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The approach of direct integration of the three-dimensional Faddeev equations with respect to the breakup T-matrix in momentum space for three bodies of different masses is presented. The Faddeev equations are written out explicitly without…

Quantum Physics · Physics 2025-02-03 Mikhail Egorov

An overview is presented about old and recent methods to compute the $K\to \pi \pi$ decay amplitude.

High Energy Physics - Lattice · Physics 2007-05-23 Massimo Testa

We give a brief account of the Dyson-Schwinger and Faddeev-equation approach and its application to nucleon resonances and their transition form factors. We compare the three-body with the quark-diquark approach and present a quark-diquark…

High Energy Physics - Phenomenology · Physics 2016-07-20 Gernot Eichmann

Selected Nd breakup data over a wide energy range are compared to solutions of Faddeev equations based on modern high precision NN interactions alone and adding current three-nucleon force models. Unfortunately currently available data…

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

A new, very fast, implementation of the exact (Fock) exchange operator for electronic structure calculations within the plane-wave pseudopotential method is described in detail for both molecular and periodic systems, and carefully…

Materials Science · Physics 2018-12-12 Ivan Carnimeo , Stefano Baroni , Paolo Giannozzi

We compute nuclear matrix elements for neutrinoless double electron capture on $^{152}$Gd, $^{164}$Er and $^{180}$W nuclei. Recent precise mass measurements for these nuclei have shown a large resonance enhancement factor that makes them…

Nuclear Theory · Physics 2015-06-04 Tomas R. Rodriguez , Gabriel Martinez-Pinedo

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

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

The QCDSF/UKQCD collaboration has an ongoing program to calculate nucleon matrix elements with two flavours of dynamical O(a) improved Wilson fermions. Here we present recent results on the electromagnetic form factors, the quark momentum…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , Ph. Hägler , R. Horsley , Y. Nakamura , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , W. Schroers , H. Stüben , J. M. Zanotti

We solve three-nucleon Faddeev equations with nucleon-nucleon and three-nucleon forces derived consistently in the framework of chiral perturbation theory at next-to-next-to-next-to-leading order in the chiral expansion. In this first…

We report on microscopic calculations for the 4He compound system in the framework of the resonating group model employing realistic nucleon-nucleon and three nucleon forces. The resulting scattering phase shifts are compared to those of a…

Nuclear Theory · Physics 2008-11-26 Hartmut M. Hofmann , Gerald M. Hale

The Faddeev equations for the three-body bound state with two- and three-body forces are solved directly as three-dimensional integral equation. The numerical feasibility and stability of the algorithm, which does not employ partial wave…

Nuclear Theory · Physics 2009-11-07 H. Liu , Ch. Elster , W. Gloeckle

Some short history of few-body methods originated from the famous Skornyakov-Ter-Martirosyan equation is given, including latest development of Faddeev formalism and Efimov states. The 3q system is shown to require an alternative, which is…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov

Algorithm, based on explicit representations for analytic continuation of the T-matrix Faddeev components on unphysical sheets, is worked out for calculations of resonances in the three-body quantum problem. According to the…

Nuclear Theory · Physics 2009-09-25 E. A. Kolganova , A. K. Motovilov

Established results for the quark propagator in Landau gauge QCD, together with a detailed comparison to lattice data, are used to formulate a Poincare covariant Faddeev approach to the nucleon. The resultant three-quark amplitudes describe…

High Energy Physics - Phenomenology · Physics 2009-12-15 G. Eichmann , A. Krassnigg , M. Schwinzerl , R. Alkofer

We compute the axial and pseudoscalar form factors of the nucleon in the Dyson-Schwinger approach. To this end, we solve a covariant three-body Faddeev equation for the nucleon wave function and determine the matrix elements of the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Gernot Eichmann , Christian S. Fischer

Faddeev calculations of hypertriton ($_\Lambda^3$H) separation energy are performed, incorporating all next-to-next-to-leading-order $\Lambda$NN three-body forces (3BFs) in chiral effective field theory: $2\pi$-exchange, $1\pi$-exchange,…

Nuclear Theory · Physics 2023-11-21 M. Kohno , H. Kamada , K. Miyagawa

A distorted-wave method is used to analyse nucleon-nucleon scattering in the 1S0 channel. Effects of one-pion exchange are removed from the empirical phase shift to all orders by using a modified effective-range expansion. Two-pion exchange…

Nuclear Theory · Physics 2010-11-08 Michael C. Birse

The Faddeev equations for the three-body bound state are solved directly as thre e-dimensional integral equations without employing partial wave decomposition. Two-body forces of the Malfliet-Tjon type and simple spin independent genuine…

Nuclear Theory · Physics 2009-11-07 H. Liu , Ch. Elster , W. Gloeckle

A spin-isospin dependent three-dimensional approach has been applied for formulation of the three-nucleon bound state and a new expression for Faddeev equation based on three-nucleon free basis state has been obtained. Then the…

Nuclear Theory · Physics 2011-06-28 M. Harzchi , S. Bayegan