scholarly journals ANALYSIS OF THE Y(4274) WITH QCD SUM RULES

2011 ◽  
Vol 26 (29) ◽  
pp. 4929-4943 ◽  
Author(s):  
ZHI-GANG WANG
Keyword(s):  
Sum Rules ◽  
Molecular State ◽  
Qcd Sum Rules ◽  
Numerical Result ◽  
Molecule Type

In this paper, we assume that there exists a pseudoscalar [Formula: see text] molecular state and study its mass with the molecule-type interpolating current in details using the QCD sum rules. The numerical result disfavors identifying the charmonium-like state Y(4274) as the [Formula: see text] molecule.

scholarly journals Analysis of the DD¯⁎K System with QCD Sum Rules

2019 ◽  
Vol 2019 ◽  
pp. 1-6 ◽  
Author(s):  
Zun-Yan Di ◽  
Zhi-Gang Wang
Keyword(s):  
Spectral Density ◽  
Sum Rules ◽  
Resonance State ◽  
Energy Scale ◽  
Color Singlet ◽  
Qcd Sum Rules ◽  
Optimal Energy ◽  
Numerical Result ◽  
The Future ◽  
Vacuum Condensates

In this article, we construct the color singlet-singlet-singlet interpolating current with IJP=3/21- to study the DD¯⁎K system through QCD sum rules approach. In calculations, we consider the contributions of the vacuum condensates up to dimension-16 and employ the formula μ=MX/Y/Z2-2Mc2 to choose the optimal energy scale of the QCD spectral density. The numerical result MZ=4.71-0.11+0.19 GeV indicates that there exists a resonance state Z lying above the DD¯⁎K threshold to saturate the QCD sum rules. This resonance state Z may be found by focusing on the channel J/ψπK of the decay B→J/ψππK in the future.

scholarly journals Analysis of the D̄Σc, D̄Σc∗, D̄∗Σc and D̄∗Σc∗ pentaquark molecular states with QCD sum rules

2019 ◽  
Vol 34 (19) ◽  
pp. 1950097 ◽  
Author(s):  
Zhi-Gang Wang
Keyword(s):  
Operator Product Expansion ◽  
Sum Rules ◽  
Molecular State ◽  
Operator Product ◽  
Qcd Sum Rules ◽  
Dimension Formula ◽  
Vacuum Condensates

In this paper, we study the [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] pentaquark molecular states with the QCD sum rules by carrying out the operator product expansion up to the vacuum condensates of dimension [Formula: see text] in a consistent way. The present calculations support assigning the [Formula: see text] to be the [Formula: see text] pentaquark molecular state with [Formula: see text], assigning the [Formula: see text] to be the [Formula: see text] pentaquark molecular state with [Formula: see text], assigning the [Formula: see text] to be the [Formula: see text] pentaquark molecular state with [Formula: see text] or the [Formula: see text] pentaquark molecular state with [Formula: see text]. Special attention is paid to the operator product expansion.

scholarly journals Assignments of the X 4140 , X 4500 , X 4630 , and X 4685 Based on the QCD Sum Rules

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Zhi-Gang Wang
Keyword(s):  
Excited State ◽  
Sum Rules ◽  
Molecular State ◽  
Tetraquark State ◽  
Qcd Sum Rules ◽  
Scattering States ◽  
Scattering State ◽  
Good Agreement

In this article, we take into account our previous calculations based on the QCD sum rules, and tentatively assign the X 4630 as the D s ∗ D ¯ s 1 − D s 1 D ¯ s ∗ tetraquark molecular state or c s P c ¯ s ¯ A + c s A c ¯ s ¯ P tetraquark state with the J P C = 1 − + , and assign the X 3915 and X 4500 as the 1S and 2S c s A c ¯ s ¯ A tetraquark states, respectively, with the J P C = 0 + + . Then, we extend our previous works to investigate the LHCb’s new tetraquark candidate X 4685 as the first radial excited state of the X 4140 with the QCD sum rules and obtain the mass M X = 4.70 ± 0.12   GeV , which is in very good agreement with the experimental value 4684 ± 7 − 16 + 13   MeV . Furthermore, we investigate the two-meson scattering state contributions in details and observe that the two-meson scattering states alone cannot saturate the QCD sum rules, the contributions of the tetraquark states play an unsubstitutable role, and we can saturate the QCD sum rules with or without the two-meson scattering states.

scholarly journals Establishing the first hidden-charm pentaquark with strangeness

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
Hua-Xing Chen ◽  
Wei Chen ◽  
Xiang Liu ◽  
Xiao-Hai Liu
Keyword(s):  
Sum Rules ◽  
Molecular State ◽  
Qcd Sum Rules ◽  
Link Type ◽  
Molecular Picture

AbstractWe study the $$P_{cs}(4459)^0$$ P cs ( 4459 ) 0 recently observed by LHCb using the method of QCD sum rules. Our results support its interpretation as the $${{\bar{D}}}^* \varXi _c$$ D ¯ ∗ Ξ c hadronic molecular state of either $$J^P=1/2^-$$ J P = 1 / 2 - or $$3/2^-$$ 3 / 2 - . Within the hadronic molecular picture, the three LHCb experiments observing $$P_c$$ P c and $$P_{cs}$$ P cs states (Aaij et al., Phys Rev Lett 115:072001, 2015; Aaij et al., Phys Rev Lett 122:222001, 2019; Aaij et al., arXiv:2012.10380 [hep-ex], 2012) can be well understood as a whole. This strongly supports the existence of hadronic molecules, whose studies can significantly improve our understanding on the construction of the subatomic world. To verify this picture, we propose to further investigate the $$P_{cs}(4459)^0$$ P cs ( 4459 ) 0 to examine whether it can be separated into two states, and to search for the $${{\bar{D}}} \varXi _c$$ D ¯ Ξ c molecular state of $$J^P=1/2^{-}$$ J P = 1 / 2 - .

scholarly journals QCD sum rules for parameters of the B -meson distribution amplitudes

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
Muslem Rahimi ◽  
Marcel Wald
Keyword(s):  
B Meson ◽  
Sum Rules ◽  
Qcd Sum Rules

scholarly journals The field strength correlator from QCD sum rules

2000 ◽  
Vol 86 (1-3) ◽  
pp. 421-425 ◽  
Author(s):  
M. Eidemüller ◽  
H.G. Dosch ◽  
M. Jamin
Keyword(s):  
Field Strength ◽  
Sum Rules ◽  
Qcd Sum Rules

scholarly journals The Radiative Δ(1600) → γN Decay in the Light-Cone QCD Sum Rules

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 255
Author(s):  
Haifa I. Alrebdi ◽  
Thabit Barakat
Keyword(s):  
Decay Rate ◽  
Light Cone ◽  
Magnetic Dipole Moment ◽  
Sum Rules ◽  
Electric Quadrupole ◽  
The Other ◽  
Electric Quadrupole Moment ◽  
Multipole Moments ◽  
Qcd Sum Rules ◽  
Strongly Agree

Within the framework of the light-cone QCD sum rules method (LCSR’s), the radiative Δ(1600)→γN decay is studied. In particular, the magnetic dipole moment GM1(0) and the electric quadrupole moment GE1(0) are estimated. We also calculate the ratio REM=−GE1(0)GM1(0) and the decay rate. The predicted multipole moments and the decay rate strongly agree with the existing experimental results as well as with the other available phenomenological approaches.

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