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By incorporating contributions from both the (chromo)electric scale $gT$ and (chromo)magnetic scale $g^2T$, we establish spectral sum rules of quarks for strongly coupled QCD that respect Fermi-Dirac statistics as required by quantum…

High Energy Physics - Theory · Physics 2024-12-31 Yi-Lun Du , Nan Su , Konrad Tywoniuk

We analyse the calculations of deep inelastic structure functions of free nucleons by QCD sum rules method,carried out by others.We present our results of calculation of the distribution of valence quarks in nucleon placed into the nuclear…

High Energy Physics - Phenomenology · Physics 2009-10-30 E. G. Drukarev , M. G. Ryskin

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Matsuki , K. Yazaki

QCD sum rules are studied for the vector-isovector current at finite baryon density in the limit of large number of colors N_c. For the condensate side it is shown that in this limit the four-quark condensate factorizes also for the finite…

Nuclear Theory · Physics 2009-11-10 Stefan Leupold , Marcus Post

The non-local vacuum condensates of QCD describe the distributions of quarks and gluons in the non-perturbative QCD vacuum. Physically, this means that vacuum quarks and gluons have nonzero mean-squared momentum, called virtuality. In this…

High Energy Physics - Phenomenology · Physics 2011-11-17 Li-Juan Zhou , Leonard S. Kisslinger , Wei-xing Ma

QCD Laplace sum-rules are briefly reviewed and two sum-rule applications are presented. For scalar gluonium, upper bounds on the lightest state are obtained from ratios of Laplace sum-rules, and the role of instantons and the low-energy…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. G. Steele , D. Harnett

We evaluate the pion-nucleon and the pion-Delta sigma terms by employing the method of quantum chromodynamics (QCD) sum rules. The obtained value of the pion-nucleon sigma term is compatible with the larger values already anticipated by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Erkol , M. Oka

In this article, we analyze the electromagnetic form factors of the vector heavy-light mesons to the pseudoscalar heavy-light mesons in the framework of three-point QCD sum rules, where the contributions of vacuum condensate terms…

High Energy Physics - Phenomenology · Physics 2024-04-16 Jie Lu , Guo-Liang Yu , Zhi-Gang Wang , Bin Wu

We present a new calculation of the first Gegenbauer moment $a_1^K$ of the kaon light-cone distribution amplitude. This moment is determined by the difference between the average momenta of strange and nonstrange valence quarks in the kaon.…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Khodjamirian , Th. Mannel , M. Melcher

We deduce momentum sum rules for the parton structure functions of a photon target. Non-perturbative QCD contribution to the momentum sum rules follows from conservation of the energy--momentum tensor and it is calculated through the…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. L. Frankfurt , E. G. Gurvich

We will summarize the progress in understanding the changes in the vector meson spectral density in nuclear medium using the constraint equations obtained from the Borel transformed dispersion relation and QCD Operator Product Expansion. We…

Nuclear Theory · Physics 2009-10-31 Su Houng Lee

With the use of the world-line formalism, the heavy-quark condensate in the SU(N)-QCD is evaluated for the cases when the next-to-1/r term in the quark-antiquark potential at short distances is either quadratic, or linear. In the former…

High Energy Physics - Phenomenology · Physics 2010-02-23 Dmitri Antonov

In a recent Physical Review Letter, Kondo and Morimatsu present a QCD sum rule calculation of nucleon-nucleon scattering lengths. They also relate the empirical scattering lengths to the nucleon mass shift in nuclear matter to cast doubt on…

High Energy Physics - Phenomenology · Physics 2009-10-22 R. J. Furnstahl , T. Hatsuda

We compare two approaches to the description of pion Compton scattering at moderate momentum transfer, one being based on local duality QCD sum rules for the invariant amplitudes of the process, which have been derived recently, and the…

High Energy Physics - Phenomenology · Physics 2010-11-01 Claudio Coriano' , Hsiang-nan Li

We consider the procedure of determination of induced quark condensates in the QCD sum rule approach. It is noted that the previous estimations of this value were very rough. It is shown, that the detailed analyses of this parameter of QCD…

High Energy Physics - Phenomenology · Physics 2009-10-30 V. M. Belyaev , A. Oganesian

In the framework of a specific scheme of the QCD sum rules for $S$-wave levels of the heavy quarkonium, one derives expressions, relating the leptonic constants, the energetic density of quarkonium states and universal characteristics in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kiselev V.

We examine the interpretation of the light scalar meson nonet as bound states of the scalar diquark and the scalar antidiquark using the QCD sum rule approach. Our results are obtained by means of the operator product expansion (OPE)…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hee-Jung Lee

Motivated by the similar mass splitting in light-light and heavy-light meson system in $J^{P}=0^{-}$ and $J^{P}=0^{+}$ channel, taking into account the operator mixing to obtain an infrared stable OPE as well as a complete both…

High Energy Physics - Phenomenology · Physics 2010-04-29 H. Y. Jin , J. Zhang , Z. F. Zhang , T. G. Steele

In spite of undeniable similarities of the applied techniques, somewhat different challenges are encountered when extracting, from QCD sum rules derived from two-point correlators of appropriate interpolating heavy-light quark currents, the…

High Energy Physics - Phenomenology · Physics 2014-11-26 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We explore a modification of QCD sum rules where, instead of Borel transforms of current correlators, one considers the correlators in coordinate space as functions of Euclidean time. Taking the nucleon channel as an example, we derive such…

High Energy Physics - Phenomenology · Physics 2026-05-06 A. V. Smilga