Ao-Wen Zhou | Searcharxiv

arXiv2024

Categorizing $SU(3)_f$ representations of scalar mesons by $J/ψ$ decays

The scalar mesons are established for a long time, but their nature is still an open question. In this paper, we investigate the potential of categorizing their $SU(3)_f$ representations via $J/ψ\to SV$ and $γS$, offering a criterion that may illuminate this issue. Here, $S$ ($V$) denotes scalar (vector) mesons. Using the $SU(3)_f$ symmetry with the current data, we find that $f_0(500)$ and $f_0(980)$ are mostly made of singlet and octet $SU(3)_f$ representations, respectively, with the singlet-octet mixing angle of $θ= (82.9\pm4.4)^{\circ}$. This conclusion is consistent with the caculations of the quark-antiquark ($q\bar{q}$) hypothesis. For the scalar mesons in the range of 1-2 GeV, we discuss the mixings between $q\bar{q}$ and glueballs. Our numerical results suggest that $f_0(1710)$ is likely composed of the scalar glueball. We urge our experimental colleagues to measure $J/ψ\to ρa_0(980,\ 1450,\ 1710), $ $ K^*(892)^{\pm} K^*(700,\ 1430,\ 1950)^{\mp}$ and $ωf_0(500)$, which provide useful information in the $SU(3)_f$ analysis.

hep-ph↗

arXiv2022

Semileptonic decays of doubly charmed baryons with $Ξ_c-Ξ_c'$ mixing

We study the $Ξ_c- Ξ_c'$ mixing effects in the semileptonic decays the doubly charm baryons of $Ξ_{cc}$. We focus on the ratio of ${\cal R}(θ_c) \equiv {\cal B}( Ξ_{cc} \to Ξ_c' e^+ ν_e)/ {\cal B}( Ξ_{cc} \to Ξ_c e^+ ν_e) $ and find that $({\cal R}(θ_0),{\cal R}(- θ_0)) =(0.46 \pm 0.01,7.33 \pm 0.23)$ with $θ_0 = 0.137π$, which are in sharp contrast to ${\cal R}(0)=2.15\pm0.11$ without the mixing. The ratio is enhanced~(suppressed) by a factor of four for a negative~(positive) $θ_c$. In addition, the polarization asymmetries of $Ξ_c^{(\prime)}$ are found to be $α(-θ_0) = 0.32 ~(-0.76)$ and $α(θ_0) = -0.82~(-0.38)$. As ${\cal R}$ and $α$ are highly sensitive to $θ_c$ and unaffected by the $W$-exchange contributions, they provide excellent opportunities to determine $θ_c$ in the ongoing experiments.

hep-ph↗