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Related papers: The Pion-Nucleon Form Factor From QCD Sum Rules

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The light cone QCD sum rules are employed to calculate the $\pi N N(1535)$ coupling $g_{\pi N N^\ast}$. We study the two point correlation function of two nucleon currents sandwiched between the vacuum and the pion state. The contribution…

High Energy Physics - Phenomenology · Physics 2014-11-17 Shi-Lin Zhu

We calculate the nucleon parameters in nuclear matter using the QCD sum rules method. The radiative corrections to the leading operator product expansion terms are included, with the corrections of the order \alpha_s beyond the logarithmic…

Nuclear Theory · Physics 2009-10-29 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova

The external-field QCD Sum Rules method is used to evaluate the coupling constant of the light isoscalar-scalar meson (``$\sigma$'' or \epsilon) to the nucleon. The contributions that come from the excited nucleon states and the response of…

Nuclear Theory · Physics 2008-11-26 G. Erkol , Th. A. Rijken , R. G. E. Timmermans

We extend the QCD sum rule analysis of the \gamma^*\gamma^* -->\pi^o form factor into the region where one of the photons has small virtuality: q^2 << Q^2 > 1 GeV^2. In this kinematics, one should perform an additional factorization of…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. V. Radyushkin , R. Ruskov

In this article, we firstly analyze the mass and pole residue of negative parity nucleon $N^*(1535)$ within the two-point QCD sum rules. Basing on these results, we continuously study the strong coupling constants of vertices…

High Energy Physics - Phenomenology · Physics 2025-09-26 Jie Lu , Dian-Yong Chen , Guo-Liang Yu , Zhi-Gang Wang , Ze Zhou

We calculate the nucleon parameters in nuclear matter using the QCD sum rules approach in Fermi gas approximation. Terms up to 1/q^2 in the operator product expansion (OPE) are taken into account. The higher moments of the nucleon structure…

Nuclear Theory · Physics 2009-11-10 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova , Th. Gutsche , Amand Faessler

We present a detailed investigation of the spacelike pion's electromagnetic form factor using three-point QCD sum rules that exclusively involve nonlocal condensates. Our main methodological tools are a spectral density which includes…

High Energy Physics - Phenomenology · Physics 2009-06-25 A. P. Bakulev , A. V. Pimikov , N. G. Stefanis

We explore a modification of QCD sum rules where, instead of Borel transforms of current correlators, one considers the correlators in coordinate space as functions of Euclidean time. Taking the nucleon channel as an example, we derive such…

High Energy Physics - Phenomenology · Physics 2026-05-06 A. V. Smilga

A Finite Energy QCD sum rule at non-zero temperature is used to determine the $q^2$- and the T-dependence of the $\rho \pi \pi$ vertex function in the space-like region. A comparison with an independent QCD determination of the…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. A. Dominguez , M. S. Fetea , M. Loewe

We extend QCD sum rule analysis to moderate energy fixed angle Compton scattering. In this kinematic region there is a strong similarity to the sum rule treatment of electromagnetic form factors, although the four-point amplitude requires a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Claudio Coriano' , Anatoly Radyushkin , George Sterman

New QCD sum rules for the nucleon axial-vector current coupling constants are derived. One set is derived from a generalized correlator of spin-1/2 interpolating fields, and the other with a mixed correlator of spin-1/2 and spin-3/2 fields.…

Nuclear Theory · Physics 2007-05-23 Frank X. Lee , Derek B. Leinweber , Xuemin Jin

In these lectures, I describe the techniques used within the QCD sum rule approach. The basic concepts of the approach are introduced using a simple model of quantum-mechanical oscillator in 2+1 dimensions. Then I discuss their…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Radyushkin

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

The method of light-cone QCD sum rules is applied to the calculation of the form factors of $\gamma^*\rho \to \pi$ and $\gamma^*\gamma \to \pi^0$ transitions. We consider the dispersion relation for the $\gamma^*(Q^2)\gamma^*(q^2) \to…

High Energy Physics - Phenomenology · Physics 2011-09-13 Alexander Khodjamirian

We calculate the coupling constants, $g_{\pi NS_{11}}$ and $g_{\eta NS_{11}}, using QCD sum rules in the presence of an external meson field. A covariant derivative is introduced within the S_{11} interpolating field so that in the…

Nuclear Theory · Physics 2009-10-30 Hungchong Kim , Su Houng Lee

We analyze the singlet axial form factor of the proton for small momentum transferred in the framework of QCD sum rules using the interpolating nucleon current which explicitly accounts for the gluonic degrees of freedom. As a result we…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. V. Belitsky , O. V. Teryaev

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 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

A new QCD calculation of the mass of the nucleon is presented. It makes use of a polynomial kernel in the dispersion integrals tailored to practically eliminate the contribution of the unknown 1/2+ and 1/2- continuum. This approach avoids…

High Energy Physics - Phenomenology · Physics 2010-11-03 N. F. Nasrallah , K. Schilcher

Two new sets of QCD sum rules for the nucleon axial coupling constants are derived using the external-field technique and generalized interpolating fields. An in-depth study of the predicative ability of these sum rules is carried out using…

Nuclear Theory · Physics 2009-10-30 Frank X. Lee , Derek B. Leinweber , Xuemin Jin