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The $NN$ scattering near inelastic threshold is sensitive to the long-range diagonal interaction in the produced isobar channel. Earlier models included meson exchange potentials in the $NN$ sector and connecting that sector to isobar…

Nuclear Theory · Physics 2007-05-23 P. LaFrance , E. L. Lomon , M. Aw

The relation between scattering and production amplitudes are investigated, using a simple field theoretical model, from the general viewpoint of unitarity and the applicability of final state interaction(FSI-) theorem. The IA-method and…

High Energy Physics - Phenomenology · Physics 2009-10-30 Muneyuki Ishida , Shin Ishida , Taku Ishida

We present consistent theoretical descriptions of the $\pi N \to e^+e^- N$ and $\gamma N \to e^+e^- N$ reactions on proton and neutron targets for total center of mass energies $\sqrt s$ ranging between 1.50 GeV and 1.75 GeV. These…

Nuclear Theory · Physics 2007-05-23 Madeleine Soyeur , Matthias F. M. Lutz

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

Compound resonances in nucleon-nucleus scattering are related to the discrete spectrum of the target. Such resonances can be studied in a unified and general framework by a scattering model that uses sturmian expansions of postulated…

Nuclear Theory · Physics 2015-06-26 K. Amos , L. Canton , G. Pisent , J. P. Svenne , D. van der Knijff

The $\bar{K} + N \to K + \Xi$ reaction is studied for center-of-momentum energies ranging from threshold to 3 GeV in an effective Lagrangian approach that includes the hyperon $s$- and $u$-channel contributions as well as a phenomenological…

Nuclear Theory · Physics 2015-06-29 Benjamin C. Jackson , Yongseok Oh , H. Haberzettl , K. Nakayama

We evaluate the $\pi N$ compositeness of the $\Delta (1232)$ resonance so as to clarify the internal structure of $\Delta (1232)$ in terms of the $\pi N$ component. Here the compositeness is defined as contributions from two-body wave…

High Energy Physics - Phenomenology · Physics 2016-06-22 Takayasu Sekihara , Takashi Arai , Junko Yamagata-Sekihara , Shigehiro Yasui

Pion scattering and electro-production amplitudes have been computed in a coupled-channel framework incorporating quasi-bound quark-model states, based on the Cloudy Bag model. All relevant low-lying nucleon resonances in the P33, P11, and…

Nuclear Theory · Physics 2011-09-02 Simon Sirca , Bojan Golli , Manuel Fiolhais , Pedro Alberto

A new construction is presented for point interactions (PI) and generalised point interactions (GPI). The construction is an inverse scattering procedure, using integral transforms suggested by the required scattering theory. The usual…

High Energy Physics - Theory · Physics 2007-05-23 C. J. Fewster

This work presents a lattice quantum chromodynamics (QCD) determination of $\pi\pi\pi$ scattering amplitudes for the isospin-2 channel with angular momentum and parity $J^{P} = 1^+$. The calculation is performed using unphysically heavy…

High Energy Physics - Lattice · Physics 2025-11-19 Raúl A. Briceño , Maxwell T. Hansen , Andrew W. Jackura , Robert G. Edwards , Christopher E. Thomas

In view of the recent results of lattice QCD simulation in the P11 partial wave that has found no clear signal for the three-quark Roper state we investigate a different mechanism for the formation of the Roper resonance in a coupled…

High Energy Physics - Phenomenology · Physics 2018-03-14 B. Golli , H. Osmanović , S. Širca , A. Švarc

We present a novel analysis of the $\pi N$ scattering amplitude in covariant baryon chiral perturbation theory up to ${\cal O}(p^3)$ within the extended-on-mass-shell renormalization scheme and including the $\Delta(1232)$ explicitly in the…

High Energy Physics - Phenomenology · Physics 2015-06-11 J. M. Alarcón , J. Martin Camalich , J. A. Oller

Within a dynamical coupled-channels model which has already been fixed from analyzing the data of the pi N -> pi N and gamma N -> pi N reactions, we present the predicted double pion photoproduction cross sections up to the second resonance…

Nuclear Theory · Physics 2009-12-31 H. Kamano , B. Julia-Diaz , T. -S. H. Lee , A. Matsuyama , T. Sato

An accurate, closed-form expression evaluating the nonlinear interference (NLI) power in coherent optical transmission systems in the presence of inter-channel stimulated Raman scattering (ISRS) is derived. The analytical result enables a…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Daniel Semrau , Robert I. Killey , Polina Bayvel

A chiral quark model approach is extended to the study of the $\pi N$ scattering at low energies. The process of $\pi^{-}p \to \eta n$ near threshold is investigated. The model is successful in describing the differential cross sections and…

Nuclear Theory · Physics 2008-11-26 Xian-Hui Zhong , Qiang Zhao , Jun He , Bijan Saghai

For coupled-channel resonance scattering we derive a model with a closed form solution for the $T$-matrix that satisfies unitarity and analyticity. The two-channel case is handled explicitly for an arbitrary number of resonances. The method…

Nuclear Theory · Physics 2009-11-07 N. E. Ligterink

An effective Lagrangian model in a coupled channels framework is applied to extract nucleon resonance parameters. In the K-matrix approximation, we simultaneously analyze all the available data for the transitions from pi N to five possible…

Nuclear Theory · Physics 2007-05-23 A. Waluyo , C. Bennhold , H. Haberzettl , G. Penner , U. Mosel , T. Mart

The $\Lambda(1405)$ resonance production reaction is investigated within the framework of the coupled-channels Alt-Grassberger-Sandhas (AGS) equations. We perform full three-body calculations for the $\bar{K}NN-\pi YN$ amplitudes on the…

Nuclear Theory · Physics 2016-03-08 Shota Ohnishi , Yoichi Ikeda , Tetsuo Hyodo , Wolfram Weise

Phase shifts and inelasticity parameters for $NN$ scattering in the partial-wave channels ${}^3S_1$--${}^3D_1$ and ${}^1S_0$ at energies $T_{\rm lab}$ from zero to about 1 GeV are described within a unified $NN$ potential model assuming the…

Nuclear Theory · Physics 2020-09-15 V. I. Kukulin , O. A. Rubtsova , M. N. Platonova , V. N. Pomerantsev , H. Clement , T. Skorodko

A pi-pi, Kbar-K, and rho-rho(omega-omega) fully coupled channel model is used to predict the lowest isospin S, P, D, F-wave phase shifts and inelasticities for elastic pi-pi scattering from threshold to 2.0 GeV. As input the S-matrix is…

Nuclear Theory · Physics 2009-10-30 W. M. Kloet , B. Loiseau
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