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In the past decade, due to the experimental observation of many charmonium-like states, there has been a revival of hadron spectroscopy. In particular, the experimental observation of charged charmonium-like, $Z_c$ states, and…

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

In this paper we visited mass spectra and decay constants of pseudoscalar and vector heavy-light mesons ($B$, $B_s$, $D$ and $D_S$) in the framework of QCD sum rule and quark model. The harmonic oscillator wave function was used in quark…

High Energy Physics - Phenomenology · Physics 2018-11-20 Halil Mutuk

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

In this paper we consider the possibility of application of the quantum inverse scattering method for studying the superconformal field theory and it's integrable perturbations. The classical limit of the considered constructions is based…

High Energy Physics - Theory · Physics 2021-09-28 Petr P. Kulish , Anton M. Zeitlin

Recent developments in the uses of QCD spectral sum rules (QSSR) for heavy flavours are summarized and updated. QSSR results are compared with the existing data and with the ones from alternative approaches.

High Energy Physics - Phenomenology · Physics 2014-11-17 Stephan Narison

In this article, we study the mass spectrum of the scalar and axial-vector heavy diquark states with the QCD sum rules in a systematic way. Once the reasonable values are obtained, we can take them as basic parameters and study the new…

High Energy Physics - Phenomenology · Physics 2011-02-09 Zhi-Gang Wang

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…

High Energy Physics - Phenomenology · Physics 2010-11-23 C. A. Dominguez

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

In QCD sum-rule methods, the fundamental field-theoretical quantities are correlation functions of composite operators that serve as hadronic interpolating fields. One of the challenges of loop corrections to QCD correlation functions in…

High Energy Physics - Phenomenology · Physics 2023-01-04 T. de Oliveira , D. Harnett , A. Palameta , T. G. Steele

We show that at certain values of QCD condensates the nucleon QCD sum rules with "pole+continuum" model for the hadron spectrum obtain an unphysical solution. This provides constrains for the values of condensates to be consistent with…

Nuclear Theory · Physics 2010-04-28 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova

The scalar and vector self-energies obtained through QCD sum rules are introduced in Quantum Hadrodynamics (QHD) equations. The results indicate that the ratios of coupling constants to respective meson mass have a very small dependence on…

Nuclear Theory · Physics 2007-05-23 L. A. Barreiro

An Inverse Scattering Method is developed for the Camassa-Holm equation. As an illustration of our approach the solutions corresponding to the reflectionless potentials are explicitly constructed in terms of the scattering data. The main…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Adrian Constantin , Vladimir S. Gerdjikov , Rossen I. Ivanov

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…

High Energy Physics - Phenomenology · Physics 2022-06-16 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

We construct a random matrix model that, in the large $N$ limit, reduces to the low energy limit of the QCD partition function put forward by Leutwyler and Smilga. This equivalence holds for an arbitrary number of flavors and any value of…

High Energy Physics - Theory · Physics 2016-09-06 E. V. Shuryak , J. J. M. Verbaarschot

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…

High Energy Physics - Phenomenology · Physics 2015-03-17 Philipp Gubler , Makoto Oka

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…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yoshihiko Kondo , Osamu Morimatsu , Tetsuo Nishikawa

Applications of QCD sum-rule methods to the physics of nuclei are reviewed, with an emphasis on calculations of baryon self-energies in infinite nuclear matter. The sum-rule approach relates spectral properties of hadrons propagating in the…

High Energy Physics - Phenomenology · Physics 2016-09-01 T. D. Cohen , R. J. Furnstahl , D. K. Griegel , Xuemin Jin

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

We investigate quarkonium mass spectra in external constant magnetic fields by using QCD sum rules. We first discuss a general framework of QCD sum rules necessary for properly extracting meson spectra from current correlators computed in…

High Energy Physics - Phenomenology · Physics 2015-02-25 Sungtae Cho , Koichi Hattori , Su Houng Lee , Kenji Morita , Sho Ozaki