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Related papers: Nucleon resonance parameters from Roy-Steiner equa…

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We evaluate the in-medium spectral functions for pions, nucleon and isobar resonances in a self consistent and covariant manner. The calculations are based on a recently developed formulation which leads to predictions in terms of the…

Nuclear Theory · Physics 2010-12-16 C. L. Korpa , M. F. M. Lutz

We present a pedagogical study of the commonly employed Speed-Plot (SP) and Time-delay (TD) methods for extracting the resonance parameters from the data of two particle coupled-channels reactions. Within several exactly solvable models, it…

Nuclear Theory · Physics 2009-03-04 N. Suzuki , T. Sato , T. -S. H. Lee

We study the stability of resonance poles in pi-N P_11 partial wave, particularly the Roper resonance, by varying parameters significantly within the EBAC dynamical coupled-channels model, keeping a good fit to the empirical amplitude. We…

Nuclear Theory · Physics 2015-05-28 S. X. Nakamura

Starting from hyperbolic dispersion relations, we derive a system of Roy--Steiner equations for pion Compton scattering that respects analyticity, unitarity, gauge invariance, and crossing symmetry. It thus maintains all symmetries of the…

High Energy Physics - Phenomenology · Physics 2011-09-27 Martin Hoferichter , Daniel R. Phillips , Carlos Schat

Nucleon and $\Delta$ resonances in the fourth resonance region are studied in a multichannel partial-wave analysis which includes nearly all available data on pion- and photo-induced reactions off protons. In the high-mass range, above…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. V. Anisovich , E. Klempt , V. A. Nikonov , A. V. Sarantsev , U. Thoma

We study the pion-nucleon P_33 and P_11 scattering, where the Delta and the Roper resonances are seen, respectively. We use the Lippmann-Schwinger equation extended to couple to a one-body state, and investigate nature of these resonances…

Nuclear Theory · Physics 2008-11-26 Takashi Inoue

We investigate the one pion decay of the Roper resonance $N^*(1440)$$\to$$N$${\pi}$ in the Sakai-Sugimoto model of the holographic QCD. The nucleon and Roper resonance emerge as ground and first excited states of the collective radial…

High Energy Physics - Phenomenology · Physics 2021-08-04 Daisuke Fujii , Atsushi Hosaka

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

In this paper, it is shown that the experimental values of the nonextensive scattering entropies $S_L (p)$ and $S_\theta (q)$ for the pion-nucleus ($\pi^0 He, \pi^0 C, \pi^0 O, \pi^0 Ca$) scatterings, in the energy region corresponding to…

General Physics · Physics 2013-07-23 D. B. Ion , M. L. Ion

In this work, we present a precise and model--independent method to extract resonance pole parameters from phase-shift scattering data. These parameters are defined from the associated poles in the second Riemann sheet, unfolded by the…

High Energy Physics - Phenomenology · Physics 2015-06-23 Pere Masjuan , Jacobo Ruiz de Elvira , Juan José Sanz-Cillero

We present preliminary results of an improved pion-pion scattering dispersive analysis that includes: a refined treatment of inelasticities, the introduction of G-waves, the extension of Forward Dispersion Relations as constraints up to 1.6…

High Energy Physics - Phenomenology · Physics 2025-02-19 P. Rabán , J. R. Peláez , J. Ruiz de Elvira

We present a relativistic and unitary approach to pion- and photon-nucleon scattering taking into account the $\pi N$, $\rho N$, $\omega N$, $\eta N$, $\pi\Delta$, $K \Lambda$ and $K \Sigma$ channels. Our scheme dynamically generates the s-…

Nuclear Theory · Physics 2010-12-16 M. F. M. Lutz , Gy. Wolf , B. Friman

Properties of the Roper resonance, the first scalar excitation of the nucleon, are determined. Pole positions and residues of the $P_{11}$ partial wave are studied in a combined analysis of pion- and photo-induced reactions. We find the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. V. Sarantsev

We show that two almost degenerate poles near the $\pi\Delta$ threshold and the next higher mass pole in the $P_{11}$ partial wave of $\pi N$ scattering evolve from a single bare state through its coupling with $\pi N$, $\eta N$ and $\pi\pi…

Nuclear Theory · Physics 2010-04-06 N. Suzuki , B. Julia-Diaz , H. Kamano , T. -S. H. Lee , A. Matsuyama , T. Sato

A simple heuristic argument to understand the existence of branch points in the unphysical sheet for pi-N scattering amplitude is presented. It is based on a hypothesis that the singularity structure of the pi-N scattering amplitude is a…

Nuclear Theory · Physics 2011-12-30 Shin Nan Yang

This paper is devoted to the interplay between p-wave, s-wave pion-nucleon/ nucleus interaction and in-medium pion-pion interaction with special emphasis on the role of the nuclear pionic scalar density driving a large amount of chiral…

Nuclear Theory · Physics 2007-05-23 Guy Chanfray , Dany Davesne

We use lattice QCD and the L\"uscher method to study elastic pion-nucleon scattering in the isospin $I = 3/2$ channel, which couples to the $\Delta(1232)$ resonance. Our $N_f=2+1$ flavor lattice setup features a pion mass of $m_\pi \approx…

We perform a rigorous analysis of the $\pi K$ scattering at an unphysical pion mass 391 MeV using the Roy-Steiner equations, which satisfy unitarity, analyticity and crossing symmetry, for the first time. Stable solutions of the Roy-Steiner…

High Energy Physics - Phenomenology · Physics 2025-08-01 Xiong-Hui Cao , Feng-Kun Guo , Zhi-Hui Guo , Qu-Zhi Li

We provide a precise, model- and parametrization-independent dispersive determination of the $f_0(500)$, $\rho(770)$, $f_0(980)$, $f_2(1270)$, $f_0(1370)$, $\rho(1450)$, $f_0(1500)$, and $\rho_3(1690)$ resonance pole parameters. They are…

High Energy Physics - Phenomenology · Physics 2026-02-20 José Ramón Peláez , Pablo Rabán , Jacobo Ruiz de Elvira

Pseudoscalar meson dominance has implications for nucleon structure which follow from an Extended Partial Conservation of the Axial Current (EPCAC). The minimal resonance saturation of the nucleon pseudoscalar form factor of the lowest…

High Energy Physics - Phenomenology · Physics 2023-07-05 Enrique Ruiz Arriola , Pablo Sanchez-Puertas