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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

The total cross section for the pp --> pp $\pi^0$ reaction at energies close to threshold is calculated within the frame of a chiral perturbation theory. The tree and one loop diagrams up to chiral order D=2 contributions are taken into…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Gedalin , A. Moalem. L. Razdolskaya

We explore the link between the chiral symmetry of QCD and the numerical results of the light-front quark model, analyzing both the two-point and three-point functions of the pion. Including the axial-vector coupling as well as the…

High Energy Physics - Phenomenology · Physics 2020-08-12 Ho-Meoyng Choi , Chueng-Ryong Ji

We present a relativistic procedure for the chiral expansion of the two-pion exchange component of the $NN$ potential, which emphasizes the role of intermediate $\pi N$ subamplitudes. The relationship between power counting in $\pi N$ and…

Nuclear Theory · Physics 2014-11-18 R. Higa , M. R. Robilotta

We calculate in (two-loop) chiral perturbation theory the local NN-potentials generated by the three-pion exchange diagrams with one insertion from the second order chiral effective pion-nucleon Lagrangian proportional to the low-energy…

Nuclear Theory · Physics 2009-11-07 Norbert Kaiser

We apply the chiral color dielectric model to low- and medium-energy scattering within the coupled $\pi$N and $\pi\Delta$ system. Dynamic baryon states in which quarks are confined by the scalar color-dielectric field are constructed in…

Nuclear Theory · Physics 2009-09-25 Dinghui Lu , Shashikant C. Phatak , Rubin H. Landau

We extend an effective Lagrangian embodying broken scale and chiral symmetry to include explicit chiral symmetry breaking and an additional chiral invariant term which allows for an axial coupling constant greater than unity. We also…

Nuclear Theory · Physics 2009-10-28 G. Carter , P. J. Ellis , S. Rudaz

The Fubini-Furlan-Rossetti sum rule for pion photoproduction on the nucleon is evaluated by dispersion relations at constant t, and the corrections to the sum rule due to the finite pion mass are calculated. Near threshold these corrections…

Nuclear Theory · Physics 2009-11-10 B. Pasquini , D. Drechsel , L. Tiator

In response to Kim's comment (nucl-th/9903040) on the sum rules for pion-baryon coupling constants obtained in hep-ph/9512259 and hep-ph/9606471, we point out that our treatment of the continuum is consistent with duality and with the fact…

Nuclear Theory · Physics 2009-10-31 Boris Krippa , Michael C. Birse

The reaction $NN \to NN \pi$ offers a good testing ground for chiral effective field theory at intermediate energies. It challenges our understanding of the first inelastic channel in nucleon-nucleon scattering and of the charge-symmetry…

Nuclear Theory · Physics 2016-06-22 V. Baru , E. Epelbaum , A. A. Filin , C. Hanhart , H. Krebs , F. Myhrer

We compute pion-nucleon scattering at tree-level within a gauged linear sigma model which contains the nucleon and its chiral partner. Such an investigation in principle allows to make definite predictions as to whether the main…

Nuclear Theory · Physics 2010-11-26 Susanna Wilms , Francesco Giacosa , Dirk H. Rischke

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

New relations between QCD Borel sum rules for strong coupling constants of K-mesons to baryons are derived. It is shown that starting from the sum rule for the coupling constants $g_{\pi\Sigma\Sigma}$ and $g_{\pi\Sigma\Lambda}$ it is…

High Energy Physics - Phenomenology · Physics 2009-11-11 T. Aliev , A. Ozpineci , S. B. Yakovlev , V. S. Zamiralov

Production of p-wave pions in nucleon-nucleon collisions is studied according to an improved power counting that embodies the constraints of chiral symmetry. Contributions from the first two non-vanishing orders are calculated. We find…

Nuclear Theory · Physics 2008-11-26 C. Hanhart , U. van Kolck , G. A. Miller

We present a dispersive method which allows to investigate the low-energy couplings of chiral perturbation theory at the next-to-leading order (NLO) in the 1/N(C) expansion, keeping full control of their renormalization scale dependence.…

High Energy Physics - Phenomenology · Physics 2010-10-27 I. Rosell , J. J. Sanz-Cillero , A. Pich

We employ the chiral nucleon-nucleon potential derived in ref.[1] to study bound and scattering states in the two-nucleon system. At next-to-leading order, this potential is the sum of renormalized one-pion and two-pion exchange and contact…

Nuclear Theory · Physics 2011-05-05 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

Nuclear potentials are known to exhibit a considerable degree of scheme dependence. For one- and two-pion exchange nucleon-nucleon (NN) potentials, unitary ambiguities start showing up at the level of the leading relativistic corrections to…

Nuclear Theory · Physics 2025-05-06 Victor Springer , Hermann Krebs , Evgeny Epelbaum

We improve our previous QCD sum rule calculation on G(KN\Lambda) and G(KN\Sigma) coupling constants by including the contributions from higher dimensional condensates, <\bar{q} g_s \sigma \cdot G q> and <\bar{q}q> <(\alpha_s /\pi) G^2>, in…

Nuclear Theory · Physics 2009-11-06 Seungho Choe

Large momentum transfer reactions such as pion production represent the frontier of Chiral Perturbation Theory and must be understood before more complex reactions can be considered. Pion production is also interesting in its own right, one…

Nuclear Theory · Physics 2011-08-08 Daniel R. Bolton

We show that it makes sense to coarse grain hadronic interactions such as $\pi\pi$ and $\pi N$ reactions following previous work on NN scattering. Moreover, if the interaction is taken to be given by chiral dynamics at long distances above…

High Energy Physics - Phenomenology · Physics 2019-06-27 Enrique Ruiz Arriola , Jacobo Ruiz de Elvira
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