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Borel transformed QCD sum rules conventionally use a real valued parameter (the Borel mass) for specifying the exponential weight over which hadronic spectral functions are averaged. In this paper, it is shown that the Borel mass can be…

高能物理 - 唯象学 · 物理学 2014-07-09 Ken-Ji Araki , Keisuke Ohtani , Philipp Gubler , Makoto Oka

In QCD sum rules with external fields, the double dispersion relation is often used to represent the correlation function. In this work, we point out that the double spectral density, when it is determined by successive applications of the…

核理论 · 物理学 2009-10-31 Hungchong Kim

New relations between QCD Borel sum rules for masses of Sigma^0 and Lambda hyperons are constructed. It is shown that starting from the sum rule for the Sigma^0 hyperon mass it is straightforward to obtain the corresponding sum rule for the…

高能物理 - 唯象学 · 物理学 2009-11-10 A. Ozpineci S. B. Yakovlev V. S. Zamiralov

The $ND\Lambda_c$ coupling constant is evaluated in a full QCD sum rule calculation. We study the Borel sum rule for the three point function of one pseudoscalar one nucleon and one $\Lambda_c$ current up to order seven in the operator…

高能物理 - 唯象学 · 物理学 2009-10-31 F. S. Navarra , M. Nielsen

Dispersive sum rules constitute long-standing tools for extracting hadron features from QCD. We estimate the systematic uncertainties induced by assuming quark-hadron duality and improve the accuracy of the resulting predictions by…

高能物理 - 唯象学 · 物理学 2015-03-19 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

I use QCD sum rule ideas to construct models for generalized parton distributions. To this end, the perturbative parts of QCD sum rules for the pion and nucleon electromagnetic form factors are interpreted in terms of GPDs and two models…

高能物理 - 唯象学 · 物理学 2009-09-24 Anatoly Radyushkin

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…

高能物理 - 唯象学 · 物理学 2026-05-06 A. V. Smilga

An introduction to the method of QCD sum rules is given for those who want to learn how to use this method. Furthermore, we discuss various applications of sum rules, from the determination of quark masses to the calculation of hadronic…

高能物理 - 唯象学 · 物理学 2016-11-23 Pietro Colangelo , Alexander Khodjamirian

Slight sophistications of the QCD sum-rule formalism may have great impact on the reliability of predicted hadron observables, as exemplified for the case of heavy-meson decay constants.

高能物理 - 唯象学 · 物理学 2012-06-07 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

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

The standard procedure to determine (analytically) the values of the quark masses is to relate QCD two-point functions to experimental data in the framework of QCD sum rules. In the case of the light quark sector, the ideal Green function…

高能物理 - 唯象学 · 物理学 2010-11-23 C. A. Dominguez

The $H^*H\pi$ form factor for H = B and D mesons is evaluated in a QCD sum rule calculation. We study the Borel sum rule for the three point function of two pseudoscalar and one vector meson currents up to order four in the operator product…

高能物理 - 唯象学 · 物理学 2009-10-31 F. S. Navarra , M. Nielsen , M. E. Bracco , M. Chiapparini , C. L. Schat

The $J/\psi \pi\to \bar{D} D^*, \bar{D} D$, ${\bar D}^* D^*$ and ${\bar D} D^*$ cross sections as a function of $\sqrt{s}$ are evaluated in a QCD sum rule calculation. We study the Borel sum rule for the four point function involving…

核理论 · 物理学 2009-11-07 F. S. Navarra , M. Nielsen , R. S. Marques de Carvalho , G. Krein

Motivated by recent work on three-point QCD sum rules in heavy quark physics, we use the simple quantum mechanical models to study the basic issue of duality in three-point sum rules. We show that while in all of these models the duality in…

高能物理 - 唯象学 · 物理学 2014-11-17 B. Blok , M. Lublinsky

A new approach of the QCD sum rule is proposed in which positive and negative-parity baryons couple with each other. With positive and negative-parity states explicitly taken into account, sum rules are derived by means of the dispersion…

高能物理 - 唯象学 · 物理学 2009-11-11 Yoshihiko Kondo , Osamu Morimatsu , Tetsuo Nishikawa

We review the recent progress in the applications of QCD sum rules to hadron properties with the emphasis on the following selected problems: (i) development of new algorithms for the extraction of ground-state parameters from two-point…

高能物理 - 唯象学 · 物理学 2016-01-26 Dmitri Melikhov

Taking the example of the most popular and well-established Borel / Laplace / Exponential sum rule (LSR), I shortly review some of its recent applications in hadron physics namely the estimates of non-perturbative condensates, the…

高能物理 - 唯象学 · 物理学 2014-10-07 Stephan Narison

We use the method of double pole QCD sum rule which is basically a fit with two exponentials of the correlation function, where we can extract the masses and decay constants of mesons as a function of the Borel mass. We apply this method to…

高能物理 - 唯象学 · 物理学 2016-10-03 M. S. Maior de Sousa , R. Rodrigues da Silva

The concept of QCD sum rules is extended to bound states composed of particles with finite mass such as scalar quarks or strange quarks. It turns out that mass corrections become important in this context. The number of relevant corrections…

高能物理 - 唯象学 · 物理学 2015-06-25 M. Meyer-Hermann , A. Schäfer , W. Greiner

In this article, we assume that the nonet scalar mesons below $1\,\rm{ GeV}$ are the two-quark-tetraquark mixed states and study their masses and pole residues using the QCD sum rules. In calculation, we take into account the vacuum…

高能物理 - 唯象学 · 物理学 2016-08-02 Zhi-Gang Wang
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