Measurements of $K_S^0$-$K_L^0$ asymmetries in the decays $Λ_c^+ \to pK_{L,S}^0$, $pK_{L,S}^0π^+π^-$ and $pK_{L,S}^0π^0$

Abstract: Using $e<sup>+e<sup>-$ annihilation data sets corresponding to an integrated luminosity of 4.5 $\text{fb}<sup>{-1}$, collected with the BESIII detector at center-of-mass energies between 4.600 and 4.699 GeV, we report the first measurements of the absolute branching fractions $$\mathcal{B}(\Lambda_c^+\to pK_{L}^{0})=(1.67 \pm 0.06 \pm 0. 04)\%$$, $$\mathcal{B}(\Lambda_c^+\to pK_{L}^{{0}\pi^{+\pi^-)=(1.69}} \pm 0.10 \pm 0.05)\%$$, and $$\mathcal{B}(\Lambda_c^+\to pK_{L}^{{0}\pi^0)=(2.02} \pm 0.13 \pm 0.05)\%$$, where the first uncertainties are statistical and the second systematic. Combining with the known branching fractions of $\Lambda_c⁺ \to pK_{S}<sup>{0}$, $$\Lambda_c⁺ \to pK_{S}<sup>{0}\pi<sup>+\pi<sup>-$$, and $\Lambda_c⁺ \to pK_{S}<sup>{0}\pi<sup>0$, we present the first measurements of the $K_{S}<sup>{0}$-$K_{L}<sup>{0}$ asymmetries $$R(\Lambda_c^+, K_{S,L}^0X) = \frac{\mathcal{B}(\Lambda_c⁺ \to K_{S}^{0} X) - \mathcal{B}(\Lambda_c⁺ \to K_{L}^{0} X)}{\mathcal{B}(\Lambda_c⁺ \to K_{S}^{0} X) + \mathcal{B}(\Lambda_c⁺ \to K_{L}^{0} X)}$$ in charmed baryon decays: $$R(\Lambda_c^+, pK_{S,L}⁰⁾ = -0.025 \pm 0.031$$, $$R(\Lambda_c^+, pK_{S,L}^{0\pi^{+\pi^-)}} = -0.027 \pm 0.048$$, and $$R(\Lambda_c^+, pK_{S,L}^0\pi⁰⁾ =-0.015 \pm 0.046$$. No significant asymmetries within the uncertainties are observed.