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Related papers: Multichannel Formalism for Positron-Hydrogen Scatt…

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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

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 long-standing problem with the solution of the Schr\"odinger equation has been its inability to account for the electron-positron annihilation in positron hydrogen scattering above the positronium formation threshold. This letter shows…

Atomic and Molecular Clusters · Physics 2007-05-23 C-. Y. Hu , D. Caballero , A. Forrester , Z. Papp

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

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

We apply a new highly efficient method of solving Faddeev-Merkuriev equations to multi-channel scattering calculations of the antihydrogen formation cross section for antiproton scattering off the ground and excited states of the…

Atomic Physics · Physics 2021-07-14 V. A. Gradusov , V. A. Roudnev , E. A. Yarevsky , S. L. Yakovlev

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

The annihilation channel is implemented into the front form calculations of the positronium spectrum presented in a previous publication. The effective Hamiltonian is calculated analytically. Its eigensolutions are obtained numerically. A…

High Energy Physics - Theory · Physics 2007-05-23 Uwe Trittmann

A three-body scattering process in the presence of Coulomb interaction can be decomposed formally into a two-body single channel, a two-body multichannel and a genuine three-body scattering. The corresponding integral equations are coupled…

Atomic Physics · Physics 2009-11-07 Z. Papp , C-. Y. Hu , Z. T. Hlousek , B. Kónya , S. L. Yakovlev

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

The electron-positron annihilation process is investigated within the framework of Podolsky's generalized electrodynamics at finite temperature. In this theory, a higher-derivative term modifies the photonic kinetic sector, introducing a…

High Energy Physics - Theory · Physics 2025-09-09 D. S. Cabral , L. A. S. Evangelista , L. H. A. R. Ferreira , A. F. Santos

In previous papers we have proposed a method for the ab initio calculation of fully differential cross-sections for electron scattering in liquids and applied it to liquid argon, xenon and krypton. In this paper, we extend the procedure to…

Computational Physics · Physics 2020-10-28 D. G. Cocks , R. P. McEachran , G. J. Boyle , E. Cheng , R. D. White

We discuss the single-quantum positron annihilation with a bound electron in the near threshold region. The angular distribution and the total cross section are considered. We obtain a simple analytical expression for the Coulomb potential…

High Energy Physics - Phenomenology · Physics 2025-01-28 Peter. A. Krachkov , Simon. V. Sorokin

Within the hyperspherical harmonics approach the three-body problem is reduced to a motion of one effective particle in a "strongly deformed" field, which is described in coupled-channel formalism. This method is especially suited to…

Nuclear Theory · Physics 2019-07-26 O. M. Sukhareva , L. V. Grigorenko , D. A. Kostyleva , M. V. Zhukov

A general proof of the optical theorem (also known as the optical cross-section theorem) is presented that reveals the intimate connection between the forward scattering amplitude and the absorption-plus-scattering of the incident wave…

Classical Physics · Physics 2012-05-28 Masud Mansuripur

We introduce a formalism to solve the problem of photon scattering from a system of multi-level quantum emitters. Our approach provides a direct solution of the scattering dynamics. As such the formalism gives the scattered fields…

Quantum Physics · Physics 2018-04-25 Sumanta Das , Vincent E. Elfving , Florentin Reiter , Anders S. Sørensen

The differential cross-section of the single-photon annihilation of channeled positron on the K-shell electron of one of the crystal atoms is calculated and angular distribution of emitted photons is investigated. It is shown that…

Quantum Physics · Physics 2022-01-13 K. B. Korotchenko , Y. P. Kunashenko

The process of electron-positron annihilation into two photons in the presence of an intense classical plane wave of an arbitrary shape is investigated analytically by employing light-cone quantization and by taking into account the effects…

High Energy Physics - Phenomenology · Physics 2020-12-29 S. Bragin , A. Di Piazza

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

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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