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We evaluate the $\pi N$ coupling constant using a QCD sum rule based on the pion-to-vacuum matrix element of the correlator of two interpolating nucleon fields. The part of the correlator with Dirac structure $k\llap/\gamma_5$ is used,…

高能物理 - 唯象学 · 物理学 2009-10-28 Michael C. Birse , Boris Krippa

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…

核理论 · 物理学 2009-11-07 Yoshihiko Kondo , Osamu Morimatsu

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…

核理论 · 物理学 2007-05-23 S. Mallik , Hiranmaya Mishra

Within the conventional QCD sum rules, we calculate the $\pi NN$ coupling constant, $g_{\pi N}$, beyond the chiral limit using two-point correlation function with a pion. We consider the Dirac structure, $i\gamma_5$, at $m_\pi^2$ order,…

核理论 · 物理学 2015-06-26 Hungchong Kim

Using the vacuum-to-pion matrix element of the correlation function of the interpolating fields of the two nucleons, the isospin splitting in the diagonal pion-nucleon coupling constant has been studied in the framework of the conventional…

高能物理 - 唯象学 · 物理学 2011-08-23 J. P. Singh , Alka Upadhyay

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…

高能物理 - 唯象学 · 物理学 2008-11-26 Michael C. Birse , Boris Krippa

The pion-nucleon coupling constant $g_{\pi N}$ is studied on the basis of the QCD sum rules. Both the Borel sum rules and the finite energy sum rules for $g_{\pi N}$ are used to examine the effects of higher dimensional operators (up to…

高能物理 - 唯象学 · 物理学 2009-10-28 H. Shiomi , T. Hatsuda

In the conventional QCD sum rule calculation for the $\pi NN$ coupling beyond the soft-pion limit, there are three distinct Dirac structures, each of which can be used to construct separate sum rule. We point out subtleties in the previous…

核理论 · 物理学 2009-10-31 Hungchong Kim , Su Houng Lee , Makoto Oka

QCD sum rules are used to calculate the $q^2$ dependence of the $\pi NN$ coupling $g_{\pi NN} (q^2)$ in the spacelike region $0.5 \ {\mbox{GeV}}^2 \lesssim q^2 \lesssim 1.5\ {\mbox{GeV}}^2$. We study the Borel sum rule for the three point…

核理论 · 物理学 2008-11-26 Thomas Meissner

By matching the world of hadrons to that of some effective chiral quark theory, we determine the induced condensates for QCD sum rules in the presence of an external pion field. The observed values of the strong and weak $\pi NN$ coupling…

高能物理 - 唯象学 · 物理学 2014-11-17 W-Y. P. Hwang

Within the framework of the conventional QCD sum rules, we study the pion two-point correlation function, $i\int d^4x e^{iq\cdot x} < 0| T J_N(x) {\bar J}_N(0)|\pi(p)>$, beyond the soft-pion limit. We construct sum rules from the three…

核理论 · 物理学 2009-10-31 Hungchong Kim , Su Houng Lee , Makoto Oka

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.…

核理论 · 物理学 2007-05-23 Frank X. Lee , Derek B. Leinweber , Xuemin Jin

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 $g_{NN\pi}$ coming from isospin violation in the strong…

核理论 · 物理学 2008-11-26 T. Meissner , E. M. Henley

The short-time regime of QCD two-point correlation functions is examined through a QCD-Sum-Rule-inspired continuum model. QCD Sum Rule techniques are tested and alternate nucleon interpolating fields are discussed. The techniques presented…

高能物理 - 格点 · 物理学 2009-10-22 Derek B. Leinweber

We employ the light cone QCD sum rules to calculate $\Delta\pi N$ coupling constant by studying the two point correlation function between the vacuum and the pion state. Our result is consistent with the traditional QCD sum rules…

核理论 · 物理学 2008-11-26 A. Gokalp , O. Yilmaz

Standard QCD sum-rule analyses of the nucleon mass give results that are inconsistent with chiral perturbation theory due to an overly simple continuum ansatz on the phenomenological side of the sum rule. We show that a careful treatment of…

高能物理 - 唯象学 · 物理学 2009-10-28 Su Houng Lee , Seungho Choe , Thomas D. Cohen , David K. Griegel

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…

高能物理 - 唯象学 · 物理学 2022-07-01 Janardan Prasad Singh

We derive new QCD sum rules for the axial coupling constants by considering two-point correlation functions of the axial-vector currents in a one nucleon state. The QCD sum rules tell us that the axial coupling constants are expressed by…

高能物理 - 唯象学 · 物理学 2009-10-31 T. Nishikawa , S. Saito , Y. Kondo

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…

核理论 · 物理学 2009-10-30 Hungchong Kim , Su Houng Lee

We point out subtleties in the previous sum rule calculations of the $\pi NN$ coupling associated with using either the PV or the PS coupling schemes in modeling the phenomenological side. We propose a sum rule which is independent of the…

核理论 · 物理学 2007-05-23 Hungchong Kim
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