Isospin Breaking in the Nucleon Isovector Axial Charge from QCD Sum Rules

Details Isospin Breaking in the Nucleon Isovector Axial Charge from QCD Sum Rules Isospin Breaking in the Nucleon Isovector Axial Charge from QCD Sum Rules

1996-02-13

arxiv.org/abs/hep-ph/9602298v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages in RevTeX including one PS figure, uses epsf.sty and rotate.sty (included), uuencoded

Scientific paper

The isospin breaking in the nucleon isovector axial charge, $g_A^3$, are calculated within the external field QCD sum-rule approach. The isospin violations arising from the difference in up and down current quark masses and in up and down quark condensates are included; electromagnetic effects are not considered. We find $\delta g^3_A/g^3_A \approx (0.5-1.0)\times 10^{-2}$, where $\delta g^3_A = (g^3_A)_p + (g^3_A)_n$ and $ g^3_A = [(g^3_A)_p - (g^3_A)_n]/2$. Using the Goldberger-Treiman relation, we also obtain an estimate of the isospin breaking in the pion-nucleon coupling constant, $(g_{pp\pi_0}-g_{nn\pi_0})/g_{NN\pi} \approx (2-7) \times 10^{-3}$.

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