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We present a formulation of the compositeness for baryonic resonances in order to discuss the meson-baryon molecular structure inside the resonances. For this purpose, we derive a relation between the residue of the scattering amplitude at…

High Energy Physics - Phenomenology · Physics 2016-03-30 Takayasu Sekihara , Takashi Arai , Junko Yamagata-Sekihara , Shigehiro Yasui

The $N(1440)1/2^+$ nucleon resonance, first identified in 1964 by L.D. Roper and collaborators in analyses of $\pi N$ hadroproduction data have continued to provide pivotal insights that serve to advance our understanding of nucleon excited…

Nuclear Experiment · Physics 2025-11-05 V. I. Mokeev , D. S. Carman

Calculations of the elastic $I=\frac{3}{2}$ nucleon-pion scattering phase shifts on two lattice QCD ensembles with $m_\pi=200\mathrm{MeV}$ and $280\mathrm{MeV}$ are presented. The ensembles both employ $N_\mathrm{f} = 2+1$ Wilson clover…

High Energy Physics - Lattice · Physics 2019-11-25 Christian Walther Andersen , John Bulava , Ben Hörz , Colin Morningstar

We present a lattice QCD study of $N\pi$ scattering in the positive-parity nucleon channel, where the puzzling Roper resonance $N^*(1440)$ resides in experiment. The study is based on the PACS-CS ensemble of gauge configurations with…

High Energy Physics - Lattice · Physics 2017-02-08 C. B. Lang , L. Leskovec , M. Padmanath , S. Prelovsek

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 meson-baryon molecular components for the $N^{\ast}$ and $\Delta ^{\ast}$ resonances are investigated in terms of the compositeness, which is defined as the norm of the two-body wave function from the meson-baryon scattering amplitudes.…

Nuclear Theory · Physics 2021-09-22 Takayasu Sekihara

We investigate the elastic $\pi N$ scattering for the $I=3/2$ channel dominated by the $\Delta(1232)$ resonance at finite baryon density $\rho_B$ for the symmetric nuclear matter, employing the effective Lagrangian approach at the…

Nuclear Theory · Physics 2023-02-22 Hyeon-dong Han , Parada T. P. Hutauruk , Seung-il Nam

We derive a method to calculate the multi-channel K matrix applicable to a broad class of models in which mesons linearly couple to the quark core. The method is used to calculate pion scattering amplitudes in the energy region of low-lying…

High Energy Physics - Phenomenology · Physics 2008-12-18 Bojan Golli , Simon Sirca

We undertake a covariance error analysis of the pion-nucleon-nucleon coupling constants from the Granada-2013 np and pp database comprising a total of 6720 scattering data below LAB energy of 350 MeV. Assuming a unique pion-nucleon coupling…

Nuclear Theory · Physics 2017-06-28 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

Coherent Compton scattering on light nuclei in the delta resonance region is studied in the impulse approximation and is shown to be a sensitive probe of the in-medium properties of the delta resonance. The elementary amplitude on a single…

Nuclear Theory · Physics 2016-09-08 L. Van Daele , A. Yu. Korchin , D. Van Neck , O. Scholten , M. Waroquier

We present results of a new multichannel partial-wave analysis for \pi N scattering in the c.m. energy range 1080 to 2100 MeV. This work explicitly includes \eta N and K \Lambda channels and the single pion photoproduction channel.…

High Energy Physics - Phenomenology · Physics 2013-05-30 M. Shrestha , D. M. Manley

A semi-microscopic approach based on both the continum-random-phase-approximation (CRPA) method and a phenomenological treatment of the spreading effect is extended and applied to describe the main properties (particle-hole strength…

Nuclear Theory · Physics 2009-11-10 M. L. Gorelik , I. V. Safonov , M. H. Urin

We present a model for electron- and neutrino-scattering off nucleons and nuclei focussing on the quasielastic and resonance region. The lepton-nucleon reaction is described within a relativistic formalism that includes, besides…

Nuclear Theory · Physics 2009-04-03 T. Leitner , O. Buss , L. Alvarez-Ruso , U. Mosel

A two-channel problem is considered within a method based on first order differential equations that are equivalent to the corresponding Schr\"odinger equation but are more convenient for dealing with resonant phenomena. Using these…

Quantum Physics · Physics 2015-05-30 S. A. Rakityansky , N. Elander

Using Dyson--Schwinger equations, the nucleon propagator is analyzed nonperturbatively in a field--theoretical model for the pion--nucleon interaction. Infinities are circumvented by using pion--nucleon form factors which define the…

Nuclear Theory · Physics 2010-02-17 M. Oettel , A. W. Thomas

Next to leading order effective field theory calculations are performed for $ {}^1S_0$ NN scattering using subtractive renormalization procedure. One pion exchange and contact interaction potentials are iterated using Lippman-Schwinger…

Nuclear Theory · Physics 2009-10-31 J. Gegelia

Exclusive measurements of the quasi-free $pn \to pp\pi^-$ and $pp \to pp\pi^0$ reactions have been performed by means of $pd$ collisions at $T_p$ = 1.2 GeV using the WASA detector setup at COSY. Total and differential cross sections have…

We revisit the information on the two lightest $a_0$ resonances and $S$-wave $\pi\eta$ scattering that can be extracted from photon-photon scattering experiments. For this purpose we construct a model for the $S$-wave photon-photon…

High Energy Physics - Phenomenology · Physics 2020-06-24 Junxu Lu , B. Moussallam

We solve the Klein-Gordon equation in the presence of a spatially one-dimensional cusp potential. The scattering solutions are obtained in terms of Whittaker functions and the condition for the existence of transmission resonances is…

High Energy Physics - Theory · Physics 2008-11-26 Victor M. Villalba , Clara Rojas

The extraction of the isovector s-wave pi N amplitude from pionic atoms is studied with special emphasis on uncertainties and their dependence on the assumptions made regarding the neutron density distributions in nuclei and on the size of…

Nuclear Theory · Physics 2009-11-10 E. Friedman , A. Gal
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