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  • 1
    Publication Date: 2011-08-16
    Description: Positron-hydrogen scattering below positronium pickup threshold by Hylleraas bound technique, discussing phase shifts and linear parameters
    Keywords: PHYSICS, ATOMIC, MOLECULAR, AND NUCLEAR
    Type: ; ADEMIE DES SCIENCES
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  • 2
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    Publication Date: 2011-08-16
    Description: P autoionization states of helium and hydrogen negative ions, calculating widths and shifts
    Keywords: PHYSICS, ATOMIC, MOLECULAR, AND NUCLEAR
    Type: ; ADEMIE DES SCIENCES
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  • 3
    Publication Date: 2011-08-16
    Description: The positions of the resonances calculated by the stabilization method can be improved by inclusion of the shift as given by Hazi and Fels. It is also indicated that the phase shifts calculated by the Harris method at incident energies corresponding to the stabilized roots give the positions and the widths of the resonances reasonably well.
    Keywords: PHYSICS, ATOMIC, MOLECULAR, AND NUCLEAR
    Type: Physical Review A - General Physics; vol. 10
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  • 4
    Publication Date: 2011-08-16
    Description: Rigorous lower-bound p-wave positron-hydrogen phase shifts are calculated below the positronium pickup threshold. The wave function is expanded in terms of the two linearly independent D functions each multiplied by an associated Hilleraas-type radial function with two parameters. Adiabatic and nonadiabatic corrections have been included. The results are found to be larger than Armstead's (1968) in all cases near the upper edge of his estimated uncertainty.
    Keywords: PHYSICS, ATOMIC, MOLECULAR, AND NUCLEAR
    Type: Physical Review A - General Physics; vol. 9
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  • 5
    Publication Date: 2011-08-16
    Description: Using the precision s- and p-wave elastic-scattering wave functions obtained previously, we have calculated the annihilation rate for positrons colliding with hydrogen atoms below the positronium-formation threshold. The s-wave results agree well with those of Humberston, while the p-wave results, which are new, contribute about 20% of the total at the higher energies.
    Keywords: PHYSICS, ATOMIC, MOLECULAR, AND NUCLEAR
    Type: Physical Review A - General Physics; vol. 9
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  • 6
    Publication Date: 2011-08-16
    Description: Development of a method to remedy the defects of the projection-operator technique for calculating electron resonances in scattering from many-electron targets. It is recommended that the projection operator Q be replaced by a quasi-projection operator which yields a discrete spectrum which can be made to be in essentially a unique correspondence with resonance energies. By relaxing the idempotency requirement, it is found possible to define two forms of this quasi-projection operator. The simpler of the two forms is tested on e-H and e-H(+) systems; the two lowest resonant energies differ by less than 0.01 eV from rigorous QHQ results. For many-electron targets it is further argued that replacement of the exact target eigenfunction by reasonable approximations in constructing the quasi-projection operator will affect neither the discreteness of the above-mentioned discrete spectrum nor the proximity of its eigenvalues to the resonant energies.
    Keywords: PHYSICS, ATOMIC, MOLECULAR, AND NUCLEAR
    Type: Physical Review A - General Physics; vol. 5
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  • 7
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    Publication Date: 2011-08-16
    Description: The stabilization method for positions and widths of resonances has been applied up to now only to model problems or to problems for which definitive calculations are not possible. The method is now applied to autoionization states in He and H(-), where accurate calculations are available. It is concluded that reasonably accurate results can be obtained by this method.
    Keywords: PHYSICS, ATOMIC, MOLECULAR, AND NUCLEAR
    Type: Physical Review A - General Physics; vol. 9
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  • 8
    Publication Date: 2011-08-16
    Description: Results of a calculation of the lowest (1 S) resonance below the first excitation threshold in electron-hydrogen scattering. This calculation is based on a precision Hylleraas calculation of the resonant wave function, combined with various reasonable physically motivated approximations for the nonresonant continuum. These approximations are basically the exchange- and polarized-orbital approximations. The values obtained, together with previous results obtained for the two higher (3 P and 1 D) resonances, are compared with the previous most accurate calculations, and some differences are noted.
    Keywords: PHYSICS, ATOMIC, MOLECULAR, AND NUCLEAR
    Type: Physical Review A - General Physics; vol. 8
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  • 9
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    Publication Date: 2011-08-16
    Description: Burke (1967) observed a number of resonances in He and H(-) below the threshold of H(+) and H. Bhatia et al. (1969, 1967) showed that Feshbach's Q-operator formalism can be used to calculate the positions and widths of the S and P autoionization states. These calculations are extended to the D autoionization states in He and H(-) observed below the n = 2 threshold of the respective targets. The shifts of the states are found to be positive for all the states computed.
    Keywords: PHYSICS, ATOMIC, MOLECULAR, AND NUCLEAR
    Type: Physical Review A - General Physics; vol. 6
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  • 10
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    Publication Date: 2011-08-16
    Description: The states considered lie below the n = 2 threshold of He(+) and decay radiatively to the lower states. The most general D-state wave function of odd parity of two electrons is examined. The results presented are optimized with respect to four nonlinear parameters for 112 terms. A mass-polarization correction is given for all the states listed. The positions of the D states, including the reduced mass and the mass-polarization corrections, with respect to the ground state of He are reported.
    Keywords: PHYSICS, ATOMIC, MOLECULAR, AND NUCLEAR
    Type: Physical Review A - General Physics; vol. 6
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