Abstract
High-lying doubly excited states of He and H− are studied and energies and intrinsic characteristics of their wave-functions are reported. Results for energies of 3Po and 1D doubly excited states associated with the hydrogenic thresholds up to N = 20 are presented and compared to available data from the literature. The classification of these doubly excited states by approximate quantum numbers is reexamined.
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References
D.R. Herrick: “New symmetry properties of atoms and molecules”, Adv. Chem. Phys., Vol. 52, (1983), pp. 1–115.
U. Fano: “Correlations of two excited electrons”: Rep. Prog. Phys., Vol. 46, (1983), pp. 97–165.
F.H. Read: “A New Class of Atomic States: The ‘Wannier-ridge’ Resonances”, Aust. J. Phys., Vol. 35, (1982), pp. 475–499.
C.D. Lin: “Doubly excited states, including new classification schemes,”Adv. At. Mol. Phys., Vol. 22, (1986), pp. 77–142.
A.R.P. Rau: “Group theoretical treatments of strongly correlated atomic dynamics,”Rep. Prog. Phys., Vol. 53, (1990), pp. 181–220.
J.M. Rost and J.S. Briggs: “Saddle structure of the three-body Coulomb problem; symmetries of doubly-excited states and propensity rules for transitions,”J. Phys. B: At. Mol. Opt. Phys., Vol. 24, (1991), pp. 4293–4322.
B. Gremaud and D. Delande: “Photo-ionization of the helium atom close to the double-ionization threshold: Towards the Ericson regime,”Europhys. Lett., Vol. 40, (1997), pp. 363–368.
J.S. Briggs: “The Dynamics of Two-electron Atoms,”Aust. J. Phys., Vol. 52, (1999), pp. 341–349.
G. Tanner, K. Richter and J.M. Rost: “The theory of two-electron atoms: between ground state and complete fragmentation,”Rev. Mod. Phys., Vol. 72, (2000), pp. 497–544.
J.W. Cooper, U. Fano and F. Prats: “Classification of two-electron excitation levels of helium,”Phys. Rev. Letters, Vol. 10, (1963), pp. 518–521.
S.I. Themelis, Y. Komninos and C.A. Nicolaides: “Properties of doubly excited states of H− and He associated with the manifolds from N=6 up to N=25,”Eur. Phys. J. D, Vol. 18, (2002), pp. 277–293.
Y. Komninos, S.I. Themelis, M. Chrysos and C.A. Nicolaides: “Properties of the Two-Electron Ionization Ladder and Related Good Quantum Numbers,”Int. J. Qu. Chem., Vol. S27, (1993), pp. 399–406.
S.I. Themelis and C.A. Nicolaides: “Partial widths with interchannel coupling to all orders for the H− two-electron ionizatrion ladder of1D symmetry,”Phys. Rev. A, Vol. 49, (1994), pp. 596–598.
S.I. Themelis and C.A. Nicolaides: “Energies, widths and l-dependence of the H− 3P and He− 4P TEIL states,”J. Phys. B.: At. Mol. Opt. Phys., Vol. 28, (1995), pp. L379–L385.
D.R. Herrick and O. Sinanoğlu: “Comparison of doubly-excited helium energy levels, and group-theoretical configuration-mixing predictions with large-configuration-interaction calculations and experimental spectra,”Phys. Rev. A, Vol. 11, (1975), pp. 97–110.
O. Sinanoğlu and D.R. Herrick: “Group theoretic prediction of configuration mixing effects due to Coulomb repulsions in atoms with applications to doubly-excited spectra,”J. Chem. Phys., Vol. 62, (1975), pp. 886–892.
C.E. Wulfman: “Approximate dynamical symmetry of two-electron atoms,”Chem. Phys. Lett., Vol. 23, (1973), pp. 370–372.
J.M. Feagin and J.S. Briggs: “Molecular Description of Two-Electron Atoms,”Phys. Rev. Lett., Vol. 57, (1986), pp. 984–987.
K. Mølmer and K. Taulbjerg: “Geometrical interpretation of doubly excited states,”J. Phys. B: At. Mol. Phys., Vol. 21, (1988), pp. 1739–1749.
