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The study of scattering processes in few body systems is a difficult problem especially if long range interactions are involved. In order to solve such problems, we develop here a potential-splitting approach for three body systems. This…

Atomic Physics · Physics 2016-06-13 E. Yarevsky , S. L. Yakovlev , Å. Larson , N. Elander

The Faddeev equation for three-body scattering at arbitrary energies is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. For identical bosons this results in a…

Nuclear Theory · Physics 2008-11-26 H. Liu , Ch. Elster , W. Gloeckle

We study the scattering of a particle from a bound pair in an effective field theory using a distorted-wave renormalisation group method to find the power-counting for the three-body force terms. We find that three-body terms appear at…

Nuclear Theory · Physics 2007-05-23 T. Barford , M. C. Birse

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 derive three-body equations valid at finite densities and temperatures. These are based on the cluster mean field approach consistently including proper self energy corrections and the Pauli blocking. As an application we investigate the…

Nuclear Theory · Physics 2009-10-31 M. Beyer , W. Schadow , C. Kuhrts , G. Roepke

Deuteron-deuteron elastic scattering and transfer reactions in the energy regime above four-nucleon breakup threshold are described by solving exact four-particle equations for transition operators. Several realistic nuclear interaction…

Nuclear Theory · Physics 2015-02-09 A. Deltuva , A. C. Fonseca

We investigate the sensitivity of the non-exclusive nucleon induced deuteron breakup reaction to the three-nucleon interaction and distributions of three-nucleon force effects in inclusive spectra. To this end we solve the three-nucleon…

Nuclear Theory · Physics 2020-06-24 H. Witała , J. Golak , R. Skibiński , V. Soloviov , K. Topolnicki

In an experiment with a 65 MeV/nucleon polarized deuteron beam on a liquid-deuterium target at KVI, several multi-body final states in deuteron-deuteron scattering were identified. For these measurements, a unique and advanced detection…

Four-body equations in momentum space are solved for neutron-$\He$, proton-$\Hh$, and deuteron-deuteron scattering; all three reactions are coupled. The Coulomb interaction between the protons is included using the screening and…

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

We survey finite energy inverse results in N-body scattering, and we also sketch the proof of the extension of our recent two-cluster to two-cluster three-body result to the many-body case: this requires only minor modifications. We also…

Analysis of PDEs · Mathematics 2007-05-23 Gunther Uhlmann , Andras Vasy

An effective nucleon-nucleon interaction calculated in nuclear matter from the Bonn potential has been parametrized in terms of a local density- and energy-dependent two-body interaction. This allows to calculate the real part of the…

Nuclear Theory · Physics 2009-10-30 G. Bartnitzky , H. Clement , P. Czerski , H. Müther , F. Nuoffer , J. Siegler

Available data on large-angle nucleon-deuteron elastic scattering $Nd\to dN$ below the pion threshold give a signal for three-body forces. There is a problem of separation of possible subtle aspects of these forces from off-shell effects in…

Nuclear Theory · Physics 2009-11-07 Yu. N. Uzikov

We investigate the nucleon-nucleon interaction by using the meson exchange model and the two body Dirac equations of constraint dynamics. This approach to the two body problem has been successfully tested for QED and QCD relativistic bound…

Nuclear Theory · Physics 2009-11-07 Bin Liu , Horace Crater

Recent work in the literature has studied the restricted three-body problem within the framework of effective-field-theory models of gravity. This paper extends such a program by considering the full three-body problem, when the Newtonian…

General Relativity and Quantum Cosmology · Physics 2014-10-17 Emmanuele Battista , Giampiero Esposito

We outline inconsistencies in presently used models for high energy nuclear scattering, which make their application quite unreliable. Many "successes" are essentially based on an artificial freedom of parameters, which does not exist when…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Werner , H. J. Drescher , S. Ostapchenko , T. Pierog

An extensive study of three-nucleon force effects in the entire phase space of the nucleon-deuteron breakup process, for energies from above the deuteron breakup threshold up to 200 MeV, has been performed. 3N Faddeev equations have been…

Nuclear Theory · Physics 2009-11-07 J. Kuros-Zolnierczuk , H. Witala , J. Golak , H. Kamada , A. Nogga , R. Skibinski , W. Glockle

The paper contains a review of the exact or accurate results achieved in the field of the three-body antikaon-nucleon physics. Different states and processes in $\bar{K}NN$ and $\bar{K}\bar{K}N$ systems are considered. In particular,…

Nuclear Theory · Physics 2017-01-04 N. V. Shevchenko

We present a perturbative approach to solving the three-nucleon continuum Faddeev equation. This approach is particularly well suited to dealing with variable strengths of contact terms in a chiral three-nucleon force. We use examples of…

Nuclear Theory · Physics 2021-05-26 H. Witała , J. Golak , R. Skibiński , K. Topolnicki

We calculate the contribution of relativistic dynamics on the neutron-deuteron scattering length and triton binding energy employing five sets trinucleon potential models and four types of three-dimensional relativistic three-body equations…

Nuclear Theory · Physics 2011-05-12 Sadhan K. Adhikari , Lauro Tomio

We discuss new spin observables presently accessible to measurement in the proton-deuteron (pd) system, namely polarization transfer coefficients from doubly spin-polarized initial state to the outgoing nucleon in the elastic…

Nuclear Theory · Physics 2025-05-21 H. Witała , J. Golak , R. Skibiński , H. Sakai , K. Sekiguchi
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