Measurements of the branching fractions of $\Xi_{c}^{0}\to\Xi^{0}\pi^{0}$, $\Xi_{c}^{0}\to\Xi^{0}\eta$, and $\Xi_{c}^{0}\to\Xi^{0}\eta^{\prime}$ and asymmetry parameter of $\Xi_{c}^{0}\to\Xi^{0}\pi^{0}$

Abstract We present a study of $\Xi_{c}^{0}\to\Xi^{0}\pi^{0}$, $\Xi_{c}^{0}\to\Xi^{0}\eta$, and $\Xi_{c}^{0}\to\Xi^{0}\eta^{\prime}$ decays using the Belle and Belle~II data samples, which have integrated luminosities of 980~$\mathrm{fb}^{-1}$ and 426~$\mathrm{fb}^{-1}$, respectively. We measure the following relative branching fractions $${\cal B}(\Xi_{c}^{0}\to\Xi^{0}\pi^{0})/{\cal B}(\Xi_{c}^{0}\to\Xi^{-}\pi^{+}) = 0.48 \pm 0.02 ({\rm stat}) \pm 0.03 ({\rm syst}) ,$$ $${\cal B}(\Xi_{c}^{0}\to\Xi^{0}\eta)/{\cal B}(\Xi_{c}^{0}\to\Xi^{-}\pi^{+}) = 0.11 \pm 0.01 ({\rm stat}) \pm 0.01 ({\rm syst}) ,$$ $${\cal B}(\Xi_{c}^{0}\to\Xi^{0}\eta^{\prime})/{\cal B}(\Xi_{c}^{0}\to\Xi^{-}\pi^{+}) = 0.08 \pm 0.02 ({\rm stat}) \pm 0.01 ({\rm syst}) $$ for the first time, where the uncertainties are statistical ($\rm stat$) and systematic ($\rm syst$). By multiplying by the branching fraction of the normalization mode, ${\mathcal B}(\Xi_{c}^{0}\to\Xi^{-}\pi^{+})$, we obtain the following absolute branching fraction results $(6.9 \pm 0.3 ({\rm stat}) \pm 0.5 ({\rm syst}) \pm 1.3 ({\rm norm})) \times 10^{-3}$, $(1.6 \pm 0.2 ({\rm stat}) \pm 0.2 ({\rm syst}) \pm 0.3 ({\rm norm})) \times 10^{-3}$, and $(1.2 \pm 0.3 ({\rm stat}) \pm 0.1 ({\rm syst}) \pm 0.2 ({\rm norm})) \times 10^{-3}$, for $\Xi_{c}^{0}$ decays to $\Xi^{0}\pi^{0}$, $\Xi^{0}\eta$, and $\Xi^{0}\eta^{\prime}$ final states, respectively. The third errors are from the uncertainty on ${\mathcal B}(\Xi_{c}^{0}\to\Xi^{-}\pi^{+})$. The asymmetry parameter for $\Xi_{c}^{0}\to\Xi^{0}\pi^{0}$ is measured to be $\alpha(\Xi_{c}^{0}\to\Xi^{0}\pi^{0}) = -0.90\pm0.15({\rm stat})\pm0.23({\rm syst})$.
Tags
Working group Charm
Principal authors @  Junxi Cui, Sen Jia, Chengping Shen
Reference JHEP 10, 045 (2024), DOI: 10.1007/JHEP10(2024)045
Document BELLE2-PUB-PH-2024-052
Links arXiv:2406.04642, Inspire, JHEP
Bibtex
@article{Belle:2024ikp,
    author = "Adachi, I. and others",
    collaboration = "Belle, Belle-II",
    title = "{Measurements of the branching fractions of $ {\Xi}_c^0\to {\Xi}^0{\pi}^0 $, $ {\Xi}_c^0\to {\Xi}^0\eta $, and $ {\Xi}_c^0\to {\Xi}^0{\eta}^{\prime } $ and asymmetry parameter of $ {\Xi}_c^0\to {\Xi}^0{\pi}^0 $}",
    eprint = "2406.04642",
    archivePrefix = "arXiv",
    primaryClass = "hep-ex",
    reportNumber = "Belle II Preprint 2024-015; KEK Preprint 2024-9",
    doi = "10.1007/JHEP10(2024)045",
    journal = "JHEP",
    volume = "10",
    pages = "045",
    year = "2024"
}