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Within a covariant Bethe-Salpeter approach the relativistic complex separable kernel of the neutron-proton interaction for the coupled $^3S_1^+$-$^3D_1^+$ partial-wave state is constructed. The rank-six separable potential elaborated…

Nuclear Theory · Physics 2011-11-03 S. G. Bondarenko , V. V. Burov , E. P. Rogochaya

The multirank separable kernels of the neutron-proton interaction for uncoupled $S$ and $P$ partial waves (with the total angular momentum $J$=0,1) are proposed. Two different methods of a relativistic generalization of initially…

Nuclear Theory · Physics 2010-01-15 S. G. Bondarenko , V. V. Burov , W. -Y. Pauchy Hwang , E. P. Rogochaya

Within a covariant Bethe-Salpeter approach a rank-six separable neutron-proton interaction kernel for the triplet coupled $^3S_1$-$^3D_1$ partial-wave state is constructed. Two different methods of a relativistic generalization of initially…

Nuclear Theory · Physics 2010-08-17 S. G. Bondarenko , V. V. Burov , W. -Y. Pauchy Hwang , E. P. Rogochaya

A new version of the separable kernel of the nucleon-nucleon interaction in the Bethe-Salpeter approach is presented. The phase shifts are fitted to recent experimental data for singlet and uncoupled triplet partial waves of the…

Nuclear Theory · Physics 2008-11-26 S. G. Bondarenko , V. V. Burov , W-Y. Pauchy Hwang , E. P. Rogochaya

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

In the paper the covariant kernel of the nucleon-nucleon interaction of particles with scalar propagators is analyzed. The Bethe-Salpeter equation for the T matrix is considered in the rank- one separable kernel. The parameters of the…

Nuclear Theory · Physics 2018-08-01 S. G. Bondarenko , V. V. Burov , S. A. Yurev

The dispersion relations for nucleon-nucleon (NN) T-matrix in the framework of Bethe-Salpeter equation for two spin one-half particle system and with separable kernel of interaction are considered in the paper. The developed expressions are…

Nuclear Theory · Physics 2009-11-07 Serge G. Bondarenko , Valery V. Burov , Naohide Hamamoto , Hiroshi Toki

Two different methods of the covariant relativistic separable kernel construction in the Bethe-Salpeter approach are considered. One of them leads in the center-of-mass system of two particles to the quasipotential equation. The constructed…

Nuclear Theory · Physics 2009-01-07 S. G. Bondarenko , V. V. Burov , E. P. Rogochaya , Y. Yanev

The exclusive electrodisintegration of the deuteron is considered within the Bethe-Salpeter approach with a separable interaction kernel. The relativistic kernel of nucleon-nucleon interaction is obtained considering the phase shifts in the…

Nuclear Theory · Physics 2012-12-17 S. G. Bondarenko , V. V. Burov , E. P. Rogochaya

The paper considers the electrodisintegration of the deuteron for kinematic conditions of the JLab experiment E-94-019. The calculations have been performed within the covariant Bethe-Salpeter approach with a separable kernel of…

Nuclear Theory · Physics 2011-03-07 S. G. Bondarenko , V. V. Burov , E. P. Rogochaya

The electrodisintegration of the deuteron is considered within a relativistic model of nucleon-nucleon interaction based on the Bethe-Salpeter approach with a separable interaction kernel. The exclusive cross section is calculated within…

Nuclear Theory · Physics 2012-01-24 S. G. Bondarenko , V. V. Burov , E. P. Rogochaya

Recently, a relativistic chiral nucleon-nucleon interaction is formulated up to leading order which provides a good description of the phase shifts of $J\leq1$ partial waves [Chin. Phys. C 42 (2018) 014103]. Nevertheless, a separable…

Nuclear Theory · Physics 2021-06-09 Xiu-Lei Ren , Chun-Xuan Wang , Kai-Wen Li , Li-Sheng Geng , Jie Meng

A lepton-neutron potential in configuration space is obtained. It is based on the Coulomb plus hyperfine interaction Hamiltonian integrated over the neutron charge and magnetic densities. Different parametrisations of the neutron…

High Energy Physics - Phenomenology · Physics 2024-05-07 Jaume Carbonell , Tobias Frederico

Elastic electron-helium-3 scattering is studied in the relativistic impulse approximation. The amplitudes for the three-nucleon system are obtained by solving the relativistic generalization of the Faddeev equations with a separable…

Nuclear Theory · Physics 2020-10-30 Serge Bondarenko , Valery Burov , Sergey Yurev

In the paper, the static and dynamic properties of the pion in the Bethe-Salpeter approach are considered. The rank-one separable kernel of the quark-antiquark interaction is used to solve the equation analytically. Multidimensional…

High Energy Physics - Phenomenology · Physics 2025-05-15 S. Bondarenko , M. Slautin

On the basis of the three-particle Bethe-Salpeter equation we formulated a relativistic quark model for baryons. Assuming the propagators to be given by their free form with constituent quark masses and the interaction kernel by an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bernard Metsch , Ulrich Loering

A model for low-energy meson-baryon interaction in the strange sector is presented. The interaction is described in terms of separable potentials with multiple partial waves considered. A general solution of Lippmann-Schwinger equation for…

Nuclear Theory · Physics 2012-08-24 Vojtěch Krejčiřík

A solution to the relativistic generalization of the four-particle integral Faddeev-Yakubovsky equation is carried out. Only states with zero orbital angular momentum, $S$ states, are considered in the calculations. A rank-one separable…

Nuclear Theory · Physics 2025-04-29 S. Yurev , S. Bondarenko

Within a quasipotential framework a relativistic analysis is presented of the deuteron current. Assuming that the singularities from the nucleon propagators are important, a so-called equal time approximation of the current is constructed.…

Nuclear Theory · Physics 2008-11-26 E. Hummel , J. A. Tjon

The electrodisintegration of the deuteron in the frame of the Bethe-Salpeter approach with a separable kernel of the nucleon-nucleon interaction is considered. This conception keeps the covariance of a description of the process. A…

Nuclear Theory · Physics 2008-11-26 S. G. Bondarenko , V. V. Burov , E. P. Rogochaya , A. A. Goy
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