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A visible improvement of the QCD sum-rule framework, achieved only recently by a slightly more sophisticated consideration of the hadron excitations and continuum, is applied to the extraction of the decay constants of heavy-light…

High Energy Physics - Phenomenology · Physics 2012-06-05 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

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…

High Energy Physics - Phenomenology · Physics 2014-10-07 Stephan Narison

The last five years have brought considerable progress in the study of the bound-state problem in continuum quantum field theory. We highlight a subset of that progress; viz., that made within the context of Dyson Schwinger equation…

Nuclear Theory · Physics 2015-06-17 Ian C. Cloet , Craig D. Roberts

QCD sum rules are useful tools for studying the spectral properties of hadrons; however, assumptions underlying standard sum-rule analyses can lead to inconsistencies with known results of chiral perturbation theory. This possibility is…

High Energy Physics - Phenomenology · Physics 2009-10-28 David K. Griegel , Thomas D. Cohen

We analyse the extraction of the bound-state form factor from vacuum-to-hadron correlator, which is the basic object for the calculation of hadron form factors in the method of light-cone sum rules in QCD. We study this correlator in…

High Energy Physics - Phenomenology · Physics 2010-04-21 Dmitri Melikhov

Truncated sum rules have been used to calculate the fundamental limits of the nonlinear susceptibilities; and, the results have been consistent with all measured molecules. However, given that finite-state models result in inconsistencies…

Optics · Physics 2016-09-08 Mark G. Kuzyk

This talk presents the results of our study of systematic errors of the ground-state parameters obtained by Shifman-Vainshtein-Zakharov (SVZ) sum rules. We use the harmonic-oscillator potential model as an example: in this case we know the…

High Energy Physics - Phenomenology · Physics 2007-12-04 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Revisiting the QCD sum-rule description of exotic hadron states, we argue that, in order to arrive at trustable analyses of, for instance, strong decay widths of multiquarks, it is inevitable to adopt the QCD sum-rule approach beyond the…

High Energy Physics - Phenomenology · Physics 2017-03-27 Wolfgang Lucha , Dmitri Melikhov

We analyze the one-dimensional semi-classical Schr\"odinger equation on the half-line with a linear potential and Dirichlet boundary conditions. Our main focus is on establishing improved dispersive and Strichartz estimates for this model,…

Analysis of PDEs · Mathematics 2025-10-03 Oana Ivanovici

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…

High Energy Physics - Phenomenology · Physics 2009-10-30 Xuemin Jin , Jian Tang

In this paper we study QCD and power corrections to sum rules which show up in deep inelastic lepton-hadron scattering. Furthermore we will make a distinction between fundamental sum rules which can be derived from quantum field theory and…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Ravindran , W. L. van Neerven

We propose to increase the factual reliability of descriptions of exotic multiquark hadrons utilizing the approach to bound states of strongly interacting constituents known as QCD sum rules, by allowing exclusively all contributions that…

High Energy Physics - Phenomenology · Physics 2022-11-28 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

In the past years there has been a revival of hadron spectroscopy. Many interesting new hadron states were discovered experimentally, some of which do not fit easily into the quark model. This situation motivated a vigorous theoretical…

High Energy Physics - Phenomenology · Physics 2010-11-30 Marina Nielsen , Fernando S. Navarra , Su Houng Lee

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…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ian Hinchliffe , Axel Kwiatkowski

QCD sum rules are overviewed with an emphasize on the practical applications of this method to the physics of light and heavy hadrons.

High Energy Physics - Phenomenology · Physics 2017-08-23 Alexander Khodjamirian

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…

High Energy Physics - Phenomenology · Physics 2019-08-26 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

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…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Meyer-Hermann , A. Schäfer , W. Greiner

The compatibility of the QCD sum rules and effective hadronic models predictions are examined. For this purpose we have considered the results for the nucleon self-energy in a dense hadronic environment provided by two independent QCD…

Nuclear Theory · Physics 2009-11-10 R. Aguirre

The research presented here uses QCD sum rules (QSR) to study exotic hadrons. There are several themes in this work. First is the use of QSR to predict the masses of exotic hadrons that may exist among the heavy quarkonium-like states. The…

High Energy Physics - Phenomenology · Physics 2014-07-10 Robin Kleiv

We compare two widely used approaches to the description of hadron properties: QCD sum rules and constituent quark models. Making use of the dispersion formulation of the quark model, we show that both approaches lead to similar spectral…

High Energy Physics - Phenomenology · Physics 2009-11-10 Dmitri Melikhov , Silvano Simula