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From dispersion relation approach, a formalism that describes final state interaction among three particles in a coupled-channel system is presented in this work. Different representations of coupled-channel three-body formalism with only…

High Energy Physics - Phenomenology · Physics 2016-07-19 Peng Guo

The formal scattering theory is developed for the three-particle differential Faddeev equations. The theory is realised along the same line as in the standard two-body case. The solution of the scattering problem is expressed in terms of…

Nuclear Theory · Physics 2019-05-01 S. L. Yakovlev

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

We solve the Lippmann-Schwinger equation describing elastic scattering of preformed pairs (e.g. bipolarons) off a short-range scattering center and find the two-particle transmission through a thin potential barrier. While the pair…

Strongly Correlated Electrons · Physics 2007-05-23 A. S. Alexandrov , A. M. Bratkovsky , P. E. Kornilovitch

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

A variational technique to describe the ground and scattering states below the break-up threshold for a three-nucleon system is developed. The method consists in expanding the wave function in terms of correlated Harmonic Hyperspherical…

Nuclear Theory · Physics 2009-10-30 A. Kievsky , M. Viviani , S. Rosati

We test microscopic global optical potential in three-body calculations of deuteron-nucleus scattering. We solve Faddeev-type equations for three-body transition operators. We calculate differential cross section and analyzing power for the…

Nuclear Theory · Physics 2025-02-25 A. Deltuva , D. Jurčiukonis , D. Likandrovas , J. Torres Fernandez

The elastic and alpha-production channels for the 6He+208Pb reaction are investigated at energies around the Coulomb barrier (E_{lab}=14, 16, 18, 22, and 27 MeV). The effect of the two-neutron transfer channels on the elastic scattering has…

Nuclear Theory · Physics 2014-11-21 J. P. Fernandez-Garcia , M. A. G. Alvarez , A. M. Moro , M. Rodriguez-Gallardo

The scattering problem for two particles interacting via the Coulomb potential is examined for the case where the potential has a sharp cut-off at some distance. The problem is solved for two complimentary situations, firstly when the…

Nuclear Theory · Physics 2015-05-18 S L Yakovlev , M V Volkov , E Yarevsky , N Elander

Many-body quantum-mechanical scattering problem is solved asymptotically when the size of the scatterers (inhomogeneities) tends to zero and their number tends to infinity. A method is given for calculation of the number of small…

Mathematical Physics · Physics 2015-05-20 A. G. Ramm

As part of our program to develop the description of three-body effects in quantum vacuum phenomena, we study the three-body interaction of two anisotropically polarizable atoms with a perfect electrically conducting plate, a generalization…

Quantum Physics · Physics 2022-03-02 Kimball A. Milton , Elom Abalo , Prachi Parashar , K. V. Shajesh

The elastic collision between two ortho-positronium (e.g. S=1) atoms is studied using an ab-initio static-exchange model (SEM) in the center of mass (CM) frame considering the system as a four-body Coulomb problem where all the Coulomb…

Atomic Physics · Physics 2015-05-05 Hasi Ray

The goal of this paper is to construct an effective model for studying the asymptotic solution of the scattering problem of three one-dimensional quantum particles with finite (short-range) attractive pair potentials. The asymptotic nature…

Mathematical Physics · Physics 2024-05-21 Sergey B. Levin , Alexandr S. Bagmutov , Victor O. Toropov

The three-nucleon bound and scattering equations are solved in momentum space for a coupled-channel Hamiltonian. The Hamiltonian couples the purely nucleonic sector of Hilbert space with a sector in which one nucleon is excited to a…

Nuclear Theory · Physics 2022-09-13 A. Deltuva , P. U. Sauer

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

We investigate the prospects of combining a standard momentum space approach for ultracold three-body scattering with efficient coordinate space schemes to solve the underlying two-body problem. In many of those schemes the two-body problem…

Quantum Gases · Physics 2021-03-17 T. Secker , J. -L. Li , P. M. A. Mestrom , S. J. J. M. F. Kokkelmans

We study the three-body system with short-range interactions characterized by an unnaturally large two-body scattering length. We show that the off-shell scattering amplitude is cutoff independent up to power corrections. This allows us to…

Nuclear Theory · Physics 2009-11-06 H. -W. Hammer , Thomas Mehen

A brief overview is given of some recent advances in charged-composite particle scattering. On the theoretical side, I address the three-charged particle wave function asymptotics, the nonperturbative investigation of the long-range…

Nuclear Theory · Physics 2007-05-23 Erwin O. Alt

By extending the concept of Euler-angle rotations to more than three dimensions, we develop the systematics under rotations in higher-dimensional space for a novel set of hyperspherical harmonics. Applying this formalism, we determine all…

Atomic and Molecular Clusters · Physics 2015-06-26 T. A. Heim , D. Green

The continuum discretized coupled channels (CDCC) method is compared to the exact solution of the three-body Faddeev equations in momentum space. We present results for: i) elastic and breakup observables of d-12C at E_d=56 MeV, ii) elastic…

Nuclear Theory · Physics 2008-11-26 A. Deltuva , A. M. Moro , E. Cravo , F. M. Nunes , A. C. Fonseca
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