Mixing-angle sensitivity of inclusive $Ξ_{bc} $ and Ω_bc lifetimes

Abstract

We study the inclusive lifetimes of Ξ_bc⁺, Ξ_bc⁰, and Ω_bc⁰, 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^∘ for Ξ_bc and −23.5^∘ for Ω_bc, the corresponding lifetime triplets are (τ_{Ξ_bc⁺},τ_{Ξ_bc⁰},τ_{Ω_bc⁰})=(0.421^+0.093_−0.093,0.075^+0.035_−0.010,0.223^+0.074_−0.043) ps in the HBM and (τ_{Ξ_bc⁺},τ_{Ξ_bc⁰},τ_{Ω_bc⁰})=(0.367^+0.076_−0.070,0.100^+0.032_−0.014,0.229^+0.066_−0.042) ps in the NRQM. Relative to the unmixed spin-one reference points, the Ξ_bc⁰ and Ω_bc⁰ 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 |ϕ_ℬ|≃27^∘-63^∘. The two pure-spin limits alone are therefore insufficient to characterize the full mixing-angle dependence.

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BibTeX RIS

BibTeX

@misc{cheng2026mixingangle,
  title = {{Mixing-angle sensitivity of inclusive $Ξ_bc $ and $Ω_bc$ lifetimes}},
  author = {Hai-Yang Cheng and Chia-Wei Liu and Fanrong Xu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00660},
  eprint = {2609.00660},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00660},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - Mixing-angle sensitivity of inclusive $Ξ_{bc} $ and Ω_bc lifetimes
AU  - Hai-Yang Cheng
AU  - Chia-Wei Liu
AU  - Fanrong Xu
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00660
UR  - https://arxiv.org/abs/2609.00660
AB  - 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^∘ for Ξ_bc and −23.5^∘ for Ω_bc, the corresponding lifetime triplets are (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 in the HBM and (τ_Ξ_bc^+,τ_Ξ_bc^0,τ_Ω_bc^0)=(0.367^+0.076_−0.070,0.100^+0.032_−0.014,0.229^+0.066_−0.042) 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 |ϕ_ℬ|≃27^∘-63^∘. The two pure-spin limits alone are therefore insufficient to characterize the full mixing-angle dependence.
ER  -

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