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 ${\\bf B_c}\\to{\\bf B_n}MM $ with the $SU(3)_f$ flavor symmetry, where ${\\bf B_c}$ presents the anti-triplet charmed baryon of $(\\Xi_c^0,-\\Xi_c^+,\\Lambda_c^+)$, while ${\\bf B_n}$ 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 $\\chi^2/d.o.f=2.4$, which a reasonable fit. With the fitted parameters, we evaluate the up-down asymmetries along with the decay branching ratios of ${\\bf B_c}\\to{\\bf B_n}MM $. Some of these up-down asymmetries are accessible to the experiments at BESIII, BELLE-II and LHCb.