J.-M. Rost, R. Gersbacher, K. Richter, J.S. Briggs and D. Wingten, “The nodal structure of doubly-excited resonant states of helium,”J. Phys. B: At. Mol. Opt. Phys., Vol. 24, (1991), pp. 2455–2466.
G.S. Ezra and R.S. Berry: “Classification of Doubly Excited States of Two-Electron Atoms,”Phys. Rev. Letters, Vol. 52, (1984), pp. 1252.
H.R. Sadeghpour: “Nonadiabatic selection rules for the photoabsorption of H− and He,”Phys. Rev. A., Vol. 43, (1991), pp. 5821–5831.
E.A. Gerasimovich, I.K. Dmitrieva and G.I. Plindov: “Propensity rules for radiative rates of high-lying doubly excited states of multiply charged helium-like ions,”J. Phys. B: At. Mol. Opt. Phys., Vol. 29, (1996), pp. 5227–5235.
A. Vollweiter, J.-M. Rost and J.S. Briggs: “Saddle dynamics of intrashell resonances: propensity rules for radiative transitions,”J. Phys. B: At. Mol. Opt. Phys., Vol. 24 (1991), pp. L155–L159.
L. Lipsky, R. Anania and M.J. Connely: “Energy levels and classifications of doubly-excited states in two-electron systems with nuclear charge, Z=1,2,3,4,5, below the N = 2 and N = 3 thresholds,”At. Data Nucl. Data Tables, Vol. 20, (1977), pp. 127–141.
O. Robaux: “Correlations in the1 P o levels of doubly excited helium below the He+ (N≤5) ionisation thresholds,”J. Phys. B: At. Mol. Phys., Vol. 20, (1987), pp. 2347–2357.
H. Bachau: “Correlations in the doubly excited states of O6+ (3l,nl′) with n = 3,4”, J. Phys. B: At. Mol. Phys., Vol. 21, (1988), pp. 3547–3558.
T.F. O’Malley and S. Geltman: “Compound-Atom States for Two-Electron Systems,”Phys. Rev., Vol. 137, (1965), pp. A1344-A1352.
Y. Komninos and C.A. Nicolaides: “The Wannier two-electron ionisation ladder in many-electron systems: the He1Po doubly excited states,”J. Phys. B: At. Mol. Phys., Vol. 19, (1986), pp. 1701–1711.
T. Koga and H. Matsuyama: “Interelectronic angle densities of equivalent electrons in Hartree-Fock theory of atoms,”J. Chem. Phys., Vol. 120, (2004), pp. 7831–7836.
Y.K. Ho: “P-wave doubly excited resonances in He,”J. Phys. B: At. Mol. Phys., Vol. 15, (1982), pp. L691–L695.
Y.K. Ho and J. Callaway: “Resonances in H− associated with the N = 4, 5, and 6 hydrogen thresholds,”Phys. Rev. A, Vol. 34, (1986), pp. 130–137.
M. Bylicki and C.A. Nicolaides: “Theoretical resolution of the H− resonance spectrum up to the n = 5 threshold: States of3Po symmetry,”Phys. Rev. A, Vol. 65, (2001), pp. 012504.
A.S. Ndao, A. Wagué, N.A.B. Faye and A. Konte: “High-lying1,3Po resonance states of He (n=4) and H− (n=5),”Eur. Phys. J.D., Vol. 5, (1999), pp. 327–334.
Y.K. Ho: “Resonances in H− associated with the N = 7 hydrogen threshold,”Phys. Rev. A., Vol. 41, (1990), pp. 1492–1495.
J.-M. Rost, K. Schulz, M. Domcke and G. Kaindl: “Resonance parameters of photo doubly excited helium,”J. Phys. B: At. Mol. Opt. Phys., Vol. 30, (1997), pp. 4663–4694.
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Themelis, S.I. High-lying doubly excited states of He and H−: electron correlations and classification schemes. centr.eur.j.phys. 3, 324–338 (2005). https://doi.org/10.2478/BF02475641
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DOI: https://doi.org/10.2478/BF02475641