AI 中文总结
该研究计算两种模型下Ξ_{bc}和Ω_{bc}的寿命，发现其寿命对混合角敏感，极值出现在非纯自旋的混合角处，纯自旋极限无法完整描述其混合角依赖关系。
AI 中文摘要
我们研究Ξ_{bc}^{+}、Ξ_{bc}^{0}和Ω_{bc}^{0}的 inclusive 寿命，重点关注自旋为0与自旋为1的bc双夸克构型之间的混合。相关强子矩阵元在均匀袋模型（HBM）和非相对论夸克模型（NRQM）中均被计算。在Ξ_{bc}的基准混合角为-23.0°、Ω_{bc}的基准混合角为-23.5°时，均匀袋模型（HBM）给出的对应寿命三重态为（τ_{Ξ_{bc}^{+}},τ_{Ξ_{bc}^{0}},τ_{Ω_{bc}^{0}}）=（0.421^{+0.093}_{-0.093},0.075^{+0.035}_{-0.010},0.223^{+0.074}_{-0.043}）ps，非相对论夸克模型（NRQM）给出的结果为（0.367^{+0.076}_{-0.070},0.100^{+0.032}_{-0.014},0.229^{+0.066}_{-0.042}）ps。相对于未混合的自旋1参考点，Ξ_{bc}^{0}和Ω_{bc}^{0}的寿命降低了约17%-19%。中心寿命曲线的最小值和最大值均不出现于纯S_{bc}=0或S_{bc}=1构型，极值反而位于|φ_{B}|≈27°-63°的混合角处，因此仅两个纯自旋极限不足以表征完整的混合角依赖性。
英文摘要
We study the inclusive lifetimes of $Ξ_{bc}^{+}$, $Ξ_{bc}^{0}$, and $Ω_{bc}^{0}$, with emphasis on the mixing between the spin-zero and spin-one $bc$-diquark configurations. The relevant hadronic matrix elements are evaluated in both the homogeneous bag model (HBM) and the nonrelativistic quark model (NRQM). At the benchmark mixing angles of $-23.0^\circ$ for $Ξ_{bc}$ and $-23.5^\circ$ for $Ω_{bc}$, the corresponding lifetime triplets are $\left(τ_{Ξ_{bc}^{+}},τ_{Ξ_{bc}^{0}},τ_{Ω_{bc}^{0}}\right)=\left(0.421^{+0.093}_{-0.093},0.075^{+0.035}_{-0.010},0.223^{+0.074}_{-0.043}\right)\,\mathrm{ps}$ in the HBM and $\left(τ_{Ξ_{bc}^{+}},τ_{Ξ_{bc}^{0}},τ_{Ω_{bc}^{0}}\right)=\left(0.367^{+0.076}_{-0.070},0.100^{+0.032}_{-0.014},0.229^{+0.066}_{-0.042}\right)\,\mathrm{ps}$ in the NRQM. Relative to the unmixed spin-one reference points, the $Ξ_{bc}^{0}$ and $Ω_{bc}^{0}$ lifetimes decrease by approximately $17\%$-$19\%$. Neither the minimum nor the maximum of the central lifetime curves occurs at a pure $S_{bc}=0$ or $S_{bc}=1$ configuration; the extrema instead lie at mixed angles with $\left|ϕ_{\mathcal{B}}\right|\simeq27^\circ$-$63^\circ$. The two pure-spin limits alone are therefore insufficient to characterize the full mixing-angle dependence.
Comments20 pages, 5 figures
