Duality and crossing symmetry of the narrow resonance model

1970 ◽  
Vol 48 (12) ◽  
pp. 1426-1429 ◽  
Author(s):  
K. Nakazawa
Keyword(s):  
Finite Energy ◽  
Complex Variables ◽  
Narrow Resonance ◽  
Veneziano Amplitude ◽  
Resonance Model ◽  
Sum Rule ◽  
Crossing Symmetry ◽  
The One

In the narrow resonance approximation, conditions of duality and crossing symmetry are derived using the finite energy sum rule for an amplitude which is completely determined as a function of two complex variables by its meromorphic part in one of these variables. As an example, the one term Veneziano amplitude is discussed.

The Absence of the Dip in Backward π+ Photoproduction Using a Narrow Resonance Model

1972 ◽  
Vol 50 (21) ◽  
pp. 2647-2653
Author(s):  
Paul Lee
Keyword(s):  
Exchange Degeneracy ◽  
Narrow Resonance ◽  
Resonance Model ◽  
Points Of View

The absence of the dip in backward π+ photoproduction is examined with both the "Nγ–Nα exchange degeneracy coupled with duality" and the "I = 3/2 dominance" points of view. A uniform combination of beta functions is employed using no arbitrary satellite terms but including parity doublets of the Nα, Nγ, and Δδ trajectories.

QCD SUM RULE APPROACH TO THE K→VACUUM WEAK AMPLITUDE

1990 ◽  
Vol 05 (06) ◽  
pp. 1071-1091
Author(s):  
M.A. AHMED ◽  
M.S. RASHEED
Keyword(s):  
Matrix Element ◽  
Sum Rules ◽  
Finite Energy ◽  
The Other ◽  
Sum Rule ◽  
Rule Approach ◽  
The Matrix

We study the kaon-to-vaccum weak matrix element using the method of the QCD duality finite energy sum rules. It is found that the matrix element in question can be expressed as a sum of two terms: one behaving like ms−md and the other like [Formula: see text]. Detailed numerical estimates are also given.

LIGHT QUARK MASSES FROM QCD SUM RULES

2013 ◽  
Vol 28 (26) ◽  
pp. 1360016 ◽  
Author(s):  
KARL SCHILCHER
Keyword(s):  
Quark Mass ◽  
Strange Quark ◽  
Sum Rules ◽  
Light Quark ◽  
Finite Energy ◽  
Qcd Sum Rules ◽  
Sum Rule ◽  
Quark Masses ◽  
Strange Quark Mass

Recent QCD sum rule determinations of the light quark masses are reviewed. In the case of the strange quark mass, possible uncertainties are discussed in the framework of finite energy sum rules.

scholarly journals PRECISE DETERMINATIONS OF THE CHARM AND BOTTOM QUARK MASSES

2013 ◽  
Vol 28 (26) ◽  
pp. 1360020 ◽  
Author(s):  
SEBASTIAN BODENSTEIN
Keyword(s):  
Large Class ◽  
Bottom Quark ◽  
Finite Energy ◽  
Total Uncertainty ◽  
Sum Rule ◽  
Quark Masses ◽  
Inverse Moment

A finite-energy sum-rule is presented that allows for the use of combinations of both positive- and inverse-moment integration kernels. The freedom afforded from being able to employ this large class of integration kernels in our sum-rule is then exploited to obtain the values of the charm and bottom masses with minimum total uncertainty. We obtain as our final results [Formula: see text] and [Formula: see text], which are amongst the most precise values of these parameters obtained by any method.

Sign in / Sign up

Export Citation Format

Share Document