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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

We calculate the pion-pion elastic scattering phase shifts for pion masses from the chiral limit to values of interest for lattice studies. At low energies, we use the standard Chiral Perturbation Theory expressions to one and two loops. In…

High Energy Physics - Phenomenology · Physics 2011-10-11 J. Nebreda , J. R. Pelaez , G. Rios

Mathematical ambiguities in partial-wave analysis present a significant challenge to the extraction of resonance properties in hadronic reactions. Recent work has shown that while linear photon polarization can resolve continuous…

High Energy Physics - Phenomenology · Physics 2025-09-24 Derek I. Glazier , Vincent Mathieu

We compare the low-energy partial wave analyses $\pi N$ scattering with a high-energy data via finite energy sum rules. We construct a new set of amplitudes by matching the imaginary part from the low-energy analysis with the high-energy,…

High Energy Physics - Phenomenology · Physics 2018-04-30 V. Mathieu , I. V. Danilkin , C. Fernández-Ramírez , M. R. Pennington , D. Schott , A. P. Szczepaniak , G. Fox

We present a determination of the pion-nucleon sigma-term based on a novel analysis of the $\pi N$ scattering amplitude in Lorentz covariant baryon chiral perturbation theory renormalized in the extended-on-mass-shell scheme. This…

High Energy Physics - Phenomenology · Physics 2015-06-03 J. Martin Camalich , J. M. Alarcon , J. A. Oller

We report the results of a phase-shift analysis (PSA) of the low-energy $\pi^\pm p$ elastic-scattering data. Following the method which we had set forth in our previous PSA (Matsinos et al., 2006), we first investigate the self-consistency…

High Energy Physics - Phenomenology · Physics 2015-06-04 Evangelos Matsinos , Guenther Rasche

Near threshold pion production experiments have been recently carried out and used to extract S--wave $\pi\pi$ scattering lengths. We emphasize here that at present these processes are related only at the tree level (and its first…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. G. Olsson , Ulf-G. Meißner , N. Kaiser , V. Bernard

We analyze the Roy equations for the lowest partial waves of elastic pi pi scattering and demonstrate that the two S-wave scattering lengths a_0^0 and a_0^2 are the essential parameters in the low energy region: Once these are known, the…

High Energy Physics - Phenomenology · Physics 2011-07-19 B. Ananthanarayan , G. Colangelo , J. Gasser , H. Leutwyler

We stress, on theoretical and phenomenological grounds, the importance of the $\Delta(1232)$-resonance in a chiral effective field theory approach applied to the study of $\pi N$ scattering. We show how its inclusion as a dynamical degree…

High Energy Physics - Phenomenology · Physics 2015-06-17 J. M. Alarcón

We calculate the valence quark distribution functions of the $\pi$ meson using the non-relativistic chiral constituent quark model. The $\pi$ wave function is obtained by solving the two-body Schr\"odinger equation within the framework of…

High Energy Physics - Phenomenology · Physics 2023-08-21 Qian Wu , Chengdong Han , Di Qing , Wei Kou , JuJun Xie , Fan Wang , Xurong Chen

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

A three-channel, multi-resonance, unitary model developed in 1995 is used to determine the $\pi N \rightarrow \eta N$ and $\eta N \rightarrow \eta N$ amplitudes using as input the latest data for the dominant $S_{11}$ $\pi N$ elastic…

Nuclear Theory · Physics 2007-05-23 Mijo Batinic , Ivan Dadic , Ivo Slaus , Alfred Svarc , B. M. K. Nefkens , T. -S. H. Lee

We develop a novel approach to chiral meson-baryon dynamics incorporating unitarity constraints and explicit resonance fields. It is based on the most general structure of any pion-nucleon partial wave amplitude neglecting the unphysical…

Nuclear Theory · Physics 2009-10-31 Ulf-G. Meißner , J. A. Oller

This work presents a simple method to determine the significant partial wave contributions to experimentally determined observables in pseudoscalar meson photoproduction. First, fits to angular distributions are presented and the maximum…

Data Analysis, Statistics and Probability · Physics 2020-09-22 Y. Wunderlich , F. Afzal , A. Thiel , R. Beck

Analyzing the pion-mass dependence of $\pi\pi$ scattering phase shifts beyond the low-energy region requires the unitarization of the amplitudes from chiral perturbation theory. In the two-flavor theory, unitarization via the…

High Energy Physics - Phenomenology · Physics 2021-03-17 Malwin Niehus , Martin Hoferichter , Bastian Kubis , Jacobo Ruiz de Elvira

We present a partial-wave analysis of the polarization data for the reaction $\vec{p}\vec{p}\to pp\pi^\circ$, based solely on the recent measurements at IUCF for this channel. The fit leads to a $\chi^2$ per degree of freedom of 1.7.…

High Energy Physics - Phenomenology · Physics 2009-11-11 P. N. Deepak , J. Haidenbauer , C. Hanhart

We apply the one-loop results of the $SU(3)_L\times SU(3)_R$ ChPT suplemented with the inverse amplitude method to fit the available experimental data on $\pi\pi$ and $\pi K$ scattering. With esentially only three parameters we describe…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Dobado , J. R. Pelaez

Electron-positron pair production is investigated in the multiphoton regime under polarized fields. Partial wave analysis can be applied to reveal the momentum spectral structure and identify the positions of valleys/peaks of the…

High Energy Physics - Phenomenology · Physics 2024-08-13 Hong-Hao Fan , Li-Na Hu , Suo Tang , Zi-Liang Li , Bai-Song Xie

The most general spin structures of the spin-1/2 baryon and spinless meson production operator for both photon and nucleon induced reactions are derived from the partial-wave expansions of these reaction amplitudes. The present method…

Nuclear Theory · Physics 2007-05-23 K. Nakayama , W. G. Love

We present a detailed analysis of $e^+e^-\to\pi^+\pi^-$ data up to $\sqrt{s}=1\,\text{GeV}$ in the framework of dispersion relations. Starting from a family of $\pi\pi$ $P$-wave phase shifts, as derived from a previous Roy-equation analysis…

High Energy Physics - Phenomenology · Physics 2019-02-06 Gilberto Colangelo , Martin Hoferichter , Peter Stoffer
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