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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

The recent determination of the charged $\pi NN$ coupling constant, $g_{\pi^\pm}$, by the Uppsala Neutron Research Group implies that there may be considerable charge-splitting of the pion coupling constant. We investigate the consequences…

Nuclear Theory · Physics 2015-06-26 R. Machleidt , M. K. Banerjee

We critically evaluate the isovector GMO sumrule for the charged $\pi N N$ coupling constant using recent precision data from $\pi ^-$p and $\pi^-$d atoms and with careful attention to systematic errors. From the $\pi ^-$d scattering length…

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

High partial waves for $pp$ and $np$ elastic scattering are examined critically from 210 to 800 MeV. Non-OPE contributions are compared with predictions from theory. There are some discrepancies, but sufficient agreement that values of the…

Nuclear Theory · Physics 2009-09-25 D. V. Bugg , R. Machleidt

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

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

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 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

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

In this article, we calculate the strong coupling constant $g_{\Delta N\pi}$ and study the strong decay $\Delta^{++} \to p\pi$ with the light-cone QCD sum rules. The numerical value of the strong coupling constant $g_{\Delta N\pi}$ is…

High Energy Physics - Phenomenology · Physics 2008-12-18 Zhi-Gang Wang

An energy-dependent and set of single-energy partial-wave analyses of $NN$ elastic scattering data have been completed. The fit to 1.6~GeV has been supplemented with a low-energy analysis to 400 MeV. Using the low-energy fit, we study the…

Nuclear Theory · Physics 2010-04-06 Richard A. Arndt , Igor I. Strakovsky , Ron Workman

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

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

The understanding of few-nucleon systems at low energies is essential, e.g. for accurate predictions of element abundances in big-bang and stellar fusion. Novel effective field theories, taking only nucleons, or nucleons and pions as…

Nuclear Experiment · Physics 2009-11-10 B. van den Brandt , H. W. Griesshammer , P. Hautle , J. Kohlbrecher , J. A. Konter , O. Zimmer

We reexamine Chew's method for extracting the $\pi NN$ coupling constant from np differential cross section measurements. Values for this coupling are extracted below 350 MeV, in the potential model region, and up to 1 GeV. The analyses to…

Nuclear Theory · Physics 2008-11-26 R. A. Arndt , I. I. Strakovsky , R. L. Workman

An effective field theory is used to give a model-independent description of Compton scattering at energies comparable to the pion mass. The amplitudes for scattering on the proton and the deuteron, calculated to fourth order in small…

Nuclear Theory · Physics 2008-11-26 S. R. Beane , M. Malheiro , J. A. McGovern , D. R. Phillips , U. van Kolck

This work provides a brief history of determinations of the pion-nucleon ($\pi N$) coupling constant from $\pi N$ and $N N$ data. From robust analyses of twenty reported values of the charged-pion coupling constant, exhibiting sizeable…

Nuclear Theory · Physics 2019-04-18 Evangelos Matsinos

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

In a previous paper, some deviations were found in the O(p^6) low-energy constants that contribute to the pi pi-scattering lengths. This work completes the study of all the relevant couplings (r_1, ... r_6, r_S2). We also perform a…

High Energy Physics - Phenomenology · Physics 2009-04-28 Z. H. Guo , J. J. Sanz-Cillero

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
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