Up-down asymmetries of charmed baryon three-body decays

Abstract

We study the up-down asymmetries in the three-body anti-triplet charmed baryon decays of \[\mathbf{B}_{\mathbf{c}}\rightarrow \mathbf{B}_{\mathbf{n}}MM' \] with the \[SU(3)_f\] flavor symmetry, where \[\mathbf{B}_{\mathbf{c}}\] presents the anti-triplet charmed baryon of \[(\Xi _c^0,-\Xi _c^+,\Lambda _c^+)\], while \[\mathbf{B}_{\mathbf{n}}\] and \[M^{(')}\] denote octet baryon and meson states, respectively. By assuming the s-wave meson-pairs to be the dominant constituents in final state configurations, we can write the spin-dependent decay amplitude into parity-conserving and parity-violating parts, parametrized by 6 real parameters under \[SU(3)_f\], respectively. Fitting these parameters by 16 experimental data points with the minimum \[\chi ^2\] method, we obtain that \[\chi ^2/d.o.f=2.4\]. With the fitted parameters, we evaluate the up-down asymmetries along with the decay branching ratios of \[\mathbf{B}_{\mathbf{c}}\rightarrow \mathbf{B}_{\mathbf{n}}MM' \]. Some of these up-down asymmetries are accessible to the experiments at BESIII, BELLE-II and LHCb.