Mixing-angle sensitivity of inclusive Ξbc and Ωbc lifetimes

A bstract We study the inclusive lifetimes of Ξbc⁺ Ξ bc + , Ξbc⁰ Ξ bc 0 , and bc⁰ Ω bc 0 with emphasis on the mixing between the spin-zero and spin-one bc -diquark configurations. The matrix elements are evaluated in both the homogeneous bag model (HBM) and the nonrelativistic quark model (NRQM). At the benchmark mixing angles −23.0 ° for Ξ bc and −23.5 ° for Ω bc , the corresponding lifetime triplets are $$ ({τ}_{Ξbc⁺},{τ}_{Ξbc^0},{τ}_{Ωbc^0})=({0.421}-0.093-0.014+0.098+0.007,{0.075}-0.017-0.001+0.035+0.004,{0.223}-0.046-0.012+0.074+0.018)ps $$ τ Ξ bc + τ Ξ bc 0 τ Ω bc 0 = 0.421 − 0.093 − 0.014 + 0.098 + 0.007 0.075 − 0.017 − 0.001 + 0.035 + 0.004 0.223 − 0.046 − 0.012 + 0.074 + 0.018 ps in HBM and $$ ({τ}_{Ξbc⁺},{τ}_{Ξbc^0},{τ}_{Ωbc^0})=({0.367}-0.070-0.005+0.076+0.001,{0.100}-0.014-0.001+0.032+0.006,{0.229}-0.042-0.011+0.066+0.017)ps $$ τ Ξ bc + τ Ξ bc 0 τ Ω bc 0 = 0.367 − 0.070 − 0.005 + 0.076 + 0.001 0.100 − 0.014 − 0.001 + 0.032