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The procedure of extracting the ground-state parameters from vacuum-to-vacuum and vacuum-to-hadron correlators within the method of sum rules is considered. The emphasis is laid on the crucial ingredient of this method - the effective…

High Energy Physics - Phenomenology · Physics 2014-11-20 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

In traditional QCD sum rules, the simple hadron spectral density model of ``delta-function-type ground state + theta-function-type continuous spectrum" determines that there is no perfect parameter selection. In recent years, inverse…

High Energy Physics - Phenomenology · Physics 2024-07-16 Zhen-Xing Zhao , Yi-Peng Xing , Run-Hui Li

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…

High Energy Physics - Phenomenology · Physics 2016-01-26 Dmitri Melikhov

It is proved, that suggested by Jin modified formalism in the external-field method in QCD sum rules exactly coincides with the formalism used before. Therefore, unlike the claims of ref.1, this formalism cannot improve the predictability…

High Energy Physics - Phenomenology · Physics 2016-09-06 B. L. Ioffe

Puzzled or surprised by the almost incredible accuracy occasionally claimed in the literature to be achievable for numerical outcomes of QCD sum-rule analyses, we scrutinized the usual procedure employed for the extraction of the parameters…

High Energy Physics - Phenomenology · Physics 2009-06-25 Wolfgang Lucha , D. Melikhov , S. Simula

We compare the extraction of the ground-state decay constant from the two-point correlator in QCD and in potential models and show that the results obtained at each step of the extraction procedure follow a very similar pattern. We prove…

High Energy Physics - Phenomenology · Physics 2010-03-17 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We study the accuracy of the bound-state parameters obtained with the method of dispersive sum rules, one of the most popular theoretical approaches in nonperturbative QCD and hadron physics. We make use of a quantum-mechanical potential…

High Energy Physics - Phenomenology · Physics 2010-04-28 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

The calculation method of the hadron interaction vertex with constant external fields in QCD sum rules is discussed. The representation of the polarization operator in terms of physical states contributions is considered and the most…

High Energy Physics - Phenomenology · Physics 2009-09-25 B. L. Ioffe

The background-field formalism is used extensively in fundamental approaches to QCD to explore hadronic matrix elements of various currents. While the lattice QCD approach is formulated in the fully-interacting Hilbert space, which includes…

High Energy Physics - Phenomenology · Physics 2010-11-19 Matthias Burkardt , Derek B. Leinweber , Xuemin Jin

Interpolating fields, used to excite hadrons from the QCD vacuum in nonperturbative field-theoretic investigations of hadron properties, are explored with an emphasis on unconventional nucleon interpolators. The QCD continuum model for…

Nuclear Theory · Physics 2009-10-28 Derek B. Leinweber

In these lectures, I describe the techniques used within the QCD sum rule approach. The basic concepts of the approach are introduced using a simple model of quantum-mechanical oscillator in 2+1 dimensions. Then I discuss their…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Radyushkin

The external-field QCD Sum Rules method is used to evaluate the coupling constant of the light isoscalar-scalar meson (``$\sigma$'' or \epsilon) to the nucleon. The contributions that come from the excited nucleon states and the response of…

Nuclear Theory · Physics 2008-11-26 G. Erkol , Th. A. Rijken , R. G. E. Timmermans

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…

High Energy Physics - Phenomenology · Physics 2015-03-19 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We discuss the extraction of ground-state parameters, such as decay constants and form factors, from two- and three-point dispersive sum rules, making use of a quantum-mechanical potential model. This model provides a unique possibility to…

High Energy Physics - Phenomenology · Physics 2009-06-25 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We present an extension of the QCD sum rule method in the external fields so as to determine the induced pseudoscalar coupling constant g_P, which tests the validity of the partially conserved axial current (PCAC) hypothesis. This is…

Nuclear Theory · Physics 2010-04-19 E. M. Henley , W-Y. P. Hwang , L. S. Kisslinger

Frequently, theoretical discussions of multiquark hadron states prove to be contaminated or even dominated by contributions of conventional hadrons. For the approach to QCD bound states in terms of QCD sum rules, we show how to get rid of…

High Energy Physics - Phenomenology · Physics 2020-01-08 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

We discuss the details of calculating hadron properties from the OPE for correlators of quark currents in QCD, which constitutes the basis of the method of QCD sum rules. The main emphasis is laid on gaining control over the systematic…

High Energy Physics - Phenomenology · Physics 2015-06-03 Dmitri Melikhov

Two new sets of QCD sum rules for the nucleon axial coupling constants are derived using the external-field technique and generalized interpolating fields. An in-depth study of the predicative ability of these sum rules is carried out using…

Nuclear Theory · Physics 2009-10-30 Frank X. Lee , Derek B. Leinweber , Xuemin Jin

This talk reviews the recent progress in the extraction of bound-state characteristics from the operator-product expansion (OPE) for field-theory correlators, which constitutes the basis of the method of QCD sum rules. This progress is…

High Energy Physics - Phenomenology · Physics 2012-02-22 Dmitri Melikhov
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