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The dynamics of $N\geq 3$ interacting particles is investigated in the non-relativistic context of the Barbour-Bertotti theories. The reduction process on this constrained system yields a Lagrangian in the form of a Riemannian line element.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 László Á Gergely

Bethe-Salpeter equation is applied to nucleon-nucleon elastic scattering at the intermediate energy. The differential cross section and the polarization are calculated in terms of the phase shift analysis method using the two-body potential…

Nuclear Theory · Physics 2015-03-26 Susumu Kinpara

The structure of finite nuclei is investigated by employing an interaction model which is based on the low-momentum interaction $V_{lowk}$. It is supplemented by a density-dependent contact interaction fitted to reproduce the saturation…

Nuclear Theory · Physics 2015-06-19 E. N. E. van Dalen , H. Müther

The spectral function of the closed-shell Neon atom is computed by expanding the electron self-energy through a set of Faddeev equations. This method describes the coupling of single-particle degrees of freedom with correlated two-electron,…

Chemical Physics · Physics 2009-11-13 C. Barbieri , D. Van Neck , W. H. Dickhoff

A three-body semiclassical model is proposed to describe the nucleon transfer and emission reactions in a heavy-ion collision. In this model the two heavy particles, i.e. nuclear cores A$_1(Z_{A_1}, M_{A_1})$ and A$_2(Z_{A_2}, M_{A_2})$,…

Nuclear Theory · Physics 2015-06-16 Renat A. Sultanov , D. Guster

We generalize the relativistic field-theoretic (RFT) three-particle finite-volume formalism to systems of three identical, massive, spin-$1/2$ fermions, such as three neutrons. This allows, in principle, for the determination of the…

High Energy Physics - Lattice · Physics 2023-08-16 Zachary T. Draper , Maxwell T. Hansen , Fernando Romero-López , Stephen R. Sharpe

We propose a novel method for calculating resonances in three-body Coulombic systems. The method is based on the solution of the set of Faddeev and Lippmann-Schwinger integral equations, which are designed for solving the three-body Coulomb…

Nuclear Theory · Physics 2009-10-31 Z. Papp , I. N. Filikhin , S. L. Yakovlev

A new scheme to study the properties of finite nuclei is proposed based on the Dirac-Brueckner-Hartree-Fock (DBHF) approach starting from a bare nucleon-nucleon interaction. The relativistic structure of the nucleon self-energies in nuclear…

We derive four-dimensional relativistic three-body equations for the case of a field theory with a three-point interaction vertex. These equations describe the coupled 2->2, 2->3, and 3->3 processes, and provide the means of calculating the…

Nuclear Theory · Physics 2009-10-28 A. N. Kvinikhidze , B. Blankleider

{\bf Background} Deuteron induced reactions are widely used to probe nuclear structure and astrophysical information. Those (d,p) reactions may be viewed as three-body reactions and described with Faddeev techniques. {\bf Purpose}…

Nuclear Theory · Physics 2019-09-18 L. Hlophe , Jin Lei , Ch. Elster , A. Nogga , F. M. Nunes , D. Jurčiukonis , A. Deltuva

We test microscopic global optical potential in three-body calculations of deuteron-nucleus scattering. We solve Faddeev-type equations for three-body transition operators. We calculate differential cross section and analyzing power for the…

Nuclear Theory · Physics 2025-02-25 A. Deltuva , D. Jurčiukonis , D. Likandrovas , J. Torres Fernandez

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

We extend our formulation of relativistic three-nucleon Faddeev equations to include both pairwise interactions and a three-nucleon force. Exact Poincare invariance is realized by adding interactions to the mass Casimir operator (rest…

Nuclear Theory · Physics 2015-03-17 H. Witala , J. Golak , R. Skibinski , W. Glockle , H. Kamada , W. N. Polyzou

The solution for the nucleon-nucleon T matrix in the framework of the covariant Bethe-Salpeter approach for a two spin-one-half particle system with a separable kernel of interaction is analyzed. The explicit analytical connection between…

Nuclear Theory · Physics 2009-11-07 S. G. Bondarenko , V. V. Burov , N. Hamamoto , A. Hosaka , Y. Manabe , H. Toki

Interactions in atomic and molecular systems are dominated by electromagnetic forces and the theoretical framework must be in the quantum regime. The physical theory for the combination of quantum mechanics and electromagnetism, quantum…

Chemical Physics · Physics 2023-01-26 Edit Mátyus , Dávid Ferenc , Péter Jeszenszki , Ádám Margócsy

The Faddeev-Yakubovsky equations for the alpha-particle are solved. Accurate results are obtained for several modern NN interaction models, which include charge-symmetry breaking effects in the NN force, nucleon mass dependences as well as…

Nuclear Theory · Physics 2008-11-26 A. Nogga , H. Kamada , W. Gloeckle , B. R. Barrett

Based on a three-potential formalism we propose mathematically well-behaved Faddeev-type integral equations for the atomic three-body problem and descibe their solutions in Coulomb-Sturmian space representation. Although the system contains…

Atomic Physics · Physics 2009-10-30 Z. Papp

We consider the three-nucleon system within an effective theory with contact interactions at leading order in the large scattering length. We calculate the charge form factor of the triton at low momentum transfer and extract the triton…

Nuclear Theory · Physics 2009-11-11 L. Platter , H. -W. Hammer

The relativistic five-quark equations are found in the framework of the dispersion relation technique. The behavior of the low-energy five-particle amplitude is determined by its leading singularities in the pair invariant masses. The…

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

The ^3He^4He_2 three-atomic system is studied on the basis of a hard-core version of the Faddeev differential equations. The binding energy of the ^3He^4He_2 trimer, scattering phase shifts, and the scattering length of a ^3He atom off a…

Atomic and Molecular Clusters · Physics 2009-11-10 W. Sandhas , E. A. Kolganova , A. K. Motovilov , Y. K. Ho