Incorporation of threshold phenomena in three-body Coulomb continuum wavefunctions

被引：12
|
作者：
Berakdar, J
机构：
[1] Atom./Molecular Physics Laboratories, Res. Sch. of Phys. Sci./Engineering, Australian National University, Canberra
来源：
AUSTRALIAN JOURNAL OF PHYSICS | 1996年 / 49卷 / 06期
关键词：
D O I：
10.1071/PH961095
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work a three-body Coulomb wavefunction for the description of two continuum electrons moving in the field of a nucleus is constructed such that the Wannier threshold law for double escape is reproduced and the asymptotic Coulomb boundary conditions as well as the Kato cusp conditions are satisfied. It is shown that the absolute value of the total cross section, as well as the spin asymmetry, are well described by the present approach. Further, the excess-energy sharing between the two escaping electrons is calculated and analysed in light of the Wannier theory predictions. This is the first time an analytical three-body wavefunction is presented which is asymptotically exact and capable of describing threshold phenomena.
引用
收藏
页码：1095 / 1108
页数：14
相关论文
共 50 条
  • [41] Accurate ground state wavefunctions for several three-body systems
    Rodriguez, K. V.
    Gonzalez, Y. V.
    Gasaneo, G.
    Ancarani, L. U.
    Mitnik, D. M.
    HYPERFINE INTERACTIONS, 2009, 193 (1-3): : 147 - 151
  • [42] Three-body continuum states on a Lagrange mesh
    Descouvemont, P
    Tursunov, E
    Baye, D
    NUCLEAR PHYSICS A, 2006, 765 (3-4) : 370 - 389
  • [43] Three-body continuum of 26O
    Adahchour, A.
    Descouvemont, P.
    PHYSICAL REVIEW C, 2017, 96 (05)
  • [44] Efimov states embedded in the three-body continuum
    Mehta, N. P.
    Rittenhouse, Seth T.
    D'Incao, J. P.
    Greene, Chris H.
    PHYSICAL REVIEW A, 2008, 78 (02):
  • [45] Using 'dressed' convoluted quasi-Sturmian functions as a basis for Coulomb three-body continuum problems
    Zaytsev, A. S.
    Zaytseva, D. S.
    Ancarani, L. U.
    Zaytsev, S. A.
    31ST INTERNATIONAL CONFERENCE ON PHOTONIC, ELECTRONIC AND ATOMIC COLLISIONS (ICPEAC XXXI), 2020, 1412
  • [46] Electron correlation in three-body Coulomb states of barium
    vanLeeuwen, R
    Ubachs, W
    Camus, P
    Hogervorst, W
    PHYSICAL REVIEW A, 1996, 54 (01) : R17 - R20
  • [47] Asymptotic expansions for three-body Coulomb scattering state
    Kunikeev, SD
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (04): : 677 - 692
  • [48] Three-body quantum Coulomb problem: Analytic continuation
    Turbiner, A. V.
    Lopez Vieyra, J. C.
    Olivares Pilon, H.
    MODERN PHYSICS LETTERS A, 2016, 31 (28)
  • [49] Muonic three-body Coulomb systems in the hyperspherical approach
    Decker, M
    Sandhas, W
    Belyaev, VB
    PHYSICAL REVIEW A, 1996, 53 (02): : 726 - 736
  • [50] Three-Body Coulomb Problems with Generalized Sturmian Functions
    Gasaneo, G.
    Ancarani, L. U.
    Mitnik, D. M.
    Randazzo, J. M.
    Frapiccini, A. L.
    Colavecchia, F. D.
    PROCEEDINGS OF MEST 2012: EXPONENTIAL TYPE ORBITALS FOR MOLECULAR ELECTRONIC STRUCTURE THEORY, 2013, 67 : 153 - 216
12345