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We calculate the cross section for s-wave neutralino annihilation to three-body final states below the W^+ W^- and t-bar t thresholds. Such three-body channels may dominate the annihilation cross section if the neutralino mass is not too…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xuelei Chen , Marc Kamionkowski

We investigate the elastic and inelastic scattering of positrons by sodium atoms in both the ground state, Na($3s$), and excited states, Na*($3p$, $4s$, $3d$), using the hyperspherical coordinate method with a model potential to represent…

Atomic Physics · Physics 2025-07-16 Ning-Ning Gao , Hui-Li Han , Ting-Yun Shi

The formation of positive ions of antihydrogen $\bar{\rm{H}}^+$ via the three body reaction (i) $\rm{e}^+ + \rm{e}^- + \bar{\rm{H}} \rightarrow \rm{e}^- + \bar{\rm{H}}^+$ is considered. In reaction (i), free positrons $\rm{e}^+$ are…

Atomic Physics · Physics 2021-07-19 A. Jacob , C. Müller , A. B. Voitkiv

The exact solution of a diffusion$-$reaction model for the trapping and annihilation of positrons at interfaces of precipitate$-$matrix composites is presented considering both cylindrical or spherical precipitates. Diffusion-limitation is…

Soft Condensed Matter · Physics 2020-01-29 Roland Würschum , Laura Resch , Gregor Klinser

New results are presented for Ps(1s) scattering by H(1s), He(1$^1$S) and Li(2s). Calculations have been performed in a coupled state framework, usually employing pseudostates, and allowing for excitation of both the Ps and the atom. In the…

Atomic Physics · Physics 2015-06-26 H R J Walters , A C H Yu , S Sahoo , Sharon Gilmore

The relativistic Faddeev equation for three-nucleon scattering is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. The equation is solved through Pad\'e summation,…

Nuclear Theory · Physics 2008-11-26 T. Lin , Ch. Elster , W. N. Polyzou , H. Witala , W. Gloeckle

A novel method of studying e+e- annihilation into hadrons using initial state radiation at e+e- colliders is described. After brief history of the method, its theoretical foundations are considered. Numerous experiments in which exclusive…

High Energy Physics - Experiment · Physics 2015-05-28 V. P. Druzhinin , S. I. Eidelman , S. I. Serednyakov , E. P. Solodov

Bound state properties of the ground (bound) ${}^{1}S(L = 0)-$state(s) in the four-body positronium hydrides ${}^{1}$HPs, ${}^{2}$HPs (DPs), ${}^{3}$HPs (TPs) and MuPs are determined and investigated. By using numerical data from our…

Atomic Physics · Physics 2024-05-16 Alexei M. Frolov

The effect of confinement on the self-annihilation rate of positronium is studied in three levels of approximation. Artificial restriction of the electron-positron separation leads to an increase in the annihilation rate over its vacuum…

Atomic Physics · Physics 2021-08-05 A. R. Swann , D. G. Green , G. F. Gribakin

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 equations which relate three-body and two-body symmetry violating scattering amplitudes are derived in the first order of symmetry violating interactions. They can be used to obtain three-body symmetry violating scattering amplitudes…

Nuclear Theory · Physics 2014-11-21 Vladimir Gudkov , Young-Ho Song

We apply the modern multiloop methods to the calculation of the total cross sections of electron-positron annihilation to 2 and 3 photons exactly in $s/m^2$ with the accuracy $O(\alpha^3)$. Examining the asymptotics of our results, we find…

High Energy Physics - Phenomenology · Physics 2020-10-28 Roman N. Lee

Electron-positron annihilation into hadrons plus an energetic photon from initial state radiation allows the hadronic cross-section to be measured over a wide range of energies. The full next-to-leading order QED corrections for the…

High Energy Physics - Phenomenology · Physics 2011-09-13 G. Rodrigo , H. Czyz , J. H. Kuhn , M. Szopa

Based on a three-potential formalism we propose mathematically well-behaved Faddeev-type integral equations for the atomic three-body problem and descibe their solutions in Coulomb-Sturmian space representation. Although the system contains…

Atomic Physics · Physics 2009-10-30 Z. Papp

Studies based on imaging the annihilation of the electron (e$^{-}$) and its antiparticle positron (e$^{+}$) open up several interesting applications in nuclear medicine and fundamental research. The annihilation process involves both the…

Positronium-hydrogen (Ps-H) scattering is of interest, as it is a fundamental four-body Coulomb problem. We have investigated low-energy Ps-H scattering below the Ps(n=2) excitation threshold using the Kohn variational method and variants…

Atomic Physics · Physics 2015-08-25 Denton Woods

The electron positron annihilation reaction into four pion production has been studied, through the channel $e^++e^-\to \bar \rho+\rho $. The differential (and total) cross sections and various polarization observables for this reaction…

High Energy Physics - Phenomenology · Physics 2008-12-18 C. Adamuščín , G. I. Gakh , E. Tomasi-Gustafsson

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

The four-body equations of Alt, Grassberger and Sandhas are solved, for the first time, for proton-${}^3\mathrm{He}$ scattering including the Coulomb interaction between the three protons using the method of screening and renormalization as…

Nuclear Theory · Physics 2008-11-26 A. Deltuva , A. C. Fonseca

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