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We present the first observation of the singly Cabibbo-suppressed decay Λ+𝑐→Λ𝐾+𝜋0 with a significance of 5.7𝜎 and the first evidence of Λ+𝑐→Λ𝐾+𝜋+𝜋− decay with a significance of 3.1𝜎, based on 𝑒+𝑒−annihilation data recorded by the BESIII detector at the BEPCII collider. The data correspond to an integrated luminosity of 6.4 fb−1, in the center-of-mass energy range from 4.600 to 4.950 GeV. We determine the branching fractions of Λ+𝑐→Λ𝐾+𝜋0 and Λ+𝑐→Λ𝐾+𝜋+𝜋− relative to their Cabibbo-favored counterparts to be ℬ(Λ+𝑐→Λ𝐾+𝜋0)ℬ(Λ+𝑐→Λ𝜋+𝜋0) = (2.09±0.39stat±0.07syst)×10−2 and ℬ(Λ+𝑐→Λ𝐾+𝜋+𝜋−)ℬ(Λ+𝑐→Λ𝜋+𝜋+𝜋−) = (1.13±0.41stat±0.06syst)×10−2, respectively. Moreover, by combining our measured result with the world average of ℬ(Λ+𝑐→Λ𝜋+𝜋0), we obtain the branching fraction ℬ(Λ+𝑐→Λ𝐾+𝜋0) = (1.49±0.27stat±0.05syst±0.08ref)×10−3. This result significantly departs from theoretical predictions based on quark 𝑆𝑈(3) flavor symmetry, which is underpinned by the presumption of meson pair 𝑆-wave amplitude dominance.
Using data samples with an integrated luminosity of 22.42 fb−1 collected by the BESIII detector operating at the BEPCII storage ring, we measure the cross sections of the 𝑒+𝑒−→𝜂𝐽/𝜓 process at center-of-mass energies from 3.808 to 4.951 GeV. Three structures are observed in the line shape of the measured cross sections. A maximum-likelihood fit with 𝜓(4040), two additional resonances, and a nonresonant component are performed. The mass and width of the first additional state are (4219.7±2.5±4.5) MeV/𝑐2 and (80.7±4.4±1.4) MeV, respectively, consistent with the 𝜓(4230). For the second state, the mass and width are (4386±13±17) MeV/𝑐2 and (177±32±13) MeV, respectively, consistent with the 𝜓(4360). The first uncertainties are statistical, and the second ones are systematic. The statistical significance of 𝜓(4040) is 8.0𝜎 and those for 𝜓(4230) and 𝜓(4360) are more than 10.0𝜎.