scholarly journals Analysis of Radial Excitations of Octet Baryons in QCD Sum Rules

2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
T. M. Aliev ◽  
S. Bilmis
Keyword(s):  
Ground State ◽  
Sum Rules ◽  
Qcd Sum Rules ◽  
Linear Combinations ◽  
The Masses ◽  
Good Agreement ◽  
Octet Baryons

Using the QCD sum rules method, we estimate the mass and residues of the first radial excitations of octet baryons. The contributions coming from the ground state baryons are eliminated by constructing the linear combinations of the sum rules corresponding to different Lorentz structures. Our predictions of the masses of the first radial excitations of octet baryons are in good agreement with the data.

scholarly journals Triply-charmed hexaquark states with the QCD sum rules

2020 ◽  
Vol 35 (14) ◽  
pp. 2050073
Author(s):  
Zhi-Gang Wang
Keyword(s):  
Spectral Density ◽  
Ground State ◽  
Operator Product Expansion ◽  
Sum Rules ◽  
Axial Vector ◽  
Energy Scale ◽  
Operator Product ◽  
Pole Contribution ◽  
Qcd Sum Rules ◽  
The Masses

In this paper, we construct the charmed-diquark–charmed-diquark–charmed-diquark-type current to study the axial vector triply-charmed hexaquark state with the QCD sum rules in details. In calculations, we take the energy scale formula [Formula: see text] to choose the pertinent energy scale of the QCD spectral density so as to enhance the pole contribution and improve the convergent behavior of the operator product expansion. If the spin-breaking effects are small for the triply-charmed hexaquark states, the ground state hexaquark states with [Formula: see text], [Formula: see text] and [Formula: see text] are estimated to have the masses about 5.8 GeV and narrow widths.

scholarly journals Are the new excited Ωc baryons negative parity states?

2019 ◽  
Vol 35 (01) ◽  
pp. 1950344 ◽  
Author(s):  
T. M. Aliev ◽  
S. Bilmis ◽  
M. Savci
Keyword(s):  
Sum Rules ◽  
Negative Parity ◽  
Experimental Results ◽  
Qcd Sum Rules ◽  
Quantum Numbers ◽  
Good Agreement

We calculate the mass and residue of the newly observed [Formula: see text] and [Formula: see text] states with quantum numbers [Formula: see text] and [Formula: see text] within QCD sum rules. The calculation is carried out by using the general form for interpolating current for [Formula: see text] baryon. Our predictions on masses are in good agreement with the experimental results.

scholarly journals Thermal Properties of Light Tensor Mesons via QCD Sum Rules

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
K. Azizi ◽  
A. Türkan ◽  
E. Veli Veliev ◽  
H. Sundu
Keyword(s):  
Thermal Properties ◽  
Finite Temperature ◽  
Sum Rules ◽  
Temperature Dependent ◽  
Qcd Sum Rules ◽  
Continuum Threshold ◽  
Decay Constants ◽  
Good Consistency ◽  
Theoretical Predictions ◽  
The Masses

The thermal properties off2(1270),a2(1320), andK2*(1430) light tensor mesons are investigated in the framework of QCD sum rules at finite temperature. In particular, the masses and decay constants of the light tensor mesons are calculated taking into account the new operators appearing at finite temperature. The numerical results show that, at the point at which the temperature-dependent continuum threshold vanishes, the decay constants decrease with amount of (70–85)% compared to their vacuum values, while the masses diminish about (60–72)% depending on the kinds of the mesons under consideration. The results obtained at zero temperature are in good consistency with the experimental data as well as the existing theoretical predictions.

