A new approach to relativistic multi-configuration quantum mechanics in titanium. (English) Zbl 1238.76067

Phys. Lett., A 374, No. 47, 4756-4760 (2010); erratum ibid. 377, No. 3-4, 351-352 (2013).
Summary: Multiply-ionized atoms in plasmas and astronomical systems are predominantly of intermediate atomic numbers with open electron shells. The spectra seen in laboratory plasmas and astrophysical plasmas are dominated by characteristic \(K\alpha_{1,2}\) photoemission lines. Modelling these transitions requires advanced relativistic frameworks to begin to formulate solutions. We present a new approach to relativistic multi-configuration determination of \(K\alpha_{1,2}\) diagram and satellite energies in titanium to a high level of convergence, allowing accurate fitting of satellite contributions and the first agreement with profile to negligible residuals. These developments also apply to exciting frontiers including temporal variation of fundamental constants, theoretical chemistry and laboratory astrophysics.


76X05 Ionized gas flow in electromagnetic fields; plasmic flow
76E20 Stability and instability of geophysical and astrophysical flows
81V45 Atomic physics
81V80 Quantum optics
85A25 Radiative transfer in astronomy and astrophysics


Full Text: DOI


[1] Murphy, M.T.; Flambaum, V.V.; Muller, S.; Henkel, C., Science, 320, 1611, (2008)
[2] Kritcher, A.L.; Neumayer, P.; Castor, J.; Döppner, T.; Falcone, R.W.; Landen, O.L.; Lee, H.J.; Lee, R.W.; Morse, E.C.; Ng, A.; Pollaine, S.; Price, D.; Glenzer, S.H., Science, 322, 69, (2008)
[3] Drake, R.P., Nature physics, 5, 786, (2009)
[4] Deslattes, R.D.; Kessler, J.E.G.; Indelicato, P.; de Billy, L.; Lindroth, E.; Anton, J., Rev. mod. phys., 75, 35, (2003)
[5] Lindgren, I.; Salomonson, S.; Hedendahl, D., Phys. rev. A, 73, 062502, (2006)
[6] Chen, M.; Cheng, K.; Johnson, W., Phys. rev. A, 64, 042507, (2001)
[7] Hasegawa, S.; Recami, E.; Yoshida, F.; Matsuoka, L.; Koike, F.; Fritzshe, S.; Obara, S.; Azuma, Y.; Nagata, T., Phys. rev. lett., 97, 023001, (2006)
[8] Nandra, K., Mon. not. roy. astron. soc. lett., 368, L62, (2006)
[9] Hansen, S.; Faenov, A.Y.; Pikuz, T.A.; Fournier, K.; Shepherd, R.; Chen, H.; Widmann, K.; Wilks, S.C.; Ping, Y.; Chung, H.K.; Niles, A.; Hunter, J.R.; Dyer, G.; Ditmire, T., Phys. rev. E, 72, 036408, (2005)
[10] Kawai, J.; Satoko, C.; Fujisawa, K.; Gohshi, Y., Phys. rev. lett., 57, 988, (1986)
[11] Finster, J.; Leonhardt, G.; Meisel, A., J. phys. (Paris) colloq., 32, C4-218, (1971)
[12] Deutsch, M.; Hölzer, G.; Härtwig, J.; Wolf, J.; Fritsch, M.; Förster, E., Phys. rev. A, 51, 283, (1995)
[13] Kochur, A.; Dudenko, A.; Petrini, D., J. phys. B at. mol. opt., 35, 395, (2002)
[14] Doniach, S.; Sunjic, M., J. phys. C solid state phys., 3, 285, (1970)
[15] Paratt, L., Phys. rev., 49, 502, (1936)
[16] Deutsch, M.; Gang, O.; Hämäläinen, K.; Kao, C.C., Phys. rev. lett., 76, 2424, (1996)
[17] Grant, I.P., Relativistic quantum theory of atoms and molecules: theory and computation, (2006), Springer
[18] Dzuba, V.A.; Flambaum, V.V.; Kozlov, M.G.; Marchenko, M., Phys. rev. A, 66, 022501, (2002)
[19] Indelicato, P.; Boucard, S.; Lindroth, E., Eur. phys. J. D, 3, 29, (1998)
[20] Indelicato, P.; Gorveix, O.; Desclaux, J.P., J. phys. B at. mol. opt., 20, 651, (1987)
[21] Jönsson, P.; He, X.; Fischer, C.F.; Grant, I.P., Comput. phys. commun., 177, 597, (2007)
[22] Malmqvist, A., Int. J. quantum chem., 30, 479, (1986)
[23] Chantler, C.T.; Hayward, A.C.L.; Grant, I.P., Phys. rev. lett., 103, 123002, (2009)
[24] Mukoyama, T.; Song, B.; Taniguchi, K., X-ray spectrometry, 28, 99, (1999)
[25] Oura, M.; Yamaoka, H.; Kawatsura, K.; Takahiro, K.; Takeshima, N.; Zou, Y.; Hutton, R.; Ito, S.; Awaya, Y.; Terasawa, M.; Sekioka, T.; Mukoyama, T., J. phys. B at. mol. opt., 35, 3847, (2002)
[26] Shigeoka, N.; Oohashi, H.; Tochio, T.; Ito, Y.; Mukoyama, T.; Vlaicu, A.M.; Yoshikawa, H.; Fukushima, S., Phys. scripta T, 115, 1080, (2005)
[27] Fischer, C.F., J. phys. B at. mol. opt., 43, 074020, (2010)
[28] J. Kawai, Personal communication, 2007.
[29] Kawai, J.; Konishi, T.; Shimohara, A.; Gohshi, Y., Spectrochim. acta B, 49, 725, (1994)
[30] Anagnostopoulos, D.F.; Gotta, D.; Indelicato, P.; Simons, L.M., Phys. rev. lett., 91, 240801, (2003)
[31] Chantler, C.T.; Kinnane, M.N.; Su, C.H.; Kimpton, J.A., Phys. rev. A, 73, 012508, (2006)
[32] Mukoyama, T.; Taniguchi, K., Phys. rev. A, 36, 693, (1987)
[33] Anagnostopoulos, D.F.; Sharon, R.; Gotta, D.; Deutsch, M., Phys. rev. A, 60, 2018, (1999)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.