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We present a light-front determination of the pionic contribution to the nucleon self-energy, $\Sigma_\pi$, to second-order in pion-baryon coupling constants that allows the pion-nucleon vertex function to be treated in a model-independent…

Nuclear Theory · Physics 2013-05-30 Mary Alberg , Gerald A. Miller

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

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 study the parity-violating pion-nucleon coupling $G_\pi$ in the framework of a realistic three flavor Skryme model. We find a sizeable enhancement of $G_\pi \simeq 0.8 ... 1.3 \cdot 10^{-7}$ compared to previous calculations in…

Nuclear Theory · Physics 2009-10-31 Ulf-G. Meißner , Herbert Weigel

The Adler-Weisberger sum rule for the nucleon axial-vector charge, $g_A$, offers a unique signature of chiral symmetry and its breaking in QCD. Its derivation relies on both algebraic aspects of chiral symmetry, which guarantee the…

High Energy Physics - Phenomenology · Physics 2016-12-14 Silas R. Beane , Natalie Klco

Coupling constants of the pseudoscalar mesons to the octet baryons are computed in the QCD sum rule approach. The pi-NN, eta-NN, pi-XiXi, eta-XiXi, pi-SigmaSigma, eta-SigmaSigma as well as pi-Lambda-Sigma couplings are studied. Determining…

High Energy Physics - Phenomenology · Physics 2009-11-07 Takumi Doi , Hungchong Kim , Yoshihiko Kondo , Makoto Oka

We revisit the analysis of the improved ladder Schwinger-Dyson (SD) equation for the dynamical chiral symmetry breaking in QCD with emphasizing the importance of the scale ambiguity. Previous calculation done so far naively used one-loop…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michio Hashimoto , Masaharu Tanabashi

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

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

If a baryon field belongs to a certain linear representation of chiral symmetry of $SU(2) \otimes SU(2)$, the axial coupling constant $g_{A}$ can be determined algebraically from the commutation relations derived from the superconvergence…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. Hosaka , D. Jido , M. Oka

We calculate the hadronic coupling constants $g_{NN\pi}$ and $g_{\rho\pi\pi}$ in QCD, including dynamical quarks in the framework of staggered fermions in the lattice approach. For the nucleon--pion coupling we obtain $g_{NN\pi} = 13.8 \pm…

High Energy Physics - Lattice · Physics 2009-10-28 R. L. Altmeyer , M. Gockeler , R. Horsley , E. Laermann , G. Schierholz , P. M. Zerwas

We derive QCD sum rules from the nucleon two-point function in nuclear medium, calculating its specral function in chiral perturbation theory to one loop. Our calculation shows the inadequacy of the commonly used ansatz to represent the…

Nuclear Theory · Physics 2007-05-23 S. Mallik , Hiranmaya Mishra

In the presence of a momentum cutoff, effective theories seem unable to faithfully reproduce the so called chiral anomaly in the Standard Model. A novel prospect to overcome this related issue is discussed herein via the calculation of the…

High Energy Physics - Phenomenology · Physics 2023-06-08 Hao Dang , Zanbin Xing , M. Atif Sultan , Khépani Raya , Lei Chang

We present a determination of the pion-nucleon sigma-term based on a novel analysis of the $\pi N$ scattering amplitude in Lorentz covariant baryon chiral perturbation theory renormalized in the extended-on-mass-shell scheme. This…

High Energy Physics - Phenomenology · Physics 2015-06-03 J. Martin Camalich , J. M. Alarcon , J. A. Oller

The difference between the charged and neutral pion masses can be predicted from a well-known dispersion relation involving an infinite-energy integral over experimental data, the pion sum rule. This relation, however, holds only in the…

High Energy Physics - Phenomenology · Physics 2026-02-06 Johan Bijnens , Nils Hermansson-Truedsson , Antonio Rodríguez-Sánchez

The coupling constants g_{\pi \Lambda \Sigma} and g_{K \Sigma \Xi} are calculated in the QCD sum rule approach using the three-point function method and taking into account the SU(3) symmetry breaking effects. The pattern of SU(3) breaking…

Nuclear Theory · Physics 2008-11-26 Seungho Choe

The QCD sum rule approach is employed in order to study chiral properties of positive- and negative-parity nucleon resonances. It is pointed out that nucleons with an ``exotic'' chiral property, which can be represented by local five-quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Nakamura , P. Gubler , M. Oka

A measurement of parity-violating spin-dependent gamma proton Compton scattering will provide a theoretically clean determination of the parity-violating pion-nucleon coupling constant $h_{\pi NN}^{(1)}$. We calculate the leading…

Nuclear Theory · Physics 2009-10-31 Paulo F. Bedaque , Martin J. Savage

The neutron-neutron scattering length a_nn provides a sensitive probe of charge-symmetry breaking in the strong interaction. Here we summarize our recent efforts to use chiral perturbation theory in order to systematically relate a_nn to…

Nuclear Theory · Physics 2009-04-17 A. Gardestig , D. R. Phillips

The quark condensate in nuclear matter contains a term of order $\rho m_\pi$, arising from the contribution of low-momentum virtual pions to the $\pi N$ sigma commutator. Standard treatments of QCD sum rules for a nucleon in matter generate…

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