Abstract
We derive QCD light-cone sum rules for the hadronic matrix elements of the
heavy baryon transitions to nucleon. In the correlation functions the
\$Łambda\_c,\Sigma\_c\$ and \$Łambda\_b\$ -baryons are interpolated by three-quark
currents and the nucleon distribution amplitudes are used. To eliminate the
contributions of negative parity heavy baryons, we combine the sum rules
obtained from different kinematical structures. The results are then less
sensitive to the choice of the interpolating current. We predict the
\$Łambda\_bp\$ form factor and calculate the widths of the \$Łambda\_b\to
p\ell\nu\_l\$ and \$Łambda\_bp \pi\$ decays. Furthermore, we consider double
dispersion relations for the same correlation functions and derive the
light-cone sum rules for the \$Łambda\_cND^(*)\$ and \$\Sigma\_cND^(*)\$ strong
couplings. Their predicted values can be used in the models of charm production
in \$pp\$ collisions.
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