A novel method for searching the ${\Xi }_c^{0/+}$-${\Xi }_c^{\prime 0/+}$ mixing effect in the angular distribution analysis of a four-body ${\Xi }_c^{0/+}$ decay

Abstract

In this work, we raised a novel method for searching the ${\Xi }_c^{0+}$-${\Xi }_c^{0+\prime }$ mixing effect in an angular distribution analysis of the ${\Xi }_c\to {\Xi }^{(\prime )}(\Lambda \pi ){\ell }^{+}\nu$ decay, where the mixing effect can be observed by the appearance of the ${\Xi }^{\prime }$ resonant. Armed with this angular distribution, the decay branching fraction and the forward-backward asymmetry are predicted. We pointed out that the forward-backward asymmetry, as a function of the invariant mass square of ${\Xi }^{(\prime )}$ and the ${\Xi }_c^{0+}$-${\Xi }_c^{0+\prime }$ mixing angle ${\theta }_c$, can be used to distinguish the two resonants ${\Xi }^{(\prime )}$ and even provide a possibility to determine the exact mixing angle.

arXiv comment7 pages, 3 figures

References in corpus (24)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• Constraint on the Matter-Antimatter Symmetry-Violating Phase in Neutrino Oscillations
• Test of lepton universality in beauty-quark decays
• Measurement of electron antineutrino oscillation with 1958 days of operation at Daya Bay
• Measurement of $\mathcal{R}(D)$ and $\mathcal{R}(D^{\ast })$ with a semileptonic tagging method
• Charmed Baryon Weak Decays with SU(3) Flavor Symmetry
• Light cone QCD sum rules study of the semileptonic heavy ${\Xi }_Q$ and ${\Xi }_Q^{\prime }$ transitions to $\Xi$ and $\Sigma$ baryons
• First Lattice QCD determination of semileptonic decays of charmed-strange baryons ${\Xi }_c$
• Measurements of the branching fractions of the semileptonic decays ${\Xi }_c^0\to {\Xi }^{-}{\ell }^{+}{\nu }_{\ell }$ and the asymmetry parameter of ${\Xi }_c^0\to {\Xi }^{-}{\pi }^{+}$
• Charmed ${\Omega }_c$ weak decays into $\Omega$ in the light-front quark model
• Measurement of the cross sections of ${\Xi }_{\mathrm{c}}^0$ and ${\Xi }_{\mathrm{c}}^{+}$ baryons and branching-fraction ratio BR(${\Xi }_{\mathrm{c}}^0\to {\Xi }^{-}{\mathrm{e}}^{+}{\nu }_{\mathrm{e}}$)/BR(${\Xi }_{\mathrm{c}}^0\to {\Xi }^{-}{\pi }^{+}$) in pp collisions at 13 TeV
• Weak Decays of Antitriplet Charmed Baryons from the Perspective of Flavor Symmetry
• Measurements of the branching fractions of ${\Lambda }_c^{+}\to p\eta$ and ${\Lambda }_c^{+}\to p{\pi }^0$ decays at Belle
• Observation of the Singly Cabibbo-Suppressed Decay ${\Lambda }_c^{+}\to n{\pi }^{+}$
• Testing SU(3) Flavor Symmetry in Semileptonic and Two-body Nonleptonic Decays of Hyperons
• Angular Distributions for Multi-body Semileptonic Charmed Baryon Decays
• First Observation of the Semileptonic Decay ${\Lambda }_c^{+}\to p{K}^{-}{e}^{+}{\nu }_e$
• Semileptonic ${\Xi }_c$ baryon decays in the light cone QCD sum rules
• Nonleptonic decays of ${\Xi }_{cc}\to {\Xi }_c\pi$ with ${\Xi }_c-{\Xi }_c^{\prime }$ mixing
• Semileptonic decays of doubly charmed baryons with ${\Xi }_c-{\Xi }_c^{\prime }$ mixing
• First Measurement of the ${\Lambda }_c^{+}\to p{\eta }^{\prime }$ decay
• SU(3) symmetry and its breaking effects in semileptonic heavy baryon decays

Cited by in corpus (3)

• ${\Xi }_c-{\Xi }_c^{\prime }$ mixing From Lattice QCD
• Improved method to determine the ${\Xi }_c-{\Xi }_c^{\prime }$ mixing
• Baryonic heavy-to-light form factors induced by tensor current in light-front approach