Hidden strangeness in meson weak decays to baryon pair

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Main Authors: Geng, Chao-Qiang, Jin, Xiang-Nan, Liu, Chia-Wei, Yu, Xiao
Format: Preprint
Published: 2024
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author Geng, Chao-Qiang
Jin, Xiang-Nan
Liu, Chia-Wei
Yu, Xiao
author_facet Geng, Chao-Qiang
Jin, Xiang-Nan
Liu, Chia-Wei
Yu, Xiao
contents Our study focuses on the weak decay of $ D_s^+ \to p \overline{n} $, which is the only possible two-body baryonic decay in the $ D $ meson system. An analysis using perturbative quantum chromodynamics (pQCD) is challenging in this decay due to the small amount of energy released. In particular, naive factorization, suppressed by the light quark masses, results in a minor contribution to this channel. In the framework of final state interactions, the hidden strangeness in the intermediate state naturally avoids this chiral suppression from light quark masses. The branching fraction is predicted to be $ {\cal B}(D_s^+ \to p\overline{n}) = (1.43 \pm 0.10) \times 10^{-3} $, in agreement with the experimental value of $ (1.22 \pm 0.11) \times 10^{-3} $. We also analyze the decays of $ B $ mesons into two charmed baryons involving annihilation-type topological diagrams. In these decays, we conduct a joint analysis of naive factorization and final state interactions. Using the experimental upper bound of $ {\cal B}(B_s^0 \to Λ_c^+ \overlineΛ_c^-) < 8 \times 10^{-5} $, we set a constraint on the coupling constant $ g_{D^+ Λ_c^+ n} < 7.5 $. Final state interactions lead to a prediction of the decay parameter $ γ(B_s^0 \to Λ_c^+ \overlineΛ_c^-) > 0.8 $, whereas pQCD predicts it to be negative. We propose future measurements of $ B^0 \to Ξ_c^+ \overlineΞ_c^- $, predicting a significant $ SU(3)_F $ breaking effect with $ \frac{{\cal B}(B^0 \to Ξ_c^+ \overlineΞ_c^-)}{{\cal B}(B_s^0 \to Λ_c^+ \overlineΛ_c^-)} = 1.4\% $, contrary to the naive estimate of $ 5.3\% $. We strongly recommend future measurements.
format Preprint
id arxiv_https___arxiv_org_abs_2409_11374
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hidden strangeness in meson weak decays to baryon pair
Geng, Chao-Qiang
Jin, Xiang-Nan
Liu, Chia-Wei
Yu, Xiao
High Energy Physics - Phenomenology
High Energy Physics - Experiment
Our study focuses on the weak decay of $ D_s^+ \to p \overline{n} $, which is the only possible two-body baryonic decay in the $ D $ meson system. An analysis using perturbative quantum chromodynamics (pQCD) is challenging in this decay due to the small amount of energy released. In particular, naive factorization, suppressed by the light quark masses, results in a minor contribution to this channel. In the framework of final state interactions, the hidden strangeness in the intermediate state naturally avoids this chiral suppression from light quark masses. The branching fraction is predicted to be $ {\cal B}(D_s^+ \to p\overline{n}) = (1.43 \pm 0.10) \times 10^{-3} $, in agreement with the experimental value of $ (1.22 \pm 0.11) \times 10^{-3} $. We also analyze the decays of $ B $ mesons into two charmed baryons involving annihilation-type topological diagrams. In these decays, we conduct a joint analysis of naive factorization and final state interactions. Using the experimental upper bound of $ {\cal B}(B_s^0 \to Λ_c^+ \overlineΛ_c^-) < 8 \times 10^{-5} $, we set a constraint on the coupling constant $ g_{D^+ Λ_c^+ n} < 7.5 $. Final state interactions lead to a prediction of the decay parameter $ γ(B_s^0 \to Λ_c^+ \overlineΛ_c^-) > 0.8 $, whereas pQCD predicts it to be negative. We propose future measurements of $ B^0 \to Ξ_c^+ \overlineΞ_c^- $, predicting a significant $ SU(3)_F $ breaking effect with $ \frac{{\cal B}(B^0 \to Ξ_c^+ \overlineΞ_c^-)}{{\cal B}(B_s^0 \to Λ_c^+ \overlineΛ_c^-)} = 1.4\% $, contrary to the naive estimate of $ 5.3\% $. We strongly recommend future measurements.
title Hidden strangeness in meson weak decays to baryon pair
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2409.11374