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Related papers: Isospin Breaking in the Pion-Nucleon Coupling from…

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We have calculated coupling constants of a neutral pion with the lowest two nucleon resonances. This includes both the diagonal as well as non-diagonal coupling constants involving a nucleon resonance and a nucleon. For this, we first…

High Energy Physics - Phenomenology · Physics 2022-07-01 Janardan Prasad Singh

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 evaluate the pi-N-N, pi-Sigma-Sigma and pi-Sigma-Lambda coupling constants using QCD sum rules based on pion-to-vacuum matrix elements of correlators of two interpolating baryon fields. The parts of the correlators with Dirac structure…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael C. Birse , Boris Krippa

We calculate the direct $CP$ violation for the decay process of ${B}^{0}\rightarrow \pi^{0}\pi^{0}$, ${B}^{+}\rightarrow \pi^{0}\pi^{+}$, ${B}^{0}\rightarrow K^{0}\pi^{0}$ and ${B}^{+}\rightarrow K^{+}\pi^{0}$ via isospin symmetry breaking…

High Energy Physics - Phenomenology · Physics 2020-07-22 Gang Lü , Liang-chen Liu , Qin-Qin Zhi

It is demonstrated that there is a dynamic isospin breaking effect in the near threshold $\gamma^{*} N\to \pi N$ reaction due to the mass difference of the up and down quarks, which also causes isospin breaking in the $\pi N$ system. The…

High Energy Physics - Phenomenology · Physics 2011-02-01 A. M. Bernstein

We present results on the pseudoscalar meson masses from a fully dynamical simulation of QCD+QED. We concentrate particularly on violations of isospin symmetry. We calculate the $\pi^+$-$\pi^0$ splitting and also look at other isospin…

High Energy Physics - Lattice · Physics 2016-05-04 R. Horsley , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , R. Stokes , H. Stüben , R. D. Young , J. M. Zanotti

We present a precise lattice QCD calculation of the contribution to the neutron-proton mass splitting arising from strong isospin breaking, $m_n-m_p|_{QCD}=2.32\pm0.17$ MeV. We also determine $m_{\Xi^-} - m_{\Xi^0}|_{QCD} = 5.44\pm0.31$…

We calculate at two-loop order in chiral perturbation theory the electromagnetic corrections to the dominant two-pion exchange nucleon-nucleon interaction that is generated by the isoscalar $\pi N$ contact-vertex proportional to the large…

Nuclear Theory · Physics 2008-11-26 N. Kaiser

We estimate strong coupling constant between the negative parity nucleons with $\pi$ meson within the light cone QCD sum rules. A method for eliminating the unwanted contributions coming from the nucleon--nucleon and nucleon--negative…

High Energy Physics - Phenomenology · Physics 2017-04-05 T. M. Aliev , T. Barakat , M. Savcı

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

The contribution of axial anomaly to charge symmetry breaking in pion-nucleon coupling constants is calculated within instanton model for QCD vacuum. It has been demonstrated that the contribution is large and allows to explain…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. I. Kochelev

We compute the strong coupling constant $g_{P^* P \pi}$, with $P$ and $P^*$ respectively pseudoscalar and vector heavy mesons by using the QCD sum rules approach. Our computation is based on the evaluation of the time ordered product of…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. Colangelo , A. Deandrea , N. Di Bartolomeo , F. Feruglio , R. Gatto , G. Nardulli

We analyze isospin breaking through quark mass differences and virtual photons in the pion-nucleon scattering lengths in all physical channels in the framework of covariant baryon chiral perturbation theory. The so-called triangle relation…

High Energy Physics - Phenomenology · Physics 2014-11-20 Martin Hoferichter , Bastian Kubis , Ulf-G. Meißner

We revisit the QCD sum-rule treatment of the isospin-breaking axial correlator in light of the recent claim that a previous treatment produced results incompatible with known chiral constraints. The source of the error in the previous…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kim Maltman , Michael C. Birse

We determine the strong-isospin violating component of the neutron-proton mass difference from fully-dynamical lattice QCD and partially-quenched QCD calculations of the nucleon mass, constrained by partially-quenched chiral perturbation…

High Energy Physics - Lattice · Physics 2008-11-26 Silas R. Beane , Kostas Orginos , Martin J. Savage

We discuss the electromagnetic corrections to the pion-nucleon scattering lengths generated by minimal e. m. coupling from a knowledge of the low energy expansion of the pion-nucleon elastic scattering amplitude as well as from the nucleon…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. E. O. Ericson

We propose a new approach to construct QCD sum rules for the pi NN coupling constant, g, starting from the vacuum-to-pion correlation function of the interpolating fields of two nucleons and taking its matrix element with respect to nucleon…

Nuclear Theory · Physics 2009-11-07 Yoshihiko Kondo , Osamu Morimatsu

We consider pion-nucleon scattering in heavy-baryon chiral perturbation theory to third order. All electromagnetic corrections appearing to this order are included. We thus have a consistent description of strong and electromagnetic…

High Energy Physics - Phenomenology · Physics 2009-11-07 Nadia Fettes , Ulf-G. Meißner

The QCD sum rule calculation of the in-medium pion decay constants using pseudoscalar-axial vector correlation function, $i \int d^4x e^{ip\cdot x} < \rho| T[{\bar d}(x) i \gamma_5 u (x) {\bar u}(0) \gamma_\mu \gamma_5 d (0)] | \rho>$ is…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hungchong Kim , Makoto Oka

We calculate at two-loop order in chiral perturbation theory the electromagnetic corrections to the two-pion exchange nucleon-nucleon interaction that is generated by the isovector spin-flip $\pi\pi NN$ contact-vertex proportional to the…

Nuclear Theory · Physics 2009-11-11 N. Kaiser