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In this article, we calculate the contributions of the vacuum condensates up to dimension-10 in the operator product expansion, and study the $J^{PC}=0^{++}$, $1^{+-}$, $2^{++}$ $D^*\bar{D}^*$, $D_s^*\bar{D}_s^*$, $B^*\bar{B}^*$,…

High Energy Physics - Phenomenology · Physics 2014-07-18 Zhi-Gang Wang

We use the QCD sum rules to study possible $B_c$-like molecular states. We consider isoscalar $J^P = 0^+$ and $J^P = 1^+ D^{(\ast)}B^{(\ast)}$ molecular currents. We consider the contributions of condensates up to dimension eight and we…

High Energy Physics - Phenomenology · Physics 2012-11-22 Raphael M. Albuquerque , Xiang Liu , Marina Nielsen

We present a QCD sum rule analysis for the newly observed resonance $X_{c}(3250)$ by assuming it as a $D_{0}^{*}(2400)N$ molecular state. Technically, contributions of operators up to dimension 12 are included in the operator product…

High Energy Physics - Phenomenology · Physics 2013-04-15 Jian-Rong Zhang

In the framework of QCD Sum Rules we investigate the $q q^\prime \bar{Q} \bar{Q}$ tetraquark structure with quantum number $J^P = 1^+$, which are embedded in two types of configurations, the $[8_c]_{q \bar{Q}} \otimes [8_c]_{q^\prime…

High Energy Physics - Phenomenology · Physics 2020-06-24 Liang Tang , Bin-Dong Wan , Kim Maltman , Cong-Feng Qiao

In this work, we systematically investigate the singly-charmed pentaquark molecular states $D^{(*)}N$, $D^{(*)}\Xi^{(*)}$ and $D_s^{(*)}\Xi^{(*)}$ with the QCD sum rules by carrying out the operator product expansion up to the vacuum…

High Energy Physics - Phenomenology · Physics 2023-09-12 Qi Xin , Xiao-Song Yang , Zhi-Gang Wang

In this article, we assign the $Y(4390)$ and $Y(4220)$ to be the vector molecular states $D\bar{D}_1(2420)$ and $D^*\bar{D}_0^*(2400)$, respectively, and study their masses and pole residues with the QCD sum rules in details. The present…

High Energy Physics - Phenomenology · Physics 2017-06-30 Zhi-Gang Wang

We use QCD sum rules to study the possible existence of a $D_s\bar{D}^*+ D_s^*\bar{D}$ molecule with the quantum number $J^P=1^+$. We consider the contributions of condensates up to dimension eight and work at leading order in $\alpha_s$.…

High Energy Physics - Phenomenology · Physics 2015-05-13 Su Houng Lee , Marina Nielsen , Ulrich Wiedner

We study $\bar{Q}Q\bar{q}q$ and $\bar{Q}qQ\bar{q}$ states as mixed states in QCD sum rules. By calculating the two-point correlation functions of pure states of their corresponding currents, we review the mass and coupling constant…

High Energy Physics - Phenomenology · Physics 2022-06-08 Ze-Sheng Chen , Zhuo-Ran Huang , Hong-Ying Jin , T. G. Steele , Zhu-Feng Zhang

In this work, we present a systematic calculation of the mass spectrum for tetraquark hybrid states, focusing on the $8_{[c\bar{c}]}\otimes 8_{[G]}\otimes 8_{[c\bar{c}]}$ color configuration, within the framework of QCD sum rules. As an…

High Energy Physics - Phenomenology · Physics 2025-11-25 Chun-Meng Tang , Chun-Gui Duan , Liang Tang , Cong-Feng Qiao

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.

A $D$-like meson resonance with mass around 2.9 GeV has been found in the $DK\bar K$ system using two independent and different model calculations based on: (1) QCD sum rules and (2) solution of Fadeev equations with input interactions…

High Energy Physics - Phenomenology · Physics 2013-03-14 A. Martínez Torres , K. P. Khemchandani , M. Nielsen , F. S. Navarra

In this article, we assume that there exists a pseudoscalar $D_s{\bar D}_{s0}(2317)$ molecular state and study its mass with the molecule-type interpolating current in details using the QCD sum rules. The numerical result disfavors…

High Energy Physics - Phenomenology · Physics 2011-11-30 Zhi-Gang Wang

We study $D_s^+ D_s^-$ and $D \bar D$ states assuming that they are hadronic molecules with $J^{PC}=0^{++}$ quantum number. We use two-point QCD sum rule formalism and extract the mass and decay constant values of these states. We take into…

High Energy Physics - Phenomenology · Physics 2023-02-02 Halil Mutuk

QCD sum-rules are employed to determine whether the X(3872) can be described as a mixed state that couples to $J^{PC}=1^{++}$ charmonium hybrid and $\bar D D^*$ molecular currents. After calculating the mixed correlator of hybrid and…

High Energy Physics - Phenomenology · Physics 2013-09-24 Wei Chen , Hong-ying Jin , R. T. Kleiv , T. G. Steele , Meng Wang , Qing Xu

Recently, the BESIII Collaboration indicate that no $\Lambda_c\bar{\Sigma}_c$ bound-state with a mass near threshold in the range $4715$--$4735~\mathrm{MeV}$ was observed. In order to determine the plausible mass region of the states in…

High Energy Physics - Phenomenology · Physics 2026-05-05 Xuan-Heng Zhang , Cong-Feng Qiao

We present new compact integrated expressions of QCD spectral functions of heavy-light molecules and four-quark $XYZ$-like states at lowest order (LO) of perturbative (PT) QCD and up to $d=8$ condensates of the Operator Product Expansion…

High Energy Physics - Phenomenology · Physics 2017-02-01 R. Albuquerque , S. Narison , F. Fanomezana , A. Rabemananjara , D. Rabetiarivony , G. Randriamanatrika

In this study, we investigate the mass spectrum of the $\Omega\bar{\Omega}$ states with quantum numbers $J^{PC}=0^{-+}$, $1^{--}$, $0^{++}$, and $1^{++}$ within the framework of QCD sum rules. Employing suitably constructed interpolating…

High Energy Physics - Phenomenology · Physics 2025-12-18 Bing-Dong Wan , Jun-Hao Zhang , Yan Zhang

We use QCD sum rules to test the nature of the recently observed mesons Y(4260), Y(4350) and Y(4660), assumed to be exotic four-quark $(c\bar{c}q\bar{q})$ or $(c\bar{c}s\bar{s})$ states with $J^{PC}=1^{--}$. We work at leading order in…

High Energy Physics - Phenomenology · Physics 2011-04-28 R. M. Albuquerque , M. Nielsen

In this paper, we study the scalar triple-heavy tetraquark states with quark content $cc\bar{c}\bar{s}$, $\eta_{c}D_{s}$ molecular state and $[cc]_{A(T)}[\bar{c}\bar{s}]_{A(T)}$ compact tetraquark states, by the QCD sum rule method. First,…

High Energy Physics - Phenomenology · Physics 2025-06-24 Yong-Jiang Xu , Luo-Geng Tian , Yuan Li , Jin-Yun Wu , Yong-Lu Liu , Ming-Qiu Huang

In the present work, the doubly-charm and doubly-bottom pentaquark molecular states $D^{(*)}\Sigma_c^{(*)}$ and $B^{(*)}\Sigma_b^{(*)}$ are studied via the QCD sum rules. Sixteen color singlet-singlet type currents with the definite…

High Energy Physics - Phenomenology · Physics 2024-07-30 Xiu-Wu Wang , Zhi-Gang Wang