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Related papers: Solving the four-dimensional $NN-\pi NN$ equations…

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The pion-nucleon scattering is investigated by using several three-dimensional reduction schemes of the Bethe-Salpeter equation for a model Lagrangian involving $\pi$, $N$, $\Delta$, $\rho$, and $\sigma$ fields. It is found that all of the…

Nuclear Theory · Physics 2009-11-07 Cheng-Tsung Hung , Shin Nan Yang , T. -S. H. Lee

We derive a set of coupled four-dimensional integral equations for the $NN-\pi NN$ system using our modified version of the Taylor method of classification-of-diagrams. These equations are covariant, obey two and three-body unitarity and…

Nuclear Theory · Physics 2009-04-17 D. R. Phillips , I. R. Afnan

We establish the model-independent spin structure of the matrix elements for the near-threshold scalar meson production in $pp-$ and $np$-collisions, when the final particles are emitted in S-state. Polarization phenomena are derived in a…

Nuclear Theory · Physics 2009-11-07 Michail P. Rekalo , Egle Tomasi-Gustafsson

We present a coupled-channel Lagrangian approach (GiM) to describe the $\pi N \to \pi N$, $2\pi N$ scattering in the resonance energy region. The $2\pi N$ production has been significantly improved by using the isobar approximation with…

Nuclear Theory · Physics 2016-04-20 V. Shklyar , H. Lenske , U. Mosel

It is shown that the threshold productions of $\pi^0 pp$, $\pi^+ np$ and $\pi^+ d$ from $pp$ collisions can be consistently described by a model consisting of a pion s-wave rescattering and $N\bar N$ pair-terms of heavy-meson exchanges. The…

Nuclear Theory · Physics 2016-09-08 T. -S. H. Lee

With an effective Lagrangian approach, we analyze several NN \to NN\pi\pi channels by including various resonances with mass up to 1.72 GeV. For the channels with the pion pair of isospin zero, we confirm the dominance of N*(1440)\to…

Nuclear Theory · Physics 2015-03-13 Xu Cao , Bing-Song Zou , Hu-Shan Xu

A meson-exchange model for pion-nucleon scattering was previously constructed using a three-dimensional reduction scheme of the Bethe-Salpeter equation for a model Lagrangian involving \pi, \eta, N, \Delta, \rho, and \sigma fields. We…

Nuclear Theory · Physics 2008-11-26 Guan Yeu Chen , S. S. Kamalov , Shin Nan Yang , D. Drechsel , L. Tiator

The pseudoscalar meson-baryon octet interaction is studied within a nonlinear realized Lagrangian, and then the Bethe-Salpeter equation is solved in the unitary coupled-channel approximation. In sector of strangeness $S=-1$ and isospin…

High Energy Physics - Phenomenology · Physics 2019-12-30 Bao-Xi Sun , Zheng-Ran Zhang , Hai-Lin Wu , Si-Yu Zhao , Fang-Yong Dong

We investigate the relation between different three-dimensional reductions of the Bethe-Salpeter equation and the analytic structure of the resultant amplitudes in the energy plane. This correlation is studied for both the $\phi^2\sigma$…

Nuclear Theory · Physics 2009-11-07 A. D. Lahiff , I. R. Afnan

With an effective Lagrangian approach, we give a full analysis on the $NN \to NN\pi\pi$ and $\bar{N}N\to \bar{N}N\pi\pi$ reactions by exploring the roles of various resonances with mass up to 1.72 GeV. We find large contributions from…

Nuclear Theory · Physics 2011-03-02 Xu Cao , Bing-Song Zou , Hu-Shan Xu

We use the semiclassical formalism based on singular solutions in complex time to compute scattering rates for multiparticle production at high energies. In a weakly coupled $\lambda \phi^4$ scalar field theory in four dimensions, we…

High Energy Physics - Phenomenology · Physics 2019-03-11 Valentin V. Khoze

Based on the recently proposed Roy-Steiner equations for pion-nucleon scattering, we derive a system of coupled integral equations for the pi pi --> N-bar N and K-bar K --> N-bar N S-waves. These equations take the form of a two-channel…

High Energy Physics - Phenomenology · Physics 2012-06-13 M. Hoferichter , C. Ditsche , B. Kubis , U. -G. Meißner

Considering two-body integral equations we show how they can be dimensionally reduced by integrating exactly over the azimuthal angle of the intermediate momentum. Numerical solution of the resulting equation is feasible without employing a…

Nuclear Theory · Physics 2016-09-08 George Caia , Vladimir Pascalutsa , Louis E. Wright

A meson-exchange piN model, previously constructed using three-dimensional reduction scheme of the Bethe-Salpeter equation for a model Lagrangian involving \pi, \eta, N, \Delta, rho, and \sigma fields, is extended to energies up to 2 GeV by…

Nuclear Theory · Physics 2008-11-26 Shin Nan Yang , Guan Yeu Chen , S. S. Kamalov

The $\omega$-meson photoproduction, $\gamma+p\to p+\omega$, is studied in the framework of a model, containing $\pi$-meson exchange in t-channel and nucleon-exchange in s- and u-channels. Considering both $\omega NN$-coupling constants in…

Nuclear Theory · Physics 2007-05-23 H. Babacan , T. Babacan , A. Gokalp , O. Yilmaz

We present a coupled system of integral equations for the pi pi --> Nbar N and Kbar K --> Nbar N S-waves derived from Roy-Steiner equations for pion-nucleon scattering. We discuss the solution of the corresponding two-channel…

Nuclear Theory · Physics 2012-11-08 Martin Hoferichter , Christoph Ditsche , Bastian Kubis , Ulf-G. Meißner

The gauged Nambu-Jona-Lasinio model in the quenched-ladder approximation has non-trivial dynamics near a critical scaling region (critical curve) separating a chiral symmetric and a dynamically chiral symmetry broken phase. Scalar and…

High Energy Physics - Theory · Physics 2016-08-25 V. P. Gusynin , M. Reenders

I present a short review of the current understanding of the scalar meson sector, with special attention to the problem of the low-mass $\sigma$. The dispersion relation $N/D$-method used for the restoration of the low-energy $\pi\pi$…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. V. Anisovich

We analyze the production of $\phi$ mesons in $\pi N$ and NN reactions in the near-threshold region, using throughout the conventional ``non-strange'' dynamics based on such processes which are allowed by the non-ideal $\omega-\phi$ mixing.…

Nuclear Theory · Physics 2008-11-26 A. I. Titov , B. Kämpfer , B. L. Reznik

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
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