Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-09-16
J.Phys. G34 (2007) 493-504
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, 4 figures, second version, typos corrected, the article is published in "J. Phys. G34 (2007) 493-504" not in "J. Phy
Scientific paper
10.1088/0954-3899/34/3/007
In this work, we study the four form-factors $f_1(Q^2)$, $f_2(Q^2)$, $g_1(Q^2)$ and $g_2(Q^2)$ of the $\Sigma \to n$ in the framework of the light-cone QCD sum rules approach up to twist-6 three valence quark light-cone distribution amplitudes. The $f_1(0)$ is the basic input parameter in extracting the CKM matrix element $|V_{us}|$ from the hyperon decays. The four form-factors $f_1(Q^2)$, $f_2(Q^2)$, $g_1(Q^2)$ and $g_2(Q^2)$ at intermediate and large momentum transfers with $Q^2> 3 GeV^2$ have significant contributions from the end-point (soft) terms. The numerical values of the four form-factors $f_1(0)$, $f_2(0)$, $g_1(0)$ and $g_2(0)$ are compatible with the experimental data and theoretical calculations (in magnitude); although the uncertainties are large.
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