Goldberger-Treiman discrepancy
نویسندگان
چکیده
منابع مشابه
The Goldberger- Treiman Discrepancy
The GolbergerTreiman discrepancy ∆GT = 1 − mNgA fπGπN is related to the asymptotic behaviour of the pionic form factor of the nucleon obtained from baryonic QCD sum rules. The result is .015 . ∆GT . .022. The Goldberger-Treiman relation (GTR) [1] mNgA = fπGπN (1) which relates the nucleon mass mN , the axial-vector renormalization constant in β − decay gA, the πdecay constant fπ and the π − N c...
متن کاملThe Off-diagonal Goldberger-Treiman Relation and Its Discrepancy
We study the off-diagonal Goldberger-Treiman relation (ODGTR) and its discrepancy (ODGTD) in the N , ∆, π sector through O(p2) using heavy baryon chiral perturbation theory. To this order, the ODGTD and axial vector N to ∆ transition radius are determined solely by low energy constants. Loop corrections appear at O(p4). For low-energy constants of natural size, the ODGTD would be represent a ∼ ...
متن کاملOff-diagonal Goldberger-Treiman relation and its discrepancy
We study the off-diagonal Goldberger-Treiman relation ~ODGTR! and its discrepancy ~ODGTD! in the N, D , p sector through O(p2) using heavy baryon chiral perturbation theory. To this order, the ODGTD and axial vector N to D transition radius are determined solely by low-energy constants. Loop corrections appear at O(p4). For low-energy constants of natural size, the ODGTD would represent a ;2% c...
متن کاملNucleon Coupling Constant , Goldberger - Treiman Discrepancy and Πn Σ Term
We start by studying the Goldberger-Treiman discrepancy (GTd) ∆ = (2.259± 0.591)%. Then we look at the πN σ term, with the dimensionless ratio σN/2mN = 3.35%. Finally we return to predicting (via the quark model) the πN coupling constant, with GTd ∆ → 0 as mq → mN/3. PACS: 12.39.Ki, 12.39.Mk, 13.25.-k, 14.40.-n Given the recent new value of the πNN coupling constant [1] g πNN/4π = 13.80± 0.12 o...
متن کاملPion nucleon coupling constant , Goldberger - Treiman discrepancy and πN σ term
We start by studying the Goldberger-Treiman discrepancy (GTd) ∆ = (2.259± 0.591)%. Then we look at the πN σ term, with the dimensionless ratio σN/2mN = 3.35%. Finally we return to predicting (via the quark model) the πN coupling constant, with GTd ∆ → 0 as mq → mN/3. Given the recent new value of the πNN coupling constant [1] g πNN/4π = 13.80± 0.12 or gπNN = 13.169± 0.057, (1) along with the ob...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2000
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.62.036006