Comment on the Partially Conserved Axial-Vector Current Sum Rule for the Anomalous Vertex Functions

1973 ◽  
Vol 7 (10) ◽  
pp. 3123-3126 ◽  
Author(s):  
Hidezumi Terazawa
Keyword(s):  
Axial Vector ◽  
Vector Current ◽  
Axial Vector Current ◽  
Sum Rule

scholarly journals AXIAL VECTOR CURRENT MATRIX ELEMENTS AND QCD SUM RULES

2006 ◽  
Vol 21 (25) ◽  
pp. 5099-5117 ◽  
Author(s):  
J. PASUPATHY ◽  
RITESH K. SINGH
Keyword(s):  
Matrix Element ◽  
External Field ◽  
Axial Vector ◽  
Vector Current ◽  
Axial Vector Current ◽  
Β Decay ◽  
Sum Rule ◽  
Bjorken Sum Rule ◽  
The Matrix ◽  
Hyperon Decays

The matrix element of the isoscalar axial vector current, [Formula: see text], between nucleon states is computed using the external field QCD sum rule method. The external field induced correlator, [Formula: see text], is calculated from the spectrum of the isoscalar axial vector meson states. Since it is difficult to ascertain, from QCD sum rule for hyperons, the accuracy of validity of flavor SU(3) symmetry in hyperon decays when strange quark mass is taken into account, we rely on the empirical validity of Cabbibo theory to determine the matrix element [Formula: see text] between nucleon states. Combining with our calculation of [Formula: see text] and the well-known nucleon β-decay constant allows us to determine [Formula: see text] occurring in the Bjorken sum rule. The result is in reasonable agreement with experiment. We also discuss the role of the anomaly in maintaining flavor symmetry and validity of OZI rule.

TWIST-THREE DISTRIBUTION AMPLITUDES AND OCTET CURRENT DECAY CONSTANTS OF η AND η': A QCD SUM RULE APPROACH

2009 ◽  
Vol 18 (05n06) ◽  
pp. 1318-1323
Author(s):  
J. P. SINGH
Keyword(s):  
Sum Rules ◽  
Light Quark ◽  
Axial Vector ◽  
Vector Current ◽  
Axial Vector Current ◽  
Qcd Sum Rules ◽  
Sum Rule ◽  
Decay Constants ◽  
Current Decay ◽  
Rule Approach

We investigate twist-three distribution amplitudes (DAs) of η and η' using QCD sum rules. Zeroth moments of light quark DAs of η and η' are evaluated and compared with those found in other approaches. The decay constants of the octet axial vector current in the η and η' system are also estimated.

On the conserved axial-vector current in β-decay

1964 ◽  
Vol 31 (4) ◽  
pp. 874-878 ◽  
Author(s):  
V. S. Mathur ◽  
Ravinder Nath ◽  
R. P. Saxena
Keyword(s):  
Axial Vector ◽  
Vector Current ◽  
Axial Vector Current ◽  
Β Decay
Sign in / Sign up

Export Citation Format

Share Document