Semileptonic decays of doubly charmed baryons with Ξc−Ξc′ mixing

We study the Ξc−Ξc′ mixing effects in the semileptonic decays the doubly charm baryons of Ξcc. We focus on the ratio of R(θc)≡B(Ξcc→Ξc′e+νe)/B(Ξcc→Ξce+νe) and find that (R(θ0),R(−θ0))=(0.46±0.01,7.33±0.23) with θ0=0.137π, which are in sharp contrast to R(0)=2.15±0.11 without the mixing. The ratio is enhanced (suppressed) by a factor of four for a negative (positive) θc. In addition, the polarization asymmetries of Ξc(′) are found to be α(−θ0)=0.32(−0.76) and α(θ0)=−0.82(−0.38). As R and α are highly sensitive to θc and unaffected by the W-exchange contributions, they provide excellent opportunities to determine θc in the ongoing experiments.