Light-cone sum rules analysis of $$\Xi _{QQ^{\prime }}\rightarrow \Sigma _{Q^{\prime }}$$ weak decays
Xiao-Hui Hu, Yu-Ji Shi
Abstract
Abstract As a continuation of our previous work, we investigate the weak decays of doubly-heavy baryons $$\Xi _{QQ^{\prime }}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>Ξ</mml:mi><mml:mrow><mml:mi>Q</mml:mi><mml:msup><mml:mi>Q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:msub></mml:math> into sextet $$\Sigma _{Q^{\prime }}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>Σ</mml:mi><mml:msup><mml:mi>Q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:msub></mml:math> with light-cone sum rules. We calculate the form factors for these decays with the parallel light-cone distribution amplitudes of $$\Sigma _{Q^{\prime }}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>Σ</mml:mi><mml:msup><mml:mi>Q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:msub></mml:math> . Numerical results of these form factors are used to predict the decay widths and branching ratios of the corresponding semi-leptonic processes. Parametric uncertainties and theoretical analyses are also given in detail. We find that the decay widths of $$\Xi _{cc}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>Ξ</mml:mi><mml:mrow><mml:mi>cc</mml:mi></mml:mrow></mml:msub></mml:math> and $$\Xi _{bc}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>Ξ</mml:mi><mml:mrow><mml:mi>bc</mml:mi></mml:mrow></mml:msub></mml:math> decays are several orders of magnitude larger than those of $$\Xi _{bb}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>Ξ</mml:mi><mml:mrow><mml:mi>bb</mml:mi></mml:mrow></mml:msub></mml:math> decays.