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- W1666964689 abstract "Close to converged energies and expectation values for ${e}^{+}mathrm{He}(^{3}S^{e})$ are computed using a ground state wave function consisting of 1500 explicitly correlated Gaussians. The best estimate of the ${e}^{+}mathrm{He}(^{3}S^{e})$ energy was $ensuremath{-}2.250phantom{rule{0.2em}{0ex}}595phantom{rule{0.2em}{0ex}}08phantom{rule{0.3em}{0ex}}text{hartree}$, which has a binding energy of $0.000phantom{rule{0.2em}{0ex}}595phantom{rule{0.2em}{0ex}}08phantom{rule{0.3em}{0ex}}text{hartree}$ against dissociation into $mathrm{Ps}+{mathrm{He}}^{+}$. The $2ensuremath{gamma}$ annihilation rate for the spin doublet state was $5.713ifmmodetimeselsetexttimesfi{}{10}^{9}phantom{rule{0.3em}{0ex}}{mathrm{s}}^{ensuremath{-}1}$. The estimated annihilation rate with the core ${mathrm{He}}^{+}$ electron was $2.506ifmmodetimeselsetexttimesfi{}{10}^{6}phantom{rule{0.3em}{0ex}}{mathrm{s}}^{ensuremath{-}1}$. The derived enhancement factor for annihilation with the ${mathrm{He}}^{+}(1s)$ core was 2.29, just over 10% smaller than the enhancement factor derived from analyses of annihilation during ${e}^{+}text{ensuremath{-}}{mathrm{He}}^{+}$ scattering. The diffuse nature of the wave function, with well separated ${mathrm{He}}^{+}$ and Ps subsystems, is demonstarted to be on the threshold of satisfying the formal criteria that define a quantum halo state." @default.
- W1666964689 created "2016-06-24" @default.
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- W1666964689 date "2005-09-21" @default.
- W1666964689 modified "2023-10-16" @default.
- W1666964689 title "Expectation values of the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi mathvariant=normal>He</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mmultiscripts><mml:mi>S</mml:mi><mml:none /><mml:mi>e</mml:mi><mml:mprescripts /><mml:none /><mml:mn>3</mml:mn></mml:mmultiscripts><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>system" @default.
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- W1666964689 doi "https://doi.org/10.1103/physreva.72.032503" @default.
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