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Related papers: QCD Sum Rules For Pion Wave Function Revisited

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We investigate a model QCD sum rule for the pion wave function $\varphi_{\pi}(x)$ based on the non-diagonal correlator whose perturbative spectral density vanishes and $\Phi(x,M^2)$, the theoretical side of the sum rule, consists of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Anatoly Radyushkin

In a recent paper [1] we have proposed a new approach for extracting the wave function of the $\pi$-meson $\varphi_{\pi}(x)$ and the masses and wave functions of its first resonances from the new QCD sum rules for non-diagonal correlators…

High Energy Physics - Phenomenology · Physics 2016-09-01 A. P. Bakulev , S. V. Mikhailov

We present results of a calculation of the electromagnetic pion form factor within the framework of QCD Sum Rules with nonlocal condensates, using a perturbative spectral density which includes $O(\alpha_s)$ contributions.

High Energy Physics - Phenomenology · Physics 2014-11-18 Alexander P. Bakulev , A. V. Pimikov , N. G. Stefanis

Global fits to the shape of the first QCD Laplace sum rule exhibiting sensitivity to pion-resonance [$\Pi (1300)$] parameters are performed, leading to predictions for the pion-resonance mass and decay constant. Two scenarios are considered…

High Energy Physics - Phenomenology · Physics 2009-10-30 T. G. Steele , J. C. Breckenridge , M. Benmerrouche , V. Elias , A. H. Fariborz

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 analyze QCD and Weinberg-type sum rules in a low-temperature pion gas using vector and axial-vector spectral functions following from the model-independent chiral-mixing scheme. Toward this end we employ recently constructed vacuum…

High Energy Physics - Phenomenology · Physics 2013-05-02 Nathan P. M. Holt , Paul M. Hohler , Ralf Rapp

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

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…

Nuclear Theory · Physics 2009-10-31 Hungchong Kim , Su Houng Lee , Makoto Oka

We discuss the pion form factor calculation in QCD.We shortly consider the main points of the nonlocal condensate QCD sum rule approach and show its results for the pion form factor, $F_\pi(Q^2)$. These results are compared with predictions…

High Energy Physics - Phenomenology · Physics 2015-05-20 Alexander P. Bakulev

The light cone QCD sum rules are derived for the $\pi NN$ coupling $g_{\pi NN}$ and $\pi NN(1535)$ coupling $g_{\pi NN^\ast}$. The contribution from the excited states and continuum is subtracted cleanly through double Borel transformation.…

Nuclear Theory · Physics 2008-11-26 Shi-Lin Zhu , W. -Y. P. Hwang , Yuan-Ben Dai

We present results of a calculation of the electromagnetic pion form factor within a framework of QCD Sum Rules with nonlocal condensates and using a perturbative spectral density which includes \mathcal{O}(\alpha_s) contributions.

High Energy Physics - Phenomenology · Physics 2014-11-18 A. P. Bakulev , A. V. Pimikov , N. G. Stefanis

We apply the nonlocal condensate formalism to construct generalized sum rules (including $O(\as)$-radiative corrections) for $\pi$-, $\rho$- and $\rho'$-meson wave functions of twist 2. Besides, we predict the lepton decay constant…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. P. Bakulev , S. V. Mikhailov

A global fit to the shape of the first QCD Laplace sum rule exhibiting sensitivity to pion-resonance [$\Pi (1300)$] parameters is performed, leading to predictions for the pion-resonance mass and decay constant. This fit leads to…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. G. Steele , J. C. Breckenridge , M. Benmerrouche , V. Elias , A. H. Fariborz

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…

Nuclear Theory · Physics 2007-05-23 Hungchong Kim

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…

Nuclear Theory · Physics 2008-11-26 Thomas Meissner

The partial restoration of chiral symmetry in nuclear medium is investigated in a model independent way by exploiting operator relations in QCD. An exact sum rule is derived for the quark condensate valid for all density. This sum rule is…

Nuclear Theory · Physics 2008-12-18 D. Jido , T. Hatsuda , T. Kunihiro

A method for calculating the pion structure function directly in terms of light-cone wave functions is suggested. Taking twist-2 and twist-4 pion light-cone wave functions into account, it is shown that the QCD sum rule prediction is in…

High Energy Physics - Phenomenology · Physics 2016-08-24 V. M. Belyaev , Mikkel B. Johnson

We present an analysis of QCD sum rules for pion form factor in next-to-leading order of perturbation theory for the case of pseudoscalar pion currents. The essential instanton contribution is reanalysed with account for present more…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. V. Braguta , A. I. Onishchenko

We discuss the QCD sum-rule approach for the spacelike electromagnetic pion form factor in the $O(\alpha_s)$ approximation. We show that the nonlocality of the condensates is a key point to include nonperturbative contributions to the pion…

High Energy Physics - Phenomenology · Physics 2010-02-18 Alexander P. Bakulev , A. V. Pimikov , N. G. Stefanis

We reinvestigate the QCD sum rule for the pi NN coupling constant, g, starting from the vacuum-to-pion matrix element of the correlation function of the interpolating fields of two nucleons. We study in detail the physical content of the…

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