Calculation of Low-Energy Positron-Atom Scattering with Square-Integrable Wavefunctions

被引:1
作者
Gregg, Sarah [1 ]
Gribakin, Gleb [1 ]
机构
[1] Queens Univ Belfast, Sch Math & Phys, Belfast BT7 1NN, North Ireland
关键词
theoretical atomic and molecular physics; positron; hydrogen; annihilation; phase shift; scattering; ELASTIC-SCATTERING; ANNIHILATION; STATE;
D O I
10.3390/atoms10040097
中图分类号
O64 [物理化学(理论化学)、化学物理学]; O56 [分子物理学、原子物理学];
学科分类号
070203 ; 070304 ; 081704 ; 1406 ;
摘要
The variational method is applied to the low-energy positron scattering and annihilation problem. The ultimate aim of the investigation is to find a computationally economical way of accounting for strong electron-positron correlations, including the effect of virtual positronium formation. The method is applied to the study of elastic s-wave positron scattering from a hydrogen atom. A generalized eigenvalue problem is set up and solved to obtain s-wave positron-hydrogen scattering phase shifts within 8x10(-3) rad of accepted values. This is achieved using a small number of terms in the variational wavefunction; in particular, only nine terms that depend on the electron-positron distance are included. The annihilation parameter Z(eff) is also calculated and is found to be in good agreement with benchmark calculations.
引用
收藏
页数:20
相关论文
共 36 条
[21]   Many-body theory of positron binding to polyatomic molecules [J].
Hofierka, Jaroslav ;
Cunningham, Brian ;
Rawlins, Charlie M. ;
Patterson, Charles H. ;
Green, Dermot G. .
NATURE, 2022, 606 (7915) :688-+
[22]  
Humberston J. W., 1972, Journal of Physics B (Atomic and Molecular Physics), V5, P1138, DOI 10.1088/0022-3700/5/6/016
[23]   Positron-hydrogen scattering in the vicinity of the positronium formation threshold [J].
Humberston, JW ;
VanReeth, P ;
Watts, MST ;
Meyerhof, WE .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1997, 30 (10) :2477-2493
[24]   Annihilation in low energy positron-helium scattering [J].
Humberston, JW ;
Van Reeth, P .
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS, 1998, 143 (1-2) :127-134
[25]   About the ground state of the helium atom [J].
Hylleraas, Egil A. .
ZEITSCHRIFT FUR PHYSIK, 1928, 48 (7-8) :469-494
[26]   New precision measurement of hyperfine splitting of positronium [J].
Ishida, A. ;
Namba, T. ;
Asai, S. ;
Kobayashi, T. ;
Saito, H. ;
Yoshida, M. ;
Tanaka, K. ;
Yamamoto, A. .
PHYSICS LETTERS B, 2014, 734 :338-344
[27]   Near-threshold positron-impact ionization of atomic hydrogen [J].
Kadyrov, A. S. ;
Bray, I. ;
Stelbovics, A. T. .
PHYSICAL REVIEW LETTERS, 2007, 98 (26)
[28]   Two-center convergent close-coupling approach to positron-hydrogen collisions [J].
Kadyrov, Alisher S. ;
Bray, Igor .
2002, American Physical Society (66)
[29]  
Landau L.D., 1977, QUANTUM MECH
[30]   Convergence of configuration-interaction single-center calculations of positron-atom interactions [J].
Mitroy, J. ;
Bromley, M. W. J. .
PHYSICAL REVIEW A, 2006, 73 (05)