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A many-body theory approach is developed for the problem of positron-atom scattering and annihilation. Strong electron-positron correlations are included non-perturbatively through the calculation of the electron-positron vertex function.…

Atomic Physics · Physics 2007-05-23 G. F. Gribakin , J. Ludlow

The many-body-theory approach to positronium-atom interactions developed in [Phys. Rev. Lett. \textbf{120}, 183402 (2018)] is applied to the sequence of noble-gas atoms He-Xe. The Dyson equation is solved separately for an electron and…

Atomic Physics · Physics 2023-05-24 A. R. Swann , D. G. Green , G. F. Gribakin

Diagrammatic many-body theory is used to calculate the scattering phase shifts, normalized annihilation rates $Z_{\rm eff}$ and annihilation gamma spectra for positron collisions with the hydrogen-like ions He$^+$, Li$^{2+}$, B$^{4+}$ and…

Atomic Physics · Physics 2014-04-22 D. G. Green , G. F. Gribakin

A many-body theory approach to the calculation of gamma spectra of positron annihilation on many-electron atoms is developed. We evaluate the first-order correlation correction to the annihilation vertex and perform numerical calculations…

Atomic Physics · Physics 2010-02-16 L. J. M. Dunlop , G. F. Gribakin

The recently developed ab initio many-body theory of positron molecule binding [J. Hofierka et al., Nature, 606, 688 (2022)] is combined with the shifted pseudostates method [A. R. Swann and G. F. Gribakin, Phys. Rev. A 101, 022702 (2020)]…

Atomic Physics · Physics 2023-07-11 C. M. Rawlins , J. Hofierka , B. Cunningham , C. H. Patterson , D. G. Green

Doppler-broadened $\gamma$-ray spectra for positron annihilation on molecules are calculated using many-body theory. By employing Gaussian bases for the electron and positron wavefunctions, a computable expression that involves a…

Atomic Physics · Physics 2025-02-19 S. K. Gregg , J. P. Cassidy , A. R. Swann , J. Hofierka , B. Cunningham , D. G. Green

Positrons bind to molecules leading to vibrational excitation and spectacularly enhanced annihilation. Whilst positron binding energies have been measured via resonant annihilation spectra for $\sim$90 molecules in the past two decades, an…

Atomic Physics · Physics 2023-03-23 J. Hofierka , B. Cunningham , C. M. Rawlins , C. H. Patterson , D. G. Green

A many-body theory approach developed by the authors [Phys. Rev. A 70, 032720 (2004)] is applied to positron bound states and annihilation rates in atomic systems. Within the formalism, full account of virtual positronium (Ps) formation is…

Atomic Physics · Physics 2014-11-20 J. A. Ludlow , G. F. Gribakin

Understanding the dynamics of positron cooling in gases, including the fraction of positrons surviving to thermalisation, is critical for accurate interpretation of positron lifetime spectra, for the development of efficient positron…

Atomic Physics · Physics 2017-11-22 D. G. Green

Many-body theory is developed to calculate the $\gamma$-spectra for positron annihilation with valence and core electrons in the noble gas atoms. A proper inclusion of correlation effects and core annihilation provides for an accurate…

Atomic Physics · Physics 2023-03-23 D. G. Green , G. F. Gribakin

$\gamma$-ray spectra for positron annihilation with the core and valence electrons of the noble gas atoms Ar, Kr and Xe is calculated within the framework of diagrammatic many-body theory. The effect of positron-atom and short-range…

Atomic Physics · Physics 2015-03-06 D. G. Green , G. F. Gribakin

A problem to account for the direct electron-positron annihilation in positron-hydrogen scattering above the positronium formation threshold has been resolved within the time independent formalism. The generalization of the optical theorem…

Atomic Physics · Physics 2011-02-03 S L Yakovlev , C-Y Hu , D Caballero

A many-body-theory approach has been developed to study positronium-atom interactions. As first applications, we calculate the elastic scattering and momentum-transfer cross sections and the pickoff annihilation rate $^1Z_\text{eff}$ for Ps…

Atomic Physics · Physics 2018-05-07 D. G. Green , A. R. Swann , G. F. Gribakin

$\gamma$ spectra for positron annihilation in noble-gas atoms are calculated using many-body theory for positron momenta up to the positronium-formation threshold. This data is used, together with time-evolving positron-momentum…

Atomic Physics · Physics 2017-11-22 D. G. Green

A long-standing problem to account for the electron-positron annihilation in positron Hydrogen scattering above the Positronium formation threshold has been resolved by the use of the three-body Faddeev formalism. The multichannel…

Atomic Physics · Physics 2007-05-23 S. L. Yakovlev , C-. Y. Hu

This paper is devoted to study many-body effects in the positron annihilation experiment, both electron-positron (e-p) and electron-electron (e-e) correlations. Various theories of the e-p interaction in real solids were used to verify them…

Materials Science · Physics 2007-05-23 G. Kontrym-Sznajd , H. Sormann

We investigate positron annihilation in electron liquid as a case study for many-body theory, in particular the optimized Fermi Hypernetted Chain (FHNC-EL) method. We examine several approximation schemes and show that one has to go up to…

Condensed Matter · Physics 2010-09-24 V. Apaja , S. Denk , E. Krotscheck

The aim of this work is to identify the mechanisms responsible for very large rates and other peculiarities observed in low-energy positron annihilation on molecules. The two mechanisms considered are: (i) Direct annihilation of the…

Atomic Physics · Physics 2009-10-31 G. F. Gribakin

Positron binding in parabenzoquinone is studied using \textit{ab initio} many-body theory. The effects of electron-positron correlations including polarization, virtual positronium formation and positron-hole repulsion, as well as those of…

Chemical Physics · Physics 2025-02-17 S. K. Gregg , J. Hofierka , B. Cunningham , D. G. Green

The many-body system comprising a He nucleus, three electrons, and a positron has been studied using the exact diagonalization technique. The purpose has been to clarify to which extent the system can be considered as a distinguishable…

Atomic and Molecular Clusters · Physics 2013-05-31 A. Zubiaga , F. Tuomisto , M. J. Puska
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