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Related papers: Roper resonances in chiral quark models

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We generalize our previous work on \pi\pi scattering to K\pi scattering, and re-analyze the experiment data of K\pi scattering below 1.6 GeV. Without any free parameter, we explain K\pi I=3/2 S-wave phase shift very well by using t-channel…

High Energy Physics - Phenomenology · Physics 2008-11-26 Long Li , Bing-song Zou , Guang-lie Li

We analyze Pion Nucleon Scattering up to 700 MeV using a simple, relativistic, unitary model\cite{1}. The kernel of the integral equation includes nucleon, roper, delta, D_13 as well as S_11 poles with their corresponding crossed pole terms…

In this present investigation, we explore the elastic scattering of pions with nuclei ($\pi$-$A$), primarily influenced by the $\Delta$(1232) resonance, within the Eikonal-Glauber model. The medium effects are incorporated by considering…

High Energy Physics - Phenomenology · Physics 2024-02-22 Hyeon-dong Han , Parada T. P. Hutauruk , Seung-il Nam

In [1], we initiated a program for the quantitative investigation of dynamical chiral symmetry breaking and resonant bound states in QCD with the functional renormalisation group, concentrating on the full infrared dynamics of four-quark…

High Energy Physics - Phenomenology · Physics 2024-12-04 Wei-jie Fu , Chuang Huang , Jan M. Pawlowski , Yang-yang Tan

Within a chiral constituent quark model approach, $\eta$-meson production on the proton {\it via} electromagnetic and hadron probes are studied. With few parameters, differential cross-section and polarized beam asymmetry for \gamma p \to…

Nuclear Theory · Physics 2013-05-29 Jun He , B. Saghai

The quark-mass dependence of the $N^*(920)$ pole is analyzed using $K$-matrix method, with the $\pi N$ scattering amplitude calculated up to $O(p^3)$ order in chiral perturbation theory. As the quark mass increases, the $N^*(920)$ pole…

High Energy Physics - Phenomenology · Physics 2025-12-12 Xu Wang , Kai-Ge Kang , Qu-Zhi Li , Zhiguang Xiao , Han-Qing Zheng

The Roper resonance is described in a chiral version of the chromodielectric model as a cluster of three quarks in radial-orbital configuration (1s)$^2$(2s)$^1$, surrounded by $\pi$ and $\sigma$-meson clouds and by a chromodielectric field…

High Energy Physics - Phenomenology · Physics 2009-11-07 P. Alberto , M. Fiolhais , B. Golli , J. Marques

A model field theory, in which the interaction between quarks is mediated by dressed vector boson exchange, is used to analyse the pionic sector of QCD. It is shown that this model, which incorporates dynamical chiral symmetry breaking,…

High Energy Physics - Phenomenology · Physics 2010-03-04 Craig D. Roberts , Reginald T. Cahill , Martin E. Sevior , Nicolangelo Iannella

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

The chiral symmetry is applied to an extended constituent quark potential model. With random phase approximation (RPA), the model comprises sea quark excitations. To obtain the pseudoscalar $\pi$ meson as a Goldstone boson, the quark…

High Energy Physics - Phenomenology · Physics 2015-06-25 Weizhen Deng , Yanrui Liu , Xiaolin Chen , Dahai Lu , Shilin Zhu

Using two flavors of maximally twisted mass fermions, we calculate the S-wave pion-pion scattering length in the isospin I=2 channel and the P-wave pion-pion scattering phase in the isospin I=1 channel. In the former channel, the lattice…

High Energy Physics - Lattice · Physics 2010-11-25 Xu Feng , Karl Jansen , Dru B. Renner

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 pi-pi interaction amplitudes have been calculated using a three coupled channel model both with and without constraints imposed by chiral models. Roy's equations have been used to compare the amplitudes and to study the role played by…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert Kaminski

We present a determination of the isospin-1/2 elastic $\pi K$ scattering amplitudes in S and P partial waves using lattice Quantum Chromodynamics. The amplitudes, constrained for a large number of real-valued energy points, are obtained as…

High Energy Physics - Lattice · Physics 2019-07-31 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We propose a novel approach to describe the $D^+\to K^+K^-K^+$ decay amplitude, based on chiral effective Lagrangians, which can be used to extract information about $K\bar{K}$ scattering. Our trial function is an alternative to the widely…

High Energy Physics - Phenomenology · Physics 2018-10-03 R. T. Aoude , P. C. Magalhães , A. C. dos Reis , M. R. Robilotta

We discuss the impact of chiral symmetry constraints on the quark-mass dependence of meson resonance pole positions, which are encoded in non-perturbative parametrizations of meson scattering amplitudes. Model-independent conditions on such…

High Energy Physics - Lattice · Physics 2018-01-30 Peter C. Bruns , Maxim Mai

The multichannel S- and P-wave amplitudes for the pion-pion scattering, constructed requiring analyticity and unitarity of the S-matrix and using the uniformization procedure, are elaborated using the dispersion relations with imposed…

Nuclear Theory · Physics 2013-11-05 Petr Bydzovsky , Robert Kaminski

We present the first direct determination of meson-baryon resonance parameters from a scattering amplitude calculated using lattice QCD. In particular, we calculate the elastic $I=3/2$, $p$-wave nucleon-pion amplitude on a single ensemble…

High Energy Physics - Lattice · Physics 2018-02-13 Christian Walther Andersen , John Bulava , Ben Hörz , Colin Morningstar

The coupled processes -- the pion-pion scattering and pi pi --> K antiK in the I^GJ^{PC}=0^+0^{++} channel -- are analyzed (both separately and combined) in a model-independent approach based on analyticity and unitarity and using a…

High Energy Physics - Phenomenology · Physics 2013-11-04 Yu. S. Surovtsev , P. Bydzovsky , R. Kaminski , V. E. Lyubovitskij , M. Nagy

A dynamical approach is developed to predict the $\pi N$ scattering amplitudes starting with the constituent quark models. The first step is to apply a variational method to solve the three-quark bound state problem. The resulting wave…

Nuclear Theory · Physics 2009-10-31 T. Yoshimoto , T. Sato , M. Arima , T. -S. H. Lee