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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

A new relation between $\rho$-meson mass, weak $\pi$-meson decay constant, quark and gluon condensates is derived from the QCD sum rules. As a byproduct an explanation for the dominance of $\rho\rho$-decay for the $f_0(1370)$-meson is…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. S. Afonin

We consider the assumption that a tachyonic gluon mass imitates short-distance nonperturbative physics of QCD. The phenomenological implications include modifications of the QCD sum rules for correlators of currents with various quantum…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. G. Chetyrkin , Stephan Narison , V. I. Zakharov

We apply, to the new OPAL data on V+A strange spectral functions, a suitable combination of QCD spectral sum rules directly sensitive to the combination of strange quark (m_s) and tachyonic gluon (\lambda^2) masses . Using the mean value of…

High Energy Physics - Phenomenology · Physics 2016-09-06 Stephan Narison

I discuss the scope and naturalness of the proton mass decomposition (or sum rule) published in PRL74, 1071 (1995) and answer a few criticisms that appeared recently in the literature, focusing particularly on its interpretation and the…

High Energy Physics - Phenomenology · Physics 2021-03-09 Xiangdong Ji

The gauge invariant two-point correlator for the gluon field strength tensor is analysed by means of the QCD sum rule method. To this end, we make use of a relation of this correlator to a two-point function for a quark-gluon hybrid in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. G. Dosch , M. Eidemueller , M. Jamin

I present a mini-review of the masses and couplings of the bare (unmixed) light scalar mesons : $\bar qq, (\overline{qq})(qq), (\bar qq)(\bar qq), gg$ from QCD spectral sum rules (QSSR) and low-energy theorems (LET) which we compare with…

High Energy Physics - Phenomenology · Physics 2009-05-06 Stephan Narison

We discuss an application of QCD sum rules to the heavy baryons $\Lambda_Q$ and $\Sigma_Q$. The predictions for the masses of heavy baryons, residues and Isgur-Wise function are presented. The new results on two loop anomalous dimensions of…

High Energy Physics - Phenomenology · Physics 2016-09-06 O. I. Yakovlev

We derive new QCD sum rules for the axial coupling constants by considering two-point correlation functions of the axial-vector currents in a one nucleon state. The QCD sum rules tell us that the axial coupling constants are expressed by…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Nishikawa , S. Saito , Y. Kondo

We propose to calculate the gluon condensate in lattice QCD in an indirect way by extracting it from the correlator of hadronic currents of heavy quarks. Moments (derivatives with respect to momentum at vanishing momentum) of the vector and…

High Energy Physics - Lattice · Physics 2009-10-28 Alexander Bochkarev

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…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Ozpineci S. B. Yakovlev V. S. Zamiralov

The strong coupling constants between light vector mesons and octet-decuplet baryons are calculated in framework of the light cone QCD sum rules, taking into account SU(3) flavor symmetry breaking effects. It is shown that all strong…

High Energy Physics - Phenomenology · Physics 2010-04-06 T. M. Aliev , A. Ozpineci , M. Savci , V. S. Zamiralov

In this paper, we use momentum sum rule to compute the fractions of momentum carried by quarks and gluons in a self-similarity based model of proton. Comparison of the results with the prediction of QCD asymptotics is also made.

High Energy Physics - Phenomenology · Physics 2015-06-15 Akbari Jahan , D K Choudhury

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

Two new QCD sum rules for nucleons in nuclear matter are obtained from a mixed correlator of spin-1/2 and spin-3/2 interpolating fields. These new sum rules, which are insensitive to the poorly known four-quark condensates, provide…

Nuclear Theory · Physics 2009-10-28 R. J. Furnstahl , Xuemin Jin , Derek B. Leinweber

We demonstrate that the QCD sum rule method can be successfully applied to the calculation of CP-odd electromagnetic observables induced by a vacuum theta--angle. We implement the approach in calculating the electric dipole moment of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Pospelov , A. Ritz

This is a short review of the present status of the dynamics of the heavy quarks extracted from QCD spectral sum rules. We discuss the determination of the ``perturbative" quark mass, the decay constants of the $D$ and $B$ mesons, the form…

High Energy Physics - Phenomenology · Physics 2008-02-03 S. Narison

We study the properties of the $\Delta$ isobar in the symmetric and asymmetric nuclear matter using the QCD sum rules approach based on the energy dispersion relation. Allowing for different continuum thresholds for the polarization tensors…

Nuclear Theory · Physics 2018-09-05 Jesuel Marques L. , Su Houng Lee , Aaron Park , R. D. Matheus , Kie Sang Jeong

We calculate the coupling constants between the light vector mesons and heavy mesons within the framework of the light-cone QCD sum rule in the leading order of heavy quark effective theory. The sum rules are very stable with the variations…

High Energy Physics - Phenomenology · Physics 2009-08-09 Peng-Zhi Huang , Liang Zhang , Shi-Lin Zhu

We scrutinize recent findings on the charged-pion elastic form factor and the form factors entering in neutral-meson-to-photons transition amplitudes within the framework of QCD sum rules.

High Energy Physics - Phenomenology · Physics 2015-06-05 Irina Balakireva , Wolfgang Lucha , Dmitri Melikhov