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A novel extrapolation method has been used to deduce the charged Pion-Nucleon coupling constant from backward $np$ differential scattering cross sections. We applied it to new measurements performed at 162 MeV at the The Svedberg Laboratory…

Nuclear Theory · Physics 2007-05-23 B. Loiseau , T. E. O. Ericson , J. Rahm , J. Blomgren , N. Olsson

The pion-nucleon coupling constants determine the strength of the long-range nuclear forces and play a fundamental part in our understanding of nuclear physics. While the charged- and neutral-pion couplings to protons and neutrons are…

Nuclear Theory · Physics 2021-03-10 P. Reinert , H. Krebs , E. Epelbaum

We study relationship between the physical quantities that characterize pion-nucleon and nucleon-nucleon interaction on the basis of the fact that nuclear forces in the nucleon-nucleon system at low energies are mainly determined by the…

Nuclear Theory · Physics 2016-04-12 V. A. Babenko , N. M. Petrov

The isovector GMO sum rule for zero energy forward pion-nucleon scattering is critically studied to obtain the charged pion-nucleon coupling constant using the precise negatively charged pion-proton and pion-deuteron scattering lengths…

High Energy Physics - Phenomenology · Physics 2010-02-17 B. Loiseau , T. E. O. Ericson , A. W. Thomas

Our extraction of the pion-nucleon coupling constant from \pi p elastic scattering data is outlined. A partial wave analysis (T_{\pi} < 2100 MeV) is performed simultaneously with a fixed-t dispersion relation analysis (T_{\pi} < 800 MeV).…

Nuclear Theory · Physics 2009-10-31 M. M. Pavan , R. A. Arndt , I. I. Strakovsky , R. L. Workman

{ {\bf Background:} Knowing the difference between the neutron and proton densities of nuclei is a significant topic because of its importance for understanding neutron star structures and cooling mechanisms. The coherent-nuclear…

Nuclear Theory · Physics 2019-10-23 Gerald A. Miller

From recent charge exchange measurements in the extreme forward direction, an independent and precise determination of the pion nucleon coupling constant is possible. This determination has reopened the debate on the value of this…

High Energy Physics - Phenomenology · Physics 2012-07-19 F. Myhrer

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

We critically evaluate the isovector GMO sum rule for forward pion-nucleon scattering using the recent precision measurements of negatively charged pion-proton and pion-deuteron scattering lengths from pionic atoms. We deduce the…

High Energy Physics - Phenomenology · Physics 2010-02-17 T. E. O. Ericson , B. Loiseau , A. W. Thomas

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

In this updated and expanded version of our delayed Comment we show that the np backward cross section, as presented by the Uppsala group, is seriously flawed (more than 25 sd.). The main reason is the incorrect normalization of the data.…

Nuclear Theory · Physics 2009-10-31 M. C. M. Rentmeester , R. A. M. Klomp , J. J. de Swart

The latest $\pi N$ elastic scattering data are re-analysed to determine the coupling constant $g_c$ of the charged pion, using the dispersion relation for the invariant amplitude $B^{(+)}$. Depending on the choice of data-base, values…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. V. Bugg , M. D. Scadron

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

We describe a double-scattering experiment with a novel tagged neutron beam to measure differential cross sections for np back-scattering to better than 2% absolute precision. The measurement focuses on angles and energies where the cross…

A review is given of the various determinations of the different piNN coupling constants in analyses of the low-energy pp, np, pbarp, and pi-p scattering data. The most accurate determinations are in the energy-dependent partial-wave…

Nuclear Theory · Physics 2011-04-15 J. J. de Swart , M. C. M. Rentmeester , R. G. E. Timmermans

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

The simple model describing charge independence and charge symmetry breaking of the pion-nucleon coupling constant is proposed. The model, which has simple physical meaning and foundation, suggests directly proportional dependence of the…

High Energy Physics - Phenomenology · Physics 2019-08-28 V. A. Babenko , N. M. Petrov

Differential cross sections of elastic neutron-proton scattering have been measured for the energy range from 200 MeV to 580 MeV. The angular interval for the detection of the recoiling proton ranges up to 48 degree in the laboratory…

High Energy Physics - Phenomenology · Physics 2019-08-17 J. Franz , E. Rossle , H. Schmitt , L. Schmitt

We use QCD sum rules for the three point function of a pseudoscalar and two nucleonic currents in order to estimate the charge dependence of the pion nucleon coupling constant coming from isospin violation in the strong interaction. The…

Nuclear Theory · Physics 2009-10-30 T. Meissner , E. M. Henley

We summarize results obtained in our studies of the pion-nucleon coupling constant. Several different techniques have been applied to pi-N and NN elastic scattering data, and the existing database for single-pion photoproduction. The most…

Nuclear Theory · Physics 2014-11-18 R. A. Arndt , I. I. Strakovsky , R. L. Workman , M. M. Pavan
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