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Related papers: Extracting $\sigma_{\pi N}$ from pionic atoms

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Based on the recently proposed Roy-Steiner equations for pion-nucleon scattering, we derive a system of coupled integral equations for the pi pi --> N-bar N and K-bar K --> N-bar N S-waves. These equations take the form of a two-channel…

High Energy Physics - Phenomenology · Physics 2012-06-13 M. Hoferichter , C. Ditsche , B. Kubis , U. -G. Meißner

We present a high statistics study of the pion and nucleon light and strange quark sigma terms using $N_f=2$ dynamical non-perturbatively improved clover fermions with a range of pion masses down to $m_\pi\sim 150$ MeV and several volumes,…

High Energy Physics - Lattice · Physics 2016-08-06 Gunnar S. Bali , Sara Collins , Daniel Richtmann , Andreas Schäfer , Wolfgang Söldner , André Sternbeck

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 pion-nucleon amplitude is considered in the vicinity of the elastic scattering threshold within a relativistic dynamical model dressing the pi N N and pi N Delta vertices self-consistently with an infinite number of meson loops. The…

Nuclear Theory · Physics 2009-11-07 S. Kondratyuk

We review the structure of Roy-Steiner equations for pion-nucleon scattering, the solution for the partial waves of the t-channel process $\pi\pi\to \bar N N$, as well as the high-accuracy extraction of the pion-nucleon S-wave scattering…

High Energy Physics - Phenomenology · Physics 2016-03-24 Martin Hoferichter , Jacobo Ruiz de Elvira , Bastian Kubis , Ulf-G. Meißner

The scattering of $\gamma \pi \to \pi \pi$ is studied using the axial anomaly, elastic unitarity, analyticity and crossing symmetry. Using the technique to derive the Roy's equation, an integral equation for the P-wave amplitude is obtained…

High Energy Physics - Phenomenology · Physics 2009-11-07 Tran N. Truong

Recent data from the PIONS$@$MAX-lab Collaboration, measuring the total cross section of the pion incoherent photoproduction $\gamma d\to\pi^-pp$ near threshold, have been used to extract the E$_{0+}$ multipole and total cross section of…

Nuclear Theory · Physics 2020-04-07 W. J. Briscoe , A. E. Kudryavtsev , I. I. Strakovsky , V. E. Tarasov , R. L. Workman

A general algorithm for handling the energy dependence of meson-nucleon amplitudes in the nuclear medium has been recently applied to antikaons and to eta mesons. Here we test this approach on $\pi N$ amplitudes in pionic atoms where direct…

Nuclear Theory · Physics 2015-03-11 E. Friedman , A. Gal

I draw attention to a recent breakthrough in the field of low energy pion physics: the consequences of the hidden symmetry of the QCD Hamiltonian have successfully been incorporated in the general dispersive framework for the pi-pi…

High Energy Physics - Phenomenology · Physics 2009-11-07 H. Leutwyler

Analysis is performed of calculations of the elastic scattering differential cross sections of pions on the $^{28}$Si, $^{40}$Ca, $^{58}$Ni and $^{208}$Pb nuclei at energies from 130 to 290 MeV basing on the microscopic optical potential…

Nuclear Theory · Physics 2012-10-04 E. V. Zemlyanaya , V. K. Lukyanov , K. V. Lukyanov , E. I. Zhabitskaya , M. V. Zhabitsky

Based on a recent meson-exchange model for the vacuum $\pi\pi$ interaction we compute selfconsistently the in-medium $\pi\pi$ scattering amplitude and pion selfenergy in a hot $\pi N\Delta$ gas. The contributions to the pion selfenergy are…

Nuclear Theory · Physics 2010-11-01 R. Rapp , J. Wambach

The reaction ${n} {p} \to {p} {p} \pi^{-}$ has been studied in a kinematically complete measurement with a large acceptance time-of-flight spectrometer for incident neutron energies between threshold and 570 MeV. The proton-proton invariant…

Deeply bound 1s states of $\pi^-$ in $^{115,119,123}$Sn were preferentially observed using the Sn($d$,$^3$He) pion-transfer reaction under the recoil-free condition. The 1s binding energies and widths were precisely determined, and were…

The strong interaction shift $\epsilon$ and broadening {\Gamma} in pionic deuterium have been determined in a high statistics study of the {\pi}D(3p - 1s) X-ray transition using a high-resolution crystal spectrometer. The pionic deuterium…

The incoherent pion photoproduction reaction gd-->pi-pp is considered theoretically in a wide energy region Eth =< Eg =< 2700 MeV. The model applied contains the impulse approximation as well as the NN- and piN-FSI amplitudes. The aim of…

High Energy Physics - Phenomenology · Physics 2013-05-29 V. E. Tarasov , W. J. Briscoe , H. Gao , A. E. Kudryavtsev , I. I. Strakovsky

We show that processes involving pions that remain very near their mass-shell can be reliably computed in the pionless effective field theory, with the pion integrated in as a heavy field. As an application, we compute the pion-deuteron…

Nuclear Theory · Physics 2009-11-07 Silas R. Beane , Martin J. Savage

We present a new and improved model independent amplitude analysis of reactions $\pi^+ n_\uparrow \to \pi^+ \pi^- p$ at 5.98 and 11.85 GeV/c and $\pi^- p_\uparrow \to \pi^- \pi^+ n$ at 17.2 GeV/c measured with transversely polarized targets…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Svec

We apply the generalized effective-range expansion of Phys. Rev. Lett. 135, 011903(2025), which incorporates the left-hand cut from one-pion exchange, to low-energy neutron-proton scattering in the $^1S_0$ and $^3S_1$ channels. The…

High Energy Physics - Phenomenology · Physics 2026-02-04 Bo-Yang Liu , Bing Wu , Ji-Wei Fu , Meng-Lin Du , Feng-Kun Guo , Ulf-G. Meißner

A modified linear sigma model that allows for $g_A = 1.26$ by addition of vector and pseudovector $\pi N$ coupling terms was discussed by Bjorken and Nauenberg and by Lee. In this extended linear sigma model the elastic $\pi $N scattering…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. Dmitrasinovic , F. Myhrer

The pion-nucleon sigma term, characterizing the mass component of Higgs origin related to $u$ and $d$ quarks inside the nucleon, is investigated within relativistic baryon chiral perturbation theory at leading two-loop order using the…

High Energy Physics - Phenomenology · Physics 2025-08-18 Ze-Rui Liang , Han-Xue Chen , Feng-Kun Guo , Zhi-Hui Guo , De-Liang Yao