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Related papers: Pion in the Bethe-Salpeter approach with separable…

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In the paper, the electromagnetic off-shell pion form factors in the Bethe-Salpeter formalism with a separable kernel are considered. Different types of vertex functions of a pion are investigated. The separable kernel of the…

Nuclear Theory · Physics 2026-05-28 S. G. Bondarenko , M. K. Slautin

In the paper, the off-shell electromagnetic pion form factors in the Bethe-Salpeter formalism are considered. The separable kernel of the first rank quark-antiquark interaction is used to solve the equation analytically. The semi-off-shell…

High Energy Physics - Phenomenology · Physics 2025-07-03 S. Bondarenko , M. Slautin

The pion scalar, vector and tensor form factors are calculated within a symmetry-preserving contact interaction model (CI) of quantum chromodynamics (QCD), encompassed within a Dyson-Schwinger and Bethe-Salpeter equations approach. In…

High Energy Physics - Phenomenology · Physics 2022-10-05 Xiaobin Wang , Zanbin Xing , Jiayin Kang , Khépani Raya , Lei Chang

We present preliminary results of a new approach to the study of the pion-pion system in the I=1 channel. The Bethe-Salpeter wave function of the two-pion system is computed on the ground state and the first excited state. From these, we…

High Energy Physics - Lattice · Physics 2013-01-01 Bruno Charron , for HAL QCD Collaboration

The interaction kernel in the Bethe-Salpeter equation for quark-antiquark bound states is derived newly from QCD in the case where the quark and the antiquark are of different flavors. The technique of the derivation is the usage of the…

High Energy Physics - Theory · Physics 2014-11-18 Jun-Chen Su

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

Elastic and semileptonic transition form factors for the kaon and pion are calculated using the leading-order in a global-symmetry-preserving truncation of the Dyson-Schwinger equations and a momentum-independent form for the associated…

Nuclear Theory · Physics 2014-08-06 Chen Chen , Lei Chang , Craig D. Roberts , Sebastian M. Schmidt , Shaolong Wan , David J. Wilson

The pion electromagnetic form factor has been calculated for the first time from the solutions of the Bethe-Salpeter equation, obtained directly in Minkowski space by using the Nakanishi integral representation of the Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2021-08-18 Emanuel Ydrefors , Wayne de Paula , Jorge H Alvarenga Nogueira , Tobias Frederico , Giovanni Salmé

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

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 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 pion structure in Minkowski space is described in terms of an analytic model of the Bethe-Salpeter amplitude combined with Euclidean Lattice QCD results for the running quark mass. In the present work, a pion model previously proposed,…

High Energy Physics - Phenomenology · Physics 2019-12-17 J. P. B. C. de Melo , Rômulo M. Moita , Tobias Frederico

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

The interaction kernel in the Bethe-Salpeter equation for quark-antiquark bound states is derived from the Bethe-Salpeter equations satisfied by the quark-antiquark four-point Green's function. The latter equations are established based on…

High Energy Physics - Theory · Physics 2009-11-07 Jun-Chen Su

We provide a novel approach to calculate the gravitational form factor of pion under the ladder approximation of the Bethe-Salpeter equation, with contact interactions. Central to this approach is a symmetry-preserving treatment of the…

High Energy Physics - Phenomenology · Physics 2023-03-01 Zanbin Xing , Minghui Ding , Lei Chang

The spectra and electroweak decay properties of light mesons are analyzed within the framework of the instantaneous Bethe-Salpeter equation. The interaction kernel comprises alternative spin-structures for a parameterization of confinement…

Nuclear Theory · Physics 2011-07-19 C. R. Münz , J. Resag , B. C. Metsch , H. R. Petry

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

In this work we study the meson properties in the framework of an effective quark model. We start from the Bethe-Salpeter equation choosing the interaction kernel in nonlocal form with the Gaussian meson vertex function, characterized by a…

High Energy Physics - Phenomenology · Physics 2025-12-11 A. Friesen , Yu. Kalinovsky , A. Khmelev

The parton distribution of the pion is obtained for the first time from the solution of a dynamical equation in Minkowski space. The adopted equation is the homogeneous Bethe-Salpeter one with a ladder kernel, described in terms of i)…

High Energy Physics - Phenomenology · Physics 2022-04-15 W. de Paula , E. Ydrefors , J. H. Alvarenga Nogueira , T. Frederico , G. Salmè

The Bethe--Salpeter equations for the quark-antiquark composite systems with different quark masses, such as $q\bar s$ (with $q=u$,$d$), $q\bar Q$ and $s \bar Q$ (with $Q=c$,$b$), are written in terms of spectral integrals. For the mesons…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. V. Anisovich , V. V. Anisovich , V. N. Markov , M. A. Matveev , A. V. Sarantsev
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