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

G. F. Gribakin, J. Ludlow

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)339-355
Number of pages17
JournalJournal of Physics B: Atomic Molecular and Optical Physics
Volume35
Issue number2
Publication statusPublished - 28 Jan 2002

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positron annihilation
elastic waves
scattering amplitude
energy
angular momentum
orbitals
electrons
interactions

Cite this

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title = "Convergence of partial-wave expansions for energies, scattering amplitudes and positron annihilation rates",
abstract = "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.",
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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

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