Strong Coupling Constants of the Octet Baryons to K and π Mesons in Light Cone QCD Sum Rules

2007 ◽  
Author(s):  
T. M. Aliev ◽  
A. Ozpineci ◽  
S. Yakovlev ◽  
V. S. Zamiralov ◽  
Pietro Colangelo ◽  
...  
Keyword(s):  
Strong Coupling ◽  
Light Cone ◽  
Sum Rules ◽  
Coupling Constants ◽  
Qcd Sum Rules ◽  
Octet Baryons

scholarly journals Analysis of the heavy quarkonium states hc and hb with QCD sum rules

2014 ◽  
Vol 29 ◽  
pp. 1460233
Author(s):  
Zhi-Gang Wang ◽  
Shu-Yuan Guo
Keyword(s):  
Experimental Data ◽  
Sum Rules ◽  
P Wave ◽  
Heavy Quarkonium ◽  
Qcd Sum Rules ◽  
Decay Constants ◽  
Spin Singlet ◽  
Structure Formula ◽  
Quark Structure ◽  
The Masses

In this article, we take the tensor currents [Formula: see text] to interpolate the P-wave spin-singlet heavy quarkonium states hQ, and study the masses and decay constants with the Borel sum rules and moments sum rules. The masses and decay constants from the Borel sum rules and moments sum rules are consistent with each other, the masses are also consistent with the experimental data. The heavy quarkonium states hQ couple potentially to the tensor currents [Formula: see text], and have the quark structure ϵijkξ†σkζ besides the quark structure [Formula: see text].

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.

QCD SUM RULES FOR THE $Z_c^+(3900)$ STATE

2014 ◽  
Vol 26 ◽  
pp. 1460069 ◽  
Author(s):  
F. S. NAVARRA ◽  
J. M. DIAS ◽  
M. NIELSEN ◽  
C. M. ZANETTI
Keyword(s):  
Experimental Data ◽  
Sum Rules ◽  
Coupling Constants ◽  
Tetraquark State ◽  
Point Function ◽  
Qcd Sum Rules ◽  
Decay Widths ◽  
Structure Formula ◽  
Good Agreement

We use the QCD sum rules to study the recently observed charmonium-like structure [Formula: see text] as a tetraquark state. We evaluate the three-point function and extract the coupling constants of the [Formula: see text] and [Formula: see text] vertices and the corresponding decay widths in these channels. The results obtained are in good agreement with the experimental data and supports to the tetraquark picture of this state.

scholarly journals The scalar and pseudoscalar hidden-charm tetraquark states with QCD sum rules

2018 ◽  
Vol 33 (14n15) ◽  
pp. 1850090
Author(s):  
Zun-Yan Di ◽  
Zhi-Gang Wang
Keyword(s):  
Experimental Data ◽  
Correlation Functions ◽  
Sum Rules ◽  
Qcd Sum Rules ◽  
Sum Rule ◽  
Rule Approach ◽  
Point Correlation ◽  
The Masses ◽  
Vacuum Condensates ◽  
Conserved Currents

Based on the diquark configuration, we construct the diquark–antidiquark interpolating tetraquark currents with [Formula: see text] and [Formula: see text], which can couple to the scalar and pseudoscalar tetraquark states, respectively, since they are not conserved currents. Then, we investigate their two-point correlation functions including the contributions of the vacuum condensates up to dimension-10 and extract the masses and pole residues of the tetraquark states with [Formula: see text] and [Formula: see text] through the QCD sum rule approach. The predicted masses can be confronted with the experimental data in the future. Moreover, we briefly discuss the possible decay patterns of the tetraquark states.

HADRON FORM FACTORS IN QCD

1993 ◽  
Vol 08 (01) ◽  
pp. 153-191 ◽  
Author(s):  
V.M. BELYAEV ◽  
IAN I. KOGAN
Keyword(s):  
Electromagnetic Field ◽  
Sum Rules ◽  
Form Factors ◽  
Polarization Operator ◽  
Infrared Region ◽  
Detailed Calculation ◽  
Qcd Sum Rules ◽  
External Variable ◽  
Nucleon Polarization ◽  
Good Agreement

We consider the QCD sum rules approach for hadron form factors in infrared region 0≤Q2<1 GeV2. The QCD sum rules in external variable field are formulated. As an example this method is used to calculate proton and nucleon magnetic form factors. The detailed calculation of the nucleon polarization operator in external variable electromagnetic field is done. The obtained form factors (proton and neutron) are in a good agreement with experimental ones.

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