Two-component sigma-model and modified Goldberger-Treiman relation
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 کاملThe pion nucleon coupling constant and the Goldberger-Treiman Relation
The latest πN elastic scattering data are re-analysed to determine the coupling constant gc of the charged pion, using the dispersion relation for the invariant amplitude B(+). Depending on the choice of data-base, values g2 c/4π = 13.80 to 13.65 are obtained with errors of ±0.12. We re-examine the well known discrepancy with the Goldberger-Treiman relation. After allowing for the mass dependen...
متن کاملGoldberger–Treiman Relation and gπNN from the Three Quark BS/Faddeev Approach in the NJL Model
A systematic evaluation method of matrix elements of quantum one-body operators between nucleon states in the three-quark Bethe-Salpeter(3qBS)/Faddeev approach in the NJL model is reviewed. We do not confine ourselves to a particular truncation scheme of the 3qBS kernel. One of our main aims is to derive a general condition to be imposed on a given BS kernel in order that the PCAC relation is s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Il Nuovo Cimento A
سال: 1979
ISSN: 0369-3546,1826-9869
DOI: 10.1007/bf02902176