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The potential splitting approach incorporated into the framework of Faddeev-Merkuriev equations in the differential form is used for calculations of multichannel scattering in $e^-e^+\bar{p}$ and $e^+e^-\mbox{He}^{++}$ systems. Detailed…

Atomic Physics · Physics 2018-10-29 V A Gradusov , V A Roudnev , E A Yarevsky , S L Yakovlev

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

A few-body formalism is applied for computation of two different three-charge-particle systems. The first system is a collision of a slow antiproton, $\bar{\rm{p}}$, with a positronium atom: Ps$=(e^+e^-)$ $-$ a bound state of an electron…

Atomic Physics · Physics 2015-06-15 Renat A. Sultanov , D. Guster

Three-charge-particle collisions with participation of ultra-slow antiprotons ($\bar{\rm{p}}$) is the subject of this work. Specifically we compute the total cross sections and corresponding thermal rates of the following three-body…

Atomic Physics · Physics 2013-09-10 Renat A. Sultanov , D. Guster

Scattering and reaction cross sections of $e^{\pm}-Ps$ system are calculated for total angular momentum L=0, 1 and 2 and energies between the Ps(n=2)-Ps(n=3) threshold. We solved a set of Faddeev-Merkuriev and Lippmann-Schwinger integral…

Atomic Physics · Physics 2007-05-23 Z. Papp , D. Caballero , C-. Y. Hu

Electron-hydrogen scattering is studied in the Faddeev-Merkuriev integral equation approach. The equations are solved by using the Coulomb-Sturmian separable expansion technique. We present $S$- and $P$-wave scattering and reactions cross…

Atomic Physics · Physics 2009-11-07 Z. Papp , C-. Y. Hu

A quantum mechanical approach is proposed for the formation of antihydrogen in the ground and excited states (2s, 2p) via the mechanism of three body recombination (TBR) inside a trapped plasma of anti proton and positron or in the…

Atomic Physics · Physics 2009-11-13 S. Roy , S. Ghosh Deb , C. Sinha

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 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

Low-energy muon-transfer cross sections and rates in collisions of muonic atoms with hydrogen isotopes are calculated using a six-state close-coupling approximation to coordinate-space Faddeev-Hahn-type equations. In the muonic case…

Atomic Physics · Physics 2009-10-31 Renat A. Sultanov , Sadhan K. Adhikari

A new method for solving the configuration-space Faddeev equations for elastic p-d scattering below the deuteron-breakup threshold is described. Numerical solutions that demonstrate the convergence and accuracy of the method are given. The…

Nuclear Theory · Physics 2009-11-07 C. R. Chen , J. L. Friar , G. L. Payne

Exact four-body equations of Alt, Grassberger and Sandhas are solved for neutron-${}^3\mathrm{He}$ and proton-${}^3\mathrm{H}$ scattering in the energy regime above the four-nucleon breakup threshold. Cross sections and spin observables for…

Nuclear Theory · Physics 2017-06-05 A. Deltuva , A. C. Fonseca

We present a practical method to solve Faddeev three-body equations at energies above three-body breakup threshold as integral equations in coordinate space. This is an extension of previously used method for bound states and scattering…

Nuclear Theory · Physics 2008-11-26 S. Ishikawa

We present a method to integrate predictions from a theoretical model of a reaction with three bodies in the final state over the region of phase space covered by a given experiment. The method takes into account the true experimental…

Momentum space three-body Faddeev-like equations are used to calculate elastic, transfer and charge exchange reactions resulting from the scattering of deuterons on 12C and 16O or protons on 13C and 17O; 12C and 16O are treated as inert…

Nuclear Theory · Physics 2009-01-21 A. Deltuva , A. C. Fonseca

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

A novel approach is developed to find the three-body breakup amplitudes and cross sections within the modified Faddeev equation framework. The method is based on the lattice-like discretization of the three-body continuum with a three-body…

Nuclear Theory · Physics 2015-03-20 O. A. Rubtsova , V. N. Pomerantsev , V. I. Kukulin , Amand Faessler

The Continuum Discretized Coupled Channels (CDCC) method is a well established theory for direct nuclear reactions which includes breakup to all orders. Alternatively, the 3-body problem can be solved exactly within the Faddeev formalism…

Nuclear Theory · Physics 2013-05-30 N. J. Upadhyay , A. Deltuva , F. M. Nunes

This work presents three-body calculations of the cross sections for the $^3$He+T $\to$ n+p+$^4$He fusion reaction. These calculations were performed by solving a set of six coupled Faddeev integral equations, utilizing a cluster…

Nuclear Theory · Physics 2025-12-19 M. V. Egorov

Obtaining cross sections for nuclear reactions at intermediate energies based on the Glauber formulation has a long tradition. Only recently the energy regime of a few hundred MeV has become accessible to ab-initio Faddeev calculations of…

Nuclear Theory · Physics 2008-11-26 Ch. Elster , T. Lin , W. Gloeckle , S. Jeschonnek
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