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The QCD sum-rule method has been widely used in studying various baryon properties. For a given problem, there are usually more than one sum rules and they do not work equally well. In this paper, we point out that chirality plays an…

高能物理 - 唯象学 · 物理学 2009-10-30 Xuemin Jin , Jian Tang

One of the advantages of the finite energy sum rules is the fact that every operator in the operator product expansion series can be selected individually by the use of an appropriate kernel function which removes other operator poles. This…

高能物理 - 唯象学 · 物理学 2020-09-01 Cristian Villavicencio , C. A. Dominguez , M. Loewe

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

If connecting properties of a multiquark hadron with those exhibited by its constituents, QCD sum rules inferred along the routes of traditional wisdom necessarily involve contributions not related at all to and thus not presenting…

高能物理 - 唯象学 · 物理学 2022-06-16 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

The consistency of effective models with QCD is investigated through the use of the QCD sum rule. Taking the potential model for the heavy quark system, we apply the method to two phenomenologically successful parameter sets, and obtain the…

高能物理 - 唯象学 · 物理学 2007-05-23 T. Matsuki , K. Yazaki

We illustrate the general scheme of the Sum Rule (SR) method using 2D Quantum Harmonic Oscillator (2DQHO) as a toy model. We introduce correlator, related to Green function of 2DQHO, and describe the property of Asymptotic Freedom for…

高能物理 - 唯象学 · 物理学 2008-11-26 Alexander P. Bakulev

With the experimental observation of several credible candidates for multiquark hadrons, the latter states re-entered the focus of interest of theoretical strong-interaction physics. Proper treatment of hadronic bound states by quantum…

高能物理 - 唯象学 · 物理学 2019-08-26 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

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

QCD sum rules are analyzed with the help of the Maximum Entropy Method. We develop a new technique based on the Bayesion inference theory, which allows us to directly obtain the spectral function of a given correlator from the results of…

高能物理 - 唯象学 · 物理学 2015-03-17 Philipp Gubler , Makoto Oka

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

Determining the hadron spectrum and hadron properties beyond the ground states is a challenge in lattice QCD. Most of these results have been in the quenched approximation but now we are entering the dynamical era. I review some of the…

核理论 · 物理学 2008-11-26 C. B. Lang

Quantum Chromodynamics (QCD) is a firmly established part of the Standard Model, yet its long distance properties remain challenging at a conceptual level. In recent years significant experimental and theoretical progress has been made…

高能物理 - 唯象学 · 物理学 2009-11-07 Paul Hoyer

We discuss the specific features of extracting properties of the exotic polyquark hadrons (tetraquarks, pentaquarks) compared to the usual hadrons by the QCD sum-rule approach. In the case of the ordinary hadrons, already the one-loop…

高能物理 - 唯象学 · 物理学 2016-12-06 Wolfgang Lucha , Dmitri Melikhov

This review article discusses the experimental and theoretical status of various Parton Model sum rules. The basis of the sum rules in perturbative QCD is discussed. Their use in extracting the value of the strong coupling constant is…

高能物理 - 唯象学 · 物理学 2009-10-28 Ian Hinchliffe , Axel Kwiatkowski

This document gives a detailed account of the terms used in the computation of the ground state mean field and the ground state correlations. While the general approach to this description is given in a separate paper (nucl-th/9802029) we…

核理论 · 物理学 2007-05-23 Jochen H. Heisenberg , Bogdan Mihaila

We develop a three-point formalism to treat vacuum susceptibilities used for the coupling of currents to hadrons within the method of QCD Sum Rules. By introducing nonlocal condensates, with the space-time structure taken from fits to…

高能物理 - 唯象学 · 物理学 2009-10-30 Mikkel B. Johnson , Leonard S. Kisslinger

We use the transfer matrix formalism to derive non-perturbative sum rules in Wilson's lattice QCD with N_f flavours of quarks. The discretization errors on these identities are treated in detail. As an application, it is shown how the sum…

高能物理 - 格点 · 物理学 2008-11-26 Harvey B. Meyer

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 prove that the ground state for the Dirac equation on Minkowski space in static, smooth external potentials satisfies the Hadamard condition. We show that it follows from a condition on the support of the Fourier transform of the…

数学物理 · 物理学 2015-05-30 Michał Wrochna

We study the possibility to control systematic errors of the ground-state parameters obtained by Shifman-Vainshtein-Zakharov (SVZ) sum rules, making use of the harmonic-oscillator potential model as an example. In this case, one knows the…

高能物理 - 唯象学 · 物理学 2008-11-26 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula