scholarly journals The linear radial spectrum of scalar mesons from QCD sum rules in the planar limit

2018 ◽  
Vol 191 ◽  
pp. 04004 ◽  
Author(s):  
S.S. Afonin ◽  
T.D. Solomko
Keyword(s):  
Sum Rules ◽  
Scalar Particle ◽  
Qcd Sum Rules ◽  
Scalar Mesons ◽  
Regge Trajectories ◽  
Planar Limit ◽  
Light Scalar ◽  
Sigma Meson

We discuss calculations of large-Nc masses of light scalar mesons from the QCD sum rules. Two methods based on the use of linear radial Regge trajectories are presented. We point out the appearance of state near 0.5 GeV in the scalar isoscalar channel which emerges in both methods and presumably corresponds to the lightest scalar particle - the sigma-meson.

scholarly journals Connections between chiral Lagrangians and QCD sum-rules

2016 ◽  
Vol 31 (03) ◽  
pp. 1650023 ◽  
Author(s):  
Amir H. Fariborz ◽  
A. Pokraka ◽  
T. G. Steele
Keyword(s):  
Chiral Lagrangians ◽  
Sum Rules ◽  
Chiral Symmetry Breaking ◽  
Vacuum Expectation ◽  
Qcd Sum Rules ◽  
Mixing Angle ◽  
Scalar Mesons ◽  
Scale Factors ◽  
Quark Level ◽  
Light Scalar

In this paper, it is shown how a chiral Lagrangian framework can be used to derive relationships connecting quark-level QCD correlation functions to mesonic-level two-point functions. Crucial ingredients of this connection are scale factor matrices relating each distinct quark-level substructure (e.g. quark–antiquark, four-quark) to its mesonic counterpart. The scale factors and mixing angles are combined into a projection matrix to obtain the physical (hadronic) projection of the QCD correlation function matrix. Such relationships provide a powerful bridge between chiral Lagrangians and QCD sum-rules that are particularly effective in studies of the substructure of light scalar mesons with multiple complicated resonance shapes and substantial underlying mixings. The validity of these connections is demonstrated for the example of the isotriplet [Formula: see text] system, resulting in an unambiguous determination of the scale factors from the combined inputs of QCD sum-rules and chiral Lagrangians. These scale factors lead to a remarkable agreement between the quark condensates in QCD and the mesonic vacuum expectation values that induce spontaneous chiral symmetry breaking in chiral Lagrangians. This concrete example shows a clear sensitivity to the underlying [Formula: see text]-system mixing angle, illustrating the value of this methodology in extensions to more complicated mesonic systems.

Scalar mesons within QCD sum rules in the planar limit

2008 ◽  
Author(s):  
S. S. Afonin ◽  
A. A. Andrianov ◽  
V. A. Andrianov ◽  
D. Espriu ◽  
George Rupp ◽  
...  
Keyword(s):  
Sum Rules ◽  
Qcd Sum Rules ◽  
Scalar Mesons ◽  
Planar Limit

Light scalar mesons in QCD sum rules with inclusion of instantons

2009 ◽  
Vol 79 (11) ◽  
Author(s):  
J. Zhang ◽  
H. Y. Jin ◽  
Z. F. Zhang ◽  
T. G. Steele ◽  
D. H. Lu
Keyword(s):  
Sum Rules ◽  
Qcd Sum Rules ◽  
Scalar Mesons ◽  
Light Scalar

scholarly journals The large-Nc limit of borelized spectral sum rules and the slope of radial Regge trajectories

2018 ◽  
Vol 33 (18n19) ◽  
pp. 1850115 ◽  
Author(s):  
S. S. Afonin ◽  
T. D. Solomko
Keyword(s):  
Ground State ◽  
Sum Rules ◽  
Ground States ◽  
Phenomenological Method ◽  
Scalar Mesons ◽  
Regge Trajectories ◽  
Spectral Sum Rules ◽  
The Given ◽  
Vacuum Condensates

We put forward a new phenomenological method for calculating the slope of radial trajectories from values of ground states and vacuum condensates. The method is based on a large-[Formula: see text] extension of borelized spectral sum rules. The approach is applied to the light nonstrange vector, axial and scalar mesons. The extracted values of slopes proved to be approximately universal and are in the interval [Formula: see text] GeV2. As a by-product, the given method leads to prediction of the second radial trajectory with ground state mass lying near 0.6 GeV.

scholarly journals SCALAR NONETS IN POLE-DOMINATED QCD SUM RULES

2008 ◽  
Vol 23 (27n30) ◽  
pp. 2230-2233
Author(s):  
TORU KOJO ◽  
DAISUKE JIDO
Keyword(s):  
Operator Product Expansion ◽  
Quark Mass ◽  
Sum Rules ◽  
Operator Product ◽  
Qcd Sum Rules ◽  
Current Quark Mass ◽  
Pole Dominance ◽  
Light Scalar ◽  
Current Quark

The light scalar nonets are studied using the QCD sum rules for the tetraquark operators. The operator product expansion for the correlators is calculated up to dimension 12 and this enables us to perform analyses retaining sufficient pole-dominance. To classify the light scalar nonets, we investigate the dependence on current quark mass and flavor dynamics. Especially, to examine the latter, we study separately SU(3) singlet and octet states, and show that the number of annihilation diagrams is largely responsible for their differences, which is also the case even after the inclusion of the finite quark mass. Our results support the tetraquark picture for isosinglets, while that for octets is not conclusive yet.

scholarly journals Mixings of four-quark components in light nonsinglet scalar mesons in QCD sum rules

2007 ◽  
Vol 76 (11) ◽  
Author(s):  
J. Sugiyama ◽  
T. Nakamura ◽  
N. Ishii ◽  
T. Nishikawa ◽  
M. Oka
Keyword(s):  
Sum Rules ◽  
Qcd Sum Rules ◽  
Scalar Mesons
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