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Differential cross sections for elastic scattering of photons from the deuteron have recently been measured at the Tagged-Photon Facility at the MAX IV Laboratory in Lund, Sweden. These first new measurements in more than a decade further…

The deuteron, NN analyzing powers A_y, and the singlet scattering length show great sensitivity to the $\pi NN$ coupling constant $g_\pi$. While the pp A_y data favor $g^2_\pi/4\pi\leq 13.6$, the np A_y data and the deuteron quadrupole…

Nuclear Theory · Physics 2011-04-15 R. Machleidt

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

We show that the $\pi NN$ coupling constant extracted model-independently from $\bar pp$ charge exchange is subject to a systematic correction, and, more importantly, that the strong absorption in the critical region prevents a…

High Energy Physics - Phenomenology · Physics 2009-02-11 T. E. O. Ericson , B. Loiseau

We present a calculation of the pi^- d scattering length with an accuracy of a few percent using chiral perturbation theory. For the first time isospin-violating corrections are included consistently. Using data on pionic deuterium and…

Nuclear Theory · Physics 2010-12-21 V. Baru , C. Hanhart , M. Hoferichter , B. Kubis , A. Nogga , D. R. Phillips

There exist four pion nucleon coupling constants, $f_{\pi^0, pp}$, $-f_{\pi^0, nn}$, $f_{\pi^+, pn} /\sqrt{2}$ and $ f_{\pi^-, np} /\sqrt{2}$ which coincide when up and down quark masses are identical and the electron charge is zero. While…

Nuclear Theory · Physics 2016-09-21 E. Ruiz Arriola , J. E. Amaro , R. Navarro Perez

In the Yukawa model for nuclear forces, a simple relation between the charged and neutral pion-nucleon coupling constants is derived. The relation implies that the charged pion-nucleon coupling constant is larger than the neutral one since…

Nuclear Theory · Physics 2017-08-16 V. A. Babenko , N. M. Petrov

Measured values of the differential cross section for pion-nucleon charge exchange are presented at momenta 148, 174, 188, 212, 238, 271, 298, and 323 MeV/c, a region dominated by the Delta resonance. Complete angular distributions were…

Nuclear Experiment · Physics 2012-08-27 Crystal Ball Collaboration

As a first result of two new partial-wave analyses, one of the pp and another one of the np scattering data below 500 MeV, we report a study of the long-range chiral two-pion exchange interaction which contains the chiral coupling constants…

Nuclear Theory · Physics 2009-11-10 M. C. M. Rentmeester , R. G. E. Timmermans , J. J. de Swart

We have measured pion single charge exchange differential cross sections on the proton at 27.5 MeV incident $\pi^-$ kinetic energy in the center of momentum angular range between $0^\circ$ and $55^\circ$. The extracted cross sections are…

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…

The Goldberger-Miyazawa-Oehme sum rule is used to extract the pion-nucleon coupling constant from experimental $\pi$N information. Chiral perturbation theory is exploited in relating the pionic hydrogen s-wave level shift and width results…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. V. Abaev , P. Metsä , M. E. Sainio

We evaluate the $\pi N$ coupling constant using a QCD sum rule based on the pion-to-vacuum matrix element of the correlator of two interpolating nucleon fields. The part of the correlator with Dirac structure $k\llap/\gamma_5$ is used,…

High Energy Physics - Phenomenology · Physics 2009-10-28 Michael C. Birse , Boris Krippa

A non perturbative renormalization scheme for Nucleon-Nucleon interaction based on boundary conditions at short distances is presented and applied to the One Pion Exchange Potential. It is free of off-shell ambiguities and ultraviolet…

Nuclear Theory · Physics 2008-11-26 M. Pavon Valderrama , E. Ruiz Arriola

Within the conventional QCD sum rules, we calculate the $\pi NN$ coupling constant, $g_{\pi N}$, beyond the chiral limit using two-point correlation function with a pion. We consider the Dirac structure, $i\gamma_5$, at $m_\pi^2$ order,…

Nuclear Theory · Physics 2015-06-26 Hungchong Kim

A model independent expression for the electromagnetic corrections to a phenomenological hadronic pion-nucleon scattering length, extracted from pionic hydrogen, is obtained. In a non-relativistic approach and using an extended charge…

High Energy Physics - Phenomenology · Physics 2009-02-10 T. E. O. Ericson , B. Loiseau , S. Wycech

Pion-nucleus elastic scattering at energies above the Delta(1232) resonance is studied using both pi+ and pi- beams on 12C, 40Ca, 90Zr, and 208Pb. The present data provide an opportunity to study the interaction of pions with nuclei at…

With the aim of extracting the pion charge radius, we analyse extant precise pion+electron elastic scattering data on $Q^2 \in [0.015,0.144]\,$GeV$^2$ using a method based on interpolation via continued fractions augmented by statistical…

High Energy Physics - Phenomenology · Physics 2021-12-17 Zhu-Fang Cui , Daniele Binosi , Craig D. Roberts , Sebastian M. Schmidt

A partial-wave analysis of all antiproton-proton scattering data below 925 MeV/c antiproton laboratory momentum is presented. The method used is adapted from the Nijmegen phase-shift analyses of pp and np scattering data. The Nijmegen 1993…

Nuclear Theory · Physics 2009-09-25 R. Timmermans , Th. A. Rijken , J. J. de Swart

The sensitivity of the deuteron and of $pp$ scattering to the $\pi NN$ and $\rho NN$ coupling constants is investigated systematically. We find that the deuteron can be described about equally well with either {\it large $\pi$ and $\rho$}…

Nuclear Theory · Physics 2009-09-25 R. Machleidt , G. Q. Li