shabaev, I.I. Tupitsyn, Eur. Phys. J D
48 167 (2008)
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