In the recent years, fruitful results on charmed baryons are obtained by BESIII, Belle and LHCb. We investigate the two-body non-leptonic decays of charmed baryons based on the exact flavor $SU(3)$ symmetry without any other approximation. Hundreds of amplitude relations are clearly provided, and are classified according to the I-, U- and V-spin symmetries. Among them, some amplitude relations are tested by the experimental data, or used to predict the branching fractions based on the exact flavor symmetry without any other approximation. Some relations of $K_S^0-K_L^0$ asymmetries and CP asymmetries are obtained under the U-spin symmetry in the modes of charmed baryon decaying into neutral kaons. Besides, the U-spin breaking effect is explored in the ${\mathrm{\Lambda }}_c^{+}\to {\mathrm{\Sigma }}^{+}{K}^{⁎0}$ and ${\mathrm{\Xi }}_c^{+}\to p{\bar{K}}^{⁎0}$ modes.

近年来，BESIII，Belle和LHCb在迷人的重子上取得了丰硕的成果。我们根据确切的风味研究了迷人的重子的两体非轻子衰变$\mathrm{小号}ü（3）$没有任何其他近似的对称性。清楚地提供了数百个振幅关系，并根据I-，U-和V-自旋对称性进行了分类。其中，一些幅度关系通过实验数据进行测试，或用于基于精确的风味对称性来预测分支分数，而无需任何其他近似方法。的一些关系${ķ}_{\mathrm{小号}}^0-{ķ}_{\mathrm{大号}}^0$不对称和CP不对称是在U型自旋对称下以有魅力的重子衰减成中性kaon的方式获得的。此外，ü -spin破碎效果的探讨${\mathrm{\Lambda }}_C^{+}\to {\mathrm{\Sigma }}^{+}{ķ}^{⁎0}$ 和 ${\mathrm{\Xi }}_C^{+}\to p{\stackrel{〜}{ķ}}^{⁎0}$ 模式。