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The relativistic five-quark equations are found in the framework of the dispersion relation technique. The solutions of these equations using the method based on the extraction of leading singularities of the amplitudes are obtained. The…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. M. Gerasyuta , V. I. Kochkin

We present the relativistic calculation of the beta-decay of tritium in a hadron model. The elementary particle treatment of the transition 3H -> 3He + e^- + nu_e is performed in analogy with the description of the beta-decay of neutron.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Fedor Simkovic , Rastislav Dvornicky , Amand Faessler

We show how to attach an external photon to a system of three strongly interacting nucleons described by three-body scattering equations. Our method involves the idea of gauging the scattering equations themselves, and results in…

Nuclear Theory · Physics 2007-05-23 A. N. Kvinikhidze , B. Blankleider

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 practical high-accuracy relativistic method of atomic structure calculations for univalent atoms is presented. The method is rooted in the coupled-cluster formalism and includes non-perturbative treatment of single and double excitations…

Atomic Physics · Physics 2009-11-11 Sergey G. Porsev , Andrei Derevianko

We present a method to integrate predictions from a theoretical model of a reaction with three bodies in the final state over the region of phase space covered by a given experiment. The method takes into account the true experimental…

The hypernuclear systems $NN\Xi $ and $\Xi\Xi N$ are considered as an analogue of $nnp$ ($^3$H) nuclear system (with the notation as $AAB$ system). We use the recently proposed modification for the $s$-wave Malfliet-Tjon potential. The…

Nuclear Theory · Physics 2017-05-10 Igor Filikhin , Vladimir M. Suslov , Branislav Vlahovic

We calculate the equation of state of nuclear matter in the self-consistent T-matrix scheme including three-body nuclear interactions. We study the effect of the three-body force on the self-energies and spectral functions of nucleons in…

Nuclear Theory · Physics 2008-11-26 Vittorio Soma , Piotr Bozek

Extended calculations of the deuteron's static properties, based on the numerical solution of the Bethe-Salpeter equation, are presented. A formalism is developed, which provides a comparative analysis of the covariant amplitudes in various…

Nuclear Theory · Physics 2008-11-26 L. P. Kaptari , A. Yu. Umnikov , S. G. Bondarenko , K. Yu. Kazakov , F. C. Khanna , B. Kaempfer

Realistic solutions of the spinor-spinor Bethe-Salpeter equation for the deuteron with realistic interaction kernel including the exchange of pi, sigma, omega, rho, eta and delta mesons, are used to systematically investigate relativistic…

Nuclear Theory · Physics 2011-07-19 C. Ciofi degli Atti , D. Faralli , A. Yu. Umnikov , L. P. Kaptari

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

We present a practical method to solve Faddeev three-body equations at energies above three-body breakup threshold as integral equations in coordinate space. This is an extension of previously used method for bound states and scattering…

Nuclear Theory · Physics 2008-11-26 S. Ishikawa

We explore three-nucleon forces (3NF) from lattice QCD simulations. Utilizing the Nambu-Bethe-Salpeter (NBS) wave function, two-nucleon forces (2NF) and 3NF are determined on the same footing. Quantum numbers of the three-nucleon (3N)…

High Energy Physics - Lattice · Physics 2011-12-20 Takumi Doi , for HAL QCD Collaboration

The Relativistic Distorted-Wave Impulse Approximation is used to describe the $^3$He($e,e^\prime p$)$^2$H process. We describe the $^3$He nucleus within the adiabatic hyperspherical expansion method with realistic nucleon-nucleon…

The Bethe-Salpeter equation (BSE) is currently the state of the art in the description of neutral electron excitations in both solids and large finite systems. It is capable of accurately treating charge-transfer excitations that present…

We solve the Faddeev equation in an exactly Poincare invariant formulation of the three-nucleon problem. The dynamical input is a relativistic nucleon-nucleon interaction that is exactly on-shell equivalent to the high precision CDBonn NN…

Nuclear Theory · Physics 2008-11-26 H. Witala , J. Golak , R. Skibinski , W. Glockle , W. N. Polyzou , H. Kamada

Properties of finite nuclei are investigated based on relativistic Hartree equations which have been derived from a relativistic quark model of the structure of bound nucleons. Nucleons are assumed to interact through the (self-consistent)…

Nuclear Theory · Physics 2007-05-23 Kazuo Tsushima , Koichi Saito , Anthony W. Thomas

Three-body resonances in atomic systems are calculated as complex-energy solutions of Faddeev-type integral equations. The homogeneous Faddeev-Merkuriev integral equations are solved by approximating the potential terms in a…

Atomic Physics · Physics 2009-11-13 S Keller , A Marotta , Z Papp

A C++ code for the solution of the relativistic Hartree-Bogoliubov theory in coordinate space is presented. The theory describes a nucleus as a relativistic system of baryons and mesons. The RHB model is applied in the self-consistent…

Nuclear Theory · Physics 2009-10-30 Wolfgang Poeschl , Dario Vretenar , Peter Ring

A recently developed three-dimensional Faddeev integral equations for three-nucleon bound state with two-nucleon interactions have been solved in momentum space for Bonn-B potential.

Nuclear Theory · Physics 2009-01-16 S. Bayegan , M. R. Hadizadeh , M. Harzchi