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We present a sum-rule extraction of the decay constants of heavy-light mesons from the two-point correlator of pseudoscalar currents. To this end, we compare the perturbative expansions for the correlator and the decay constant performed in…

High Energy Physics - Phenomenology · Physics 2011-04-07 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Very recently, the LHCb Collaboration observed distinct structures with the $cc\bar{c}\bar{c}$ in the $J/\Psi$-pair mass spectrum. In this work, we construct four scalar ($J^{PC} = 0^{++}$) $[8_c]_{Q\bar{Q^\prime}}\otimes [8_c]_{Q^\prime…

High Energy Physics - Phenomenology · Physics 2021-05-05 Bo-Cheng Yang , Liang Tang , Cong-Feng Qiao

We study the possible spin-1 charmonium-like states by using QCD sum rule approach. We calculate the two-point correlation functions for all the local form tetraquark interpolating currents with $J^{PC}=1^{--}, 1^{-+}, 1^{++}$ and $1^{+-}$…

High Energy Physics - Phenomenology · Physics 2012-09-25 Wei Chen , Shi-Lin Zhu

We apply the QCD sum rule method to systematically study the $S$- and $P$-wave fully-strange tetraquark states within the diquark-antidiquark picture. We systematically construct their interpolating currents by explicitly adding the…

High Energy Physics - Phenomenology · Physics 2022-07-27 Niu Su , Hua-Xing Chen

We consider quark-hadron duality relations and QCD sum rules for correlators involving exotic tetraquark currents, here specializing to the case of quark-exchange processes. We point out the differences they exhibit with respect to the…

High Energy Physics - Phenomenology · Physics 2019-10-29 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

The alternating and non-alternating harmonic sums and other algebraic objects of the same equivalence class are connected by algebraic relations which are induced by the product of these quantities and which depend on their index class…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Blümlein

In this article, we assign the $Z_c^\pm(3900)$ to be the diquark-antidiquark type axialvector tetraquark state, study its magnetic moment with the QCD sum rules in the external weak electromagnetic field by carrying out the operator product…

High Energy Physics - Phenomenology · Physics 2018-04-18 Zhi-Gang Wang

In this article, we introduce a P-wave between the diquark and antidiquark explicitly to construct the vector tetraquark currents, and study the vector tetraquark states with the QCD sum rules systematically, and obtain the lowest vector…

High Energy Physics - Phenomenology · Physics 2019-01-21 Zhi-Gang Wang

We study the issue of duality violations in the VV-AA vacuum polarization function in the chiral limit. This is done with the help of a model with an expansion in inverse powers of the number of colors, Nc, allowing us to consider…

High Energy Physics - Phenomenology · Physics 2009-11-11 O. Cata , M. Golterman , S. Peris

We apply the method of QCD sum rules to study the doubly heavy tetraquark states $QQ\bar{q}\bar{n}$ with spin-parity $J^{P}=1^{+}$ and strangeness $S=0, -1$ using careful estimates of the Borel and threshold parameters involved. Masses of…

High Energy Physics - Phenomenology · Physics 2023-08-15 Di Gao , Duojie Jia , Yan-Jun Sun

The heavy-quark QCD sum rules are applied to a model of charmonium based upon the gauge/gravity duality. We find that there is strong agreement between the moments of the polarization function calculated from the holographic model and the…

High Energy Physics - Phenomenology · Physics 2011-02-11 Paul M. Hohler

A proper way of subtracting the continuum contributions in light-cone QCD sum rules (LCQSR) is demonstrated. Specifically, we calculate the continuum corresponding to a typical OPE appearing in LCQSR by properly combining the double…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hungchong Kim , Su Houng Lee , Makoto Oka

We analyze the so-called pinched weights, that are generally thought to reduce the violation of quark-hadron duality in Finite-Energy Sum Rules. After showing how this is not true in general, we explain how to address this question for the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Martin Gonzalez-Alonso , Antonio Pich , Joaquim Prades

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

Within the framework of QCD sum rules, we have investigated the tetraquark states with three heavy quarks. We systematically construct the interpolating currents for the possible $cc\bar{c}\bar{q}$, $cc\bar{b}\bar{q}$, $bc\bar{b}\bar{q}$,…

High Energy Physics - Phenomenology · Physics 2017-11-30 Jin-Feng Jiang , Wei Chen , Shi-Lin Zhu

QCD sum rules of the nucleon channel are reanalyzed, using the maximum entropy method (MEM). This new approach, based on the Bayesian probability theory, does not restrict the spectral function to the usual "pole + continuum"-form, allowing…

High Energy Physics - Phenomenology · Physics 2011-10-04 Keisuke Ohtani , Philipp Gubler , Makoto Oka

Using the QCD sum rule approach we study the Y(4260) state assuming that it can be described by a mixed charmonium-tetraquark current with $J^{PC}=1^{--}$ quantum numbers. For the mixing angle around $\theta \approx (53.0\pm 0.5)^{0}$, we…

High Energy Physics - Phenomenology · Physics 2013-06-19 J. M. Dias , R. M. Albuquerque , M. Nielsen , C. M. Zanetti

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 this article, we construct the diquark-diquark-antiquark type interpolating currents, and study the masses and pole residues of the $J^P={\frac{3}{2}}^-$ and ${\frac{5}{2}}^+$ hidden-charmed pentaquark states in details with the QCD sum…

High Energy Physics - Phenomenology · Physics 2016-02-16 Zhi-Gang Wang

Four-quark states are discussed within the constituent quark model. Incompleteness of existed studies of four-quark state with QCD sum rule is analyzed. The masses of diquark cluster were determined by QCD sum rules, and light four-quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ailin Zhang , Tao Huang , Tom Steele
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