THE CALCULATION OF THE ELECTROMAGNETIC π+−π0 MASS DIFFERENCE WITHIN QCD

1992 ◽  
Vol 07 (26) ◽  
pp. 6523-6535 ◽  
Author(s):  
A.A. PIVOVAROV
Keyword(s):  
Reasonable Agreement ◽  
Sum Rules ◽  
Chiral Limit ◽  
Mass Difference ◽  
Electromagnetic Mass ◽  
Qcd Sum Rules ◽  
K Mesons

The electromagnetic π+−π0 mass difference is calculated with QCD sum rules technique in the chiral limit. The obtained result Δmπ=4.4±1.1 MeV is in reasonable agreement with the experimental value (Δmπ)exp=4.43±0.03 MeV. The developed technique can be also applied to the determination of the electromagnetic mass difference of K mesons.

THE ELECTROMAGNETIC MASS DIFFERENCE OF PIONS FROM QCD

1990 ◽  
Vol 05 (04) ◽  
pp. 747-753 ◽  
Author(s):  
M. MARGVELASHVILI
Keyword(s):  
Current Algebra ◽  
Sum Rules ◽  
Mass Difference ◽  
Electromagnetic Mass ◽  
Vacuum Condensate ◽  
Qcd Sum Rules ◽  
Standard Value ◽  
Good Agreement

It is shown that the two point functions of definite class can be calculated, at small spacelike momenta, as subtraction constants in the Borel transformed QCD sum rules. Using the results of current algebra and PCAC, we obtain three different sum rules for determination of the electromagnetic mass difference of pions. The result is in a good agreement with experiment, and confirms the standard value for the four-quark vacuum condensate.

scholarly journals Calculation of 〈p‖u¯u-d¯d‖p〉 from QCD sum rules and the neutron-proton mass difference

1995 ◽  
Vol 51 (7) ◽  
pp. 3688-3696 ◽  
Author(s):  
Xuemin Jin ◽  
Marina Nielsen ◽  
J. Pasupathy
Keyword(s):  
Sum Rules ◽  
Mass Difference ◽  
Qcd Sum Rules ◽  
Proton Mass

scholarly journals DETERMINATION OF LIGHT QUARK MASSES IN QCD

2010 ◽  
Vol 25 (29) ◽  
pp. 5223-5234 ◽  
Author(s):  
C. A. DOMINGUEZ
Keyword(s):  
Strange Quark ◽  
Sum Rules ◽  
Standard Procedure ◽  
Light Quark ◽  
Qcd Sum Rules ◽  
Quark Masses ◽  
Systematic Uncertainties ◽  
Better Than ◽  
The Ideal

The standard procedure to determine (analytically) the values of the quark masses is to relate QCD two-point functions to experimental data in the framework of QCD sum rules. In the case of the light quark sector, the ideal Green function is the pseudoscalar correlator which involves the quark masses as an overall multiplicative factor. For the past thirty years this method has been affected by systematic uncertainties originating in the hadronic resonance sector, thus limiting the accuracy of the results. Recently, a major breakthrough has been made allowing for a considerable reduction of these systematic uncertainties and leading to light quark masses accurate to better than 8%. This procedure will be described in this talk for the up-, down-, strange-quark masses, after a general introduction to the method of QCD sum rules.

Sum rules and the electromagnetic mass difference of pions

1968 ◽  
Vol 5 (1) ◽  
pp. 140-146 ◽  
Author(s):  
C.L. Cook ◽  
L.E. Evans ◽  
M.Y. Han ◽  
N.R. Lipshutz ◽  
N. Straumann
Keyword(s):  
Sum Rules ◽  
Mass Difference ◽  
Electromagnetic Mass

scholarly journals Determination of the Σ-Λ mixing angle from QCD sum rules

2016 ◽  
Vol 2016 (8) ◽  
Author(s):  
T. M. Aliev ◽  
T. Barakat ◽  
M. Savcı
Keyword(s):  
Sum Rules ◽  
Qcd Sum Rules ◽  
Mixing Angle

scholarly journals Strong Coupling Constants of Negative Parity Heavy Baryons with π and K Mesons

2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
T. M. Aliev ◽  
S. Bilmis ◽  
M. Savci
Keyword(s):  
Strong Coupling ◽  
Light Cone ◽  
Sum Rules ◽  
Negative Parity ◽  
Coupling Constants ◽  
Positive Parity ◽  
Qcd Sum Rules ◽  
Heavy Baryons ◽  
K Mesons

The strong coupling constants of negative parity heavy baryons belonging to sextet and antitriplet representations of SUf(3) with light π and K mesons are estimated within the light cone QCD sum rules. It is observed that each class of the sextet-sextet, sextet-antitriplet, and antitriplet-antitriplet transitions can be described by only one corresponding function. The pollution arising from the positive to positive, positive to negative, and negative to positive parity baryons transitions is eliminated by constructing sum rules for different Lorentz structures. The obtained coupling constants are compared with the ones for the positive parity heavy baryons.

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