### Abstract

Original language | English |
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Pages (from-to) | 339-355 |

Number of pages | 17 |

Journal | Journal of Physics B: Atomic Molecular and Optical Physics |

Volume | 35 |

Issue number | 2 |

Publication status | Published - 28 Jan 2002 |

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*Journal of Physics B: Atomic Molecular and Optical Physics*, vol. 35, no. 2, pp. 339-355.

**Convergence of partial-wave expansions for energies, scattering amplitudes and positron annihilation rates.** / Gribakin, G. F.; Ludlow, J.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Convergence of partial-wave expansions for energies, scattering amplitudes and positron annihilation rates

AU - Gribakin, G. F.

AU - Ludlow, J.

PY - 2002/1/28

Y1 - 2002/1/28

N2 - We use many-body theory to find the asymptotic behaviour of second-order correlation corrections to the energies and positron annihilation rates in many- electron systems with respect to the angular momenta l of the single-particle orbitals included. The energy corrections decrease as 1/(l+1/2)4, in agreement with the result of Schwartz, whereas the positron annihilation rate has a slower 1/(l+1/2)2 convergence rate. We illustrate these results by numerical calculations of the energies of Ne and Kr and by examining results from extensive con?guration-interaction calculations of PsH binding and annihilation.

AB - We use many-body theory to find the asymptotic behaviour of second-order correlation corrections to the energies and positron annihilation rates in many- electron systems with respect to the angular momenta l of the single-particle orbitals included. The energy corrections decrease as 1/(l+1/2)4, in agreement with the result of Schwartz, whereas the positron annihilation rate has a slower 1/(l+1/2)2 convergence rate. We illustrate these results by numerical calculations of the energies of Ne and Kr and by examining results from extensive con?guration-interaction calculations of PsH binding and annihilation.

M3 - Article

VL - 35

SP - 339

EP - 355

JO - Journal of Physics B: Atomic Molecular and Optical Physics

JF - Journal of Physics B: Atomic Molecular and Optical Physics

SN - 0953-4075

IS - 2

ER -