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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 thelight-cone QCD sum rules approach up to twist-6 three valence quark light-conedistribution amplitudes. The $f_1(0)$ is the basic input parameter inextracting 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 $g_2(Q^2)$ atintermediate and large momentum transfers with $Q^2> 3 GeV^2$ have significantcontributions from the end-point (soft) terms. The numerical values of the fourform-factors $f_1(0)$, $f_2(0)$, $g_1(0)$ and $g_2(0)$ are compatible with theexperimental data and theoretical calculations (in magnitude); although theuncertainties are large.Comment: 16 pages, 4 figures, second version, typos corrected, the article is  published in "J. Phys. G34 (2007) 493-504" not in "J. Phys. G34 (2007)  335-346

Analysis of the Σ–n form-factors with light-cone QCD sum rules