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Related papers: 3N Scattering in a Three-Dimensional Operator Form…

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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

The process $\overrightarrow{^3{\rm He}}(e,e'\vec{p})d $ (or $\overrightarrow{^3{\rm He}}(e,e'\vec{d})p $) is studied theoretically in a Faddeev treatment with the aim to have access to the spin-dependent momentum distribution of ${\vec p}…

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

We extend our approach to incorporate the proton-proton (pp) Coulomb force into the three-nucleon (3N) momentum-space Faddeev calculations of elastic proton-deuteron (pd) scattering and breakup to the case when also a three-nucleon force…

Nuclear Theory · Physics 2015-05-20 H. Witala , R. Skibinski , J. Golak , W. Gloeckle

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

A recently developed three-dimensional approach (without partial-wave decomposition) is considered to investigate solutions of Faddeev-Yakubovsky integral equations in momentum space for three- and four-body bound states, with the inclusion…

Nuclear Theory · Physics 2011-07-08 M. R. Hadizadeh , Lauro Tomio , S. Bayegan

The nucleon-nucleon t-matrix is calculated directly as function of two vector momenta for different realistic NN potentials. The angular and momentum dependence of the full amplitude is studied and NN observables are calculated.

Nuclear Theory · Physics 2009-11-07 I. Fachruddin , Ch. Elster , W. Glöckle

Recently developed chiral nucleon-nucleon (NN) forces at next-to-leading order (NLO) that describe NN phase shifts up to about 100 MeV fairly well have been applied to 3N and 4N systems. Faddeev-Yakubovsky equations have been solved…

Nuclear Theory · Physics 2009-11-06 E. Epelbaum , H. Kamada , A. Nogga , H. Witala , W. Glöckle , Ulf-G. Meißner

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

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

In this work we present a framework that allows to solve the Faddeev equations for three-nucleon scattering using the wave-packet continuum-discretization method. We perform systematic benchmarks using results in the literature and study in…

Nuclear Theory · Physics 2022-08-31 Sean B. S. Miller , Andreas Ekström , Kai Hebeler

Two different aspects of the description of three- and four-nucleon systems are addressed. The use of bound state like wave functions to describe scattering states in $N-d$ collisions at low energies and the effects of some of the widely…

Nuclear Theory · Physics 2015-05-27 A. Kievsky

We discuss the current status of chiral effective field theory in the three-nucleon sector and present selected results for nucleon-deuteron scattering observables based on semilocal momentum-space-regularized chiral two-nucleon potentials…

The 3S1-3D1 mixing angle for nucleon-nucleon scattering, epsilon_1, is calculated to next-to-next-to-leading order in an effective field theory with perturbative pions. Without pions, the low energy theory fits the observed epsilon_1 well…

Nuclear Theory · Physics 2009-10-31 Sean Fleming , Thomas Mehen , Iain W. Stewart

A modified version of the Faddeev three-body equation to accommodate the Coulomb interaction, which was used in the study of three-nucleon bound states, is applied to the proton-deuteron scattering problem at energies below the three-body…

Nuclear Theory · Physics 2009-11-07 S. Ishikawa

As an application of the new realistic three-dimensional (3D) formalism reported recently for three-nucleon (3N) bound states, an attempt is made to study the effect of three-nucleon forces (3NFs) in triton binding energy in a non partial…

Nuclear Theory · Physics 2010-08-30 M. R. Hadizadeh , L. Tomio , S. Bayegan

Relativistic Faddeev equations for three-body scattering at arbitrary energies are formulated in momentum space and in first order in the two-body transition-operator directly solved in terms of momentum vectors without employing a partial…

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

Long-range contributions to the three-nucleon force that have been recently worked out in chiral effective field theory at next-to-next-to-next-to-leading order are for the first time included in the triton and the doublet nucleon-deuteron…

Nuclear Theory · Physics 2013-05-29 R. Skibinski , J. Golak , K. Topolnicki , H. Witala , E. Epelbaum , W. Gloeckle , H. Krebs , A. Nogga , H. Kamada

We discuss the general three-particle quantum scattering problem, for motion restricted to the full line. Specifically, we formulate the three-body problem in one dimension in terms of the (Faddeev-type) integral equation approach. As a…

Nuclear Theory · Physics 2007-05-23 T. Melde , L. Canton , J. P. Svenne

The effect of the inclusion of different models of three nucleon (3N) forces in p-3He elastic scattering at low energies is studied. Two models have been considered: one derived from effective field theory at next-to-next-to-leading order…

Nuclear Theory · Physics 2015-06-11 M. Viviani , L. Girlanda , A. Kievsky , L. E. Marcucci

Relativistic Faddeev equations for three-body scattering at arbitrary energies are solved in first order in the two-body transition operator in terms of momentum vectors without employing a partial wave decomposition. Relativistic…

Nuclear Theory · Physics 2007-10-02 Ch. Elster , T. Lin , W. N. Polyzou , W. Gloeckle