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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

Binding energies calculated from using the Bethe-Salpeter equation in the simplest ladder approximation significantly differ from those obtained in the non-relativistic standard instantaneous approximation. While they should a priori be…

Nuclear Theory · Physics 2007-05-23 G. Le Gorrec , B. Desplanques

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

It is shown that field-theory based single boson exchange potentials cannot be identified to those of the Yukawa or Coulomb type that are currently inserted in the Schr\"odinger equation. The potential which is obtained rather corresponds…

Nuclear Theory · Physics 2009-10-31 A. Amghar , B. Desplanques

A covariant meson-exchange model of the anti-kaon nucleon interaction within the framework of the Bethe-Salpeter equation is presented. With just one free parameter we are able to get a good description of the available experimental data…

Nuclear Theory · Physics 2007-05-23 A. D. Lahiff

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

All realistic potential models for the two-nucleon interaction are to some extent based on boson exchange. However, in order to achieve an essentially perfect fit to the scattering data, characterized by a chi2/Ndata ~ 1, previous…

Nuclear Theory · Physics 2008-11-26 Franz Gross , Alfred Stadler

It is known that binding energies calculated from the Bethe-Salpeter equation in ladder approximation can be reasonably well accounted for by an energy-dependent interaction, at least for the lowest states. It is also known that none of…

Nuclear Theory · Physics 2009-11-06 A. Amghar , B. Desplanques , L. Theussl

A relativistic covariant one boson exchange model, previously applied to describe elastic nucleon-nucleon scattering, is extended to study $\eta$ production in NN collisions. The transition amplitude for the elementary BN->$\eta$N process…

High Energy Physics - Phenomenology · Physics 2009-10-30 E. Gedalin , A. Moalem , L. Razdolskaja

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

The contribution to the binding energy of a two-body system due to the crossed two-boson exchange contribution is calculated, using the Bethe-Salpeter equation. This is done for distinguishable, scalar particles interacting via the exchange…

Nuclear Theory · Physics 2009-10-31 L. Theussl , B. Desplanques

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

Using the Covariant Spectator Theory (CST), we have found One-Boson-Exchange (OBE) potentials that fit the 2006 world np data below 350 MeV with a \chi^2/N_data very close to 1, for a total of 3788 data. Our potentials have significantly…

Nuclear Theory · Physics 2009-01-16 Franz Gross , Alfred Stadler

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

We calculate at two-loop order the complex-valued scattering amplitude related to the twice-iterated scalar-isovector boson-exchange between nucleons. In comparison to the once-iterated boson-exchange amplitude it shows less dependence on…

Nuclear Theory · Physics 2009-11-11 N. Kaiser

Within a covariant Bethe-Salpeter approach, the relativistic complex separable neutron-proton interaction kernel is proposed. The uncoupled partial-wave states with the total angular momentum $J$=0,1 are considered. The multirank separable…

Nuclear Theory · Physics 2011-06-23 S. G. Bondarenko , V. V. Burov , E. P. Rogochaya

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

We calculate the cross sections for the $p(p,n\pi^{+})p$ and $p(p,p\pi^{0})p$ reactions for proton beam energies near threshold in a covariant one-boson-exchange model, which incorporates the exchange of $\pi$, $\rho$, $\sigma$ and $\omega$…

Nuclear Theory · Physics 2009-10-30 R. Shyam , U. Mosel

The effective separable meson-baryon potentials are constructed to match the equivalent chiral amplitudes up to the second order in external meson momenta. We fit the model parameters (low energy constants) to the threshold and low energy…

Nuclear Theory · Physics 2010-10-07 A. Cieply , J. Smejkal

The elastic backward proton-deuteron scattering is analyzed within a covariant approach based on the Bethe-Salpeter equation with realistic meson-exchange interaction. Contributions of the one-nucleon and one-pion exchange mechanisms to the…

Nuclear Theory · Physics 2009-09-25 L. P. Kaptari , B. Kaempfer , S. M. Dorkin , S. S. Semikh
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