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A model-potential approach to calculating positron-molecule binding energies and annihilation rates is developed. Unlike existing ab initio calculations, which have mostly been applied to strongly polar molecules, the present methodology…

Atomic Physics · Physics 2018-12-31 A. R. Swann , 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

Positron scattering and annihilation on noble gas atoms below the positronium formation threshold is studied ab initio using many-body theory methods. The many-body theory provides a near-complete understanding of the…

Atomic Physics · Physics 2014-09-12 D. G. Green , J. A. Ludlow , G. F. Gribakin

A model-potential approach has been developed to study positron interactions with molecules. Binding energies and annihilation rates are calculated for positron bound states with a range of alkane molecules, including rings and isomers. The…

Atomic Physics · Physics 2019-09-17 A. R. Swann , G. F. Gribakin

Using a complex model potential, we have calculated the total, integrated elastic, momentum transfer, absorption, and differential cross sections for positrons scattered from molecular hydrogen. The widely available software package…

Atomic Physics · Physics 2009-11-10 David D. Reid , William B. Klann , J. M. Wadehra

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

The confined variational method is used to generate a basis of correlated gaussians to describe the interaction region wave function for positron scattering from the H$_2$ molecule. The scattering length was $\approx -2.7$ $a_0$ while the…

Computational Physics · Physics 2015-05-14 J. -Y. Zhang , J. Mitroy , K. Varga

Enhanced positron annihilation on polyatomic molecules is a long-standing and complex problem. We report the results of calculations of resonant positron annihilation on methyl halides. A free parameter of our theory is the positron binding…

Atomic Physics · Physics 2010-02-16 G. F. Gribakin , C. M. R. Lee

We propose a framework for calculating scattering and bound state properties in anisotropic two-dimensional potentials. Using our method, we derive systematic approximations of partial wave phase shifts and binding energies. Moreover, the…

Quantum Gases · Physics 2012-01-31 Matthias Rosenkranz , Weizhu Bao

The model-potential approach previously developed by the authors to study positron interactions with molecules is used to calculate the positron binding energy for $n$-alkanes (C$_n$H$_{2n+2}$) and the corresponding cycloalkanes…

Atomic Physics · Physics 2020-11-13 A. R. Swann , G. F. Gribakin

The formulation of a suitable nonlocal model potential for electron exchange is presented, checked with electron-hydrogen and electron-helium scattering, and applied to the study of elastic and inelastic scattering and ionization of ortho…

Atomic and Molecular Clusters · Physics 2016-09-08 P. K. Biswas , Sadhan K. Adhikari

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 method to generate low-energy phase shifts for elastic scattering using bound-state calculations is applied to the problem of e+ - Mg and e+ - Zn scattering after an initial validation on the e+ - Cu system. The energy shift between a…

Atomic Physics · Physics 2009-11-13 J. Mitroy , J. Y. Zhang , M. W. J. Bromley , S. I. Young

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

Positron binding energies in the negative ions H$^-$, F$^-$, Cl$^-$ and Br$^-$, and the closed-shell atoms Be, Mg, Zn and Ca, are calculated via a many-body theory approach developed by the authors [J.~Hofierka \emph{et al.} Nature~{\bf…

Atomic Physics · Physics 2023-11-23 J. Hofierka , B. Cunningham , C. M. Rawlins , C. H. Patterson , D. G. Green

The recent theoretical and experimental activities in positronium (Ps) scattering by atoms and molecules are reviewed with special emphasis at low energies. We critically compare the results of different groups $-$ theoretical and…

Chemical Physics · Physics 2009-11-07 Sadhan K. Adhikari

Different computational methods are employed to evaluate elastic (rotationally summed) integral and differential cross sections for low energy (below about 10 eV) positron scattering off gas-phase C$_2$H$_2$ molecules. The computations are…

Chemical Physics · Physics 2009-11-13 J. Franz , F. A. Gianturco , K. L. Baluja , J. Tennyson , R. Carey , R. Montuoro , R. R. Lucchese , T. Stoecklin

Positronium (Ps) scattering by noble-gas atoms (He, Ne, Ar, Kr, and Xe) is studied in the frozen-target approximation and with inclusion of the van der Waals interaction. Single-particle electron and positron states in the field of the…

Atomic Physics · Physics 2018-01-23 A. R. Swann , G. F. Gribakin

In this paper we use a zero-range potential (ZRP) method to model positron interaction with molecules. This allows us to investigate the effect of molecular vibrations on positron-molecule annihilation using the van der Waals dimer Kr2 as…

Atomic Physics · Physics 2010-02-16 G. F. Gribakin , C. M. R. Lee

A method is proposed for detecting positron-atom bound states by observing enhanced positron annihilation due to electronic Feshbach resonances at electron-volt energies. The method is applicable to a range of open-shell transition metal…

Atomic Physics · Physics 2010-12-10 V. A. Dzuba , V. V. Flambaum , G. F. Gribakin
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