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Progress in the Effective Field Theory of two and three nucleon systems is sketched, concentrating on the low energy version in which pions are integrated out as explicit degrees of freedom. Examples given are calculations of deuteron…

Nuclear Theory · Physics 2009-11-06 Harald W. Griesshammer

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

A novel approach to solve the Faddeev equation for three-body scattering at arbitrary energies is proposed. This approach disentangles the complicated singularity structure of the free three-nucleon propagator leading to the moving and…

Nuclear Theory · Physics 2009-03-24 Ch. Elster , W. Gloeckle , H. Witala

A version of the $J$-matrix method for solving numerically the three-body Faddeev-Merkuriev differential equations is proposed. This version allows to take into account the full spectrum of the two-body Coulomb subsystem. As a result, a…

Atomic Physics · Physics 2015-06-26 S. A. Zaytsev , V. A. Knyr , Yu. V. Popov , A. Lahmam-Bennani

The contribution of a $\pi \pi$-exchange three-body force to the three-nucleon binding energy is calculated in terms of a $\pi N$ amplitude. The latter is based on a meson-theoretical model of $\pi N$ interaction developed by the J\"ulich…

Nuclear Theory · Physics 2015-06-26 T. -Y. Saito , J. Haidenbauer

We compute the electromagnetic form factors of the nucleon in the Poincare-covariant Faddeev framework based on the Dyson-Schwinger equations of QCD. The general expression for a baryon's electromagnetic current in terms of three…

High Energy Physics - Phenomenology · Physics 2011-08-08 Gernot Eichmann

The process 3He(e,e'n) with polarized electrons and 3He in the initial state is theoretically analyzed with the aim to search for sensitivity to the electric form factor of the neutron, GEn. Faddeev calculations based on five high precision…

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

We report the first study of the nucleon where the full Poincare-covariant structure of the three-quark amplitude is implemented in the Faddeev equation. We employ an interaction kernel which is consistent with contemporary studies of meson…

High Energy Physics - Phenomenology · Physics 2014-07-24 G. Eichmann , R. Alkofer , A. Krassnigg , D. Nicmorus

As the study of three-hadron physics from lattice QCD matures, it is necessary to develop proper analysis tools in order to reliably study a variety of phenomena, including resonance spectroscopy and nuclear structure. Reconstructing the…

High Energy Physics - Phenomenology · Physics 2023-12-04 Andrew W. Jackura , Raúl A. Briceño

We employ ptychography, a phase-retrieval imaging technique, to show experimentally for the first time that a partially coherent high-energy matter (electron) wave emanating from an extended source can be decomposed into a set of mutually…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 S. Cao , P. Kok , P. Li , A. M. Maiden , J. M. Rodenburg

A three-dimensional approach based on momentum vectors as variables for solving the three nucleon Faddeev equation in first order is presented. The nucleon-deuteron break-up amplitude is evaluated in leading order in the NN T-matrix, which…

Nuclear Theory · Physics 2009-11-10 I. Fachuddin , Ch. Elster , W. Gloeckle

A Poincare' covariant Faddeev equation, which describes baryons as composites of confined-quarks and -nonpointlike-diquarks, is solved to obtain masses and Faddeev amplitudes for the nucleon and Delta. The amplitudes are a component of a…

Nuclear Theory · Physics 2010-03-04 R. Alkofer , A. Hoell , M. Kloker , A. Krassnigg , C. D. Roberts

First-principles simulations of many-fermion systems are commonly limited by the computational requirements of processing large data objects. As a remedy, we propose the use of low-rank approximations of three-body interactions, which are…

Nuclear Theory · Physics 2025-01-09 A. Tichai , P. Arthuis , K. Hebeler , M. Heinz , J. Hoppe , T. Miyagi , A. Schwenk , L. Zurek

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 treating the relativistic three-quark problem, a dressed-quark propagator parameterization is used which is compatible with recent lattice data and pion observables. Furthermore two-quark correlations are modeled as a series of quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Oettel , R. Alkofer

The influence of the partial-wave states with nonzero orbital moment of the nucleon pair on the binding energy of the triton in the relativistic case is considered. The relativistic generalization of the Faddeev equation in the…

Nuclear Theory · Physics 2019-05-22 S. G. Bondarenko , V. V. Burov , S. A. Yurev

A method has been developed to solve three-particle Faddeev equations in the configuration space making use of a series expansion in hyperspherical harmonics. The following parameters of the bound state of triton and helium-3 nuclei have…

Nuclear Theory · Physics 2016-03-22 V. I. Kovalchuk

The paper derives the representation of the two-particle T-matrix scattering elements for the Coulomb interaction with respect to special bases without expansion in terms of partial waves. The results obtained are applicable to…

Mathematical Physics · Physics 2019-04-30 Robert Akhmetyanov , Elena Shikhovtseva

We report progress on the development of Perturbative Integral Representation Ans\"atze to compute the nucleon Faddeev Wave function, using an explicit quark-diquark picture. Our formalism is able to handle non-pointlike diquark and to…

Nuclear Theory · Physics 2018-11-26 Cédric Mezrag , Jorge Segovia , Minghui Ding , Lei Chang , Craig D. Roberts

Historic steps in the emergence, the derivation and the use of three-nucleon forces, genuine and effective, for calculations of few-nucleon systems and of the structure of heavier nuclei are recalled. The research focus is on few-nucleon…

Nuclear Theory · Physics 2013-09-16 Peter U. Sauer
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