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We discuss the extraction of form factors from three-point sum rules making use of harmonic-oscillator model, where we derive the exact expression for the relevant correlator. We determine the form factor of the ground state by the standard…

High Energy Physics - Phenomenology · Physics 2010-04-28 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

In the QCD Sum Rule determination of $m_s$ using the two-point correlator of divergences of $\Delta S=1$ vector currents, the final uncertainty on $m_s$ is mainly due to the hadronic spectral function. Using a specific parameterization…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Colangelo , F. De Fazio , G. Nardulli , N. Paver

Ground-state properties are central to our understanding of quantum many-body systems. At first glance, it seems natural and essential to obtain the ground state before analyzing its properties; however, its exponentially large Hilbert…

Strongly Correlated Electrons · Physics 2022-09-26 Pei-Lin Zheng , Si-Jing Du , Yi Zhang

We investigate charmed hybrid baryons using the QCD sum rule method within the framework of heavy quark effective theory. We construct twenty-eight interpolating currents for charmed hybrid baryons, seven of which are employed in QCD sum…

High Energy Physics - Phenomenology · Physics 2025-10-31 Hui-Min Yang , Xuan Luo , Hua-Xing Chen , Wei Chen

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…

We present the first numerical QCD bound state calculation based on a renormalization group-improved light-front Hamiltonian formalism. The QCD Hamiltonian is determined to second order in the coupling, and it includes two-body confining…

High Energy Physics - Phenomenology · Physics 2009-10-28 Martina Brisudova , Robert Perry

We use results from a 6-th order Taylor expansion of the QCD equation of state to construct expansions for cumulants of conserved charge fluctuations and their correlations. We show that these cumulants strongly constrain the range of…

High Energy Physics - Lattice · Physics 2017-03-21 Frithjof Karsch

We explore the equation of state for nuclear matter in the quark-meson coupling model, including full Fock terms. The comparison with phenomenological constraints can be used to restrict the few additional parameters appearing in the Fock…

Nuclear Theory · Physics 2015-11-30 D. L. Whittenbury , J. D. Carroll , A. W. Thomas , K. Tsushima , J. R. Stone

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

In this paper, a new method to describe the energy spectrums of bound states in Quantum Field Theory is presented. We point out that the fundamental field and its dual soliton combine together to form bound states and the soliton…

High Energy Physics - Theory · Physics 2020-06-09 Changyong Liu

QCD Laplace Sum-Rules must satisfy a fundamental Hoelder inequality if they are to consistently represent an integrated hadronic spectral function. The Laplace sum-rules of pion currents is shown to violate this inequality unless the $u$…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. G. Steele

Taking the gauge invariant quark correlator as an example, in this work we perform a direct comparison of lattice QCD simulations with the QCD sum rule approach. The quark correlator is first investigated in the framework of QCD sum rules…

High Energy Physics - Phenomenology · Physics 2015-06-25 H. G. Dosch , M. Eidemuller , M. Jamin , E. Meggiolaro

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

We consider a phenomenologycal parametrization of the QCD running coupling which arises from the dispersion relation respecting the holomorphic properties of the physical QCD observables in the complex momentum plane. The parameters are…

High Energy Physics - Phenomenology · Physics 2017-10-03 Cesar Ayala

We analyse the structure of current-current correlators in coordinate space in large $N_c$ limit when the corresponding spectral density takes the form of an infinite sum over hadron poles. The latter are computed in the QCD string model…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. I. Shevchenko , Yu. A. Simonov

Techniques for using Gaussian QCD sum-rules to predict hadronic resonance properties are developed for single-resonance and two-resonance phenomenological models, and criteria are developed for determining which of these models is required…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Orlandini , T. G. Steele , D. Harnett

The possible in-medium changes of the properties of an omega meson placed in cold nuclear matter are constrained by QCD sum rules. It is shown that the sum rules cannot fully determine the in-medium spectral shape of the omega meson.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Birger Steinmueller , Stefan Leupold

The mass spectra of ground-state triply heavy baryons are systematically unscrambled and computed in QCD sum rules. With a tentative $(QQ)-(Q')$ configuration for $QQQ'$, the interpolating currents representing the triply heavy baryons are…

High Energy Physics - Phenomenology · Physics 2009-04-17 Jian-Rong Zhang , Ming-Qiu Huang

The operator product expansion of current correlators at short distances, and the notion of QCD-hadron duality are the cornerstone of QCD sum rules. The extension of this programme to $T \neq 0$ is discussed, together with applications to…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. A. Dominguez

Focusing on the continuum meson bound-state problem, a novel method is used to calculate closed-form Bethe-Salpeter kernels that are symmetry consistent with any reasonable gluon-quark vertex, $\Gamma_\nu$, and therewith deliver a…

High Energy Physics - Phenomenology · Physics 2023-03-22 Zhen-Ni Xu , Zhao-Qian Yao , Si-Xue Qin , Zhu-Fang Cui , Craig D. Roberts