Partial wave analysis of the charmed baryon hadronic decay $Λ_c^+\toΛπ^+π^0$

Abstract

Based on $e^+e^-$ collision samples corresponding to an integrated luminosity of 4.4 $\mbox{fb$^{-1}$}$ collected with the BESIII detector at center-of-mass energies between $4.6\,\,\mathrm{GeV}$ and $4.7\,\,\mathrm{GeV}$, a partial wave analysis of the charmed baryon hadronic decay $Λ_c^+\toΛπ^+π^0$ is performed, and the decays $Λ_c^+\toΛρ(770)^{+}$ and $Λ_c^+\toΣ(1385)π$ are studied for the first time. Making use of the world-average branching fraction $\mathcal{B}(Λ_c^+\toΛπ^+π^0)$, their branching fractions are determined to be \begin{eqnarray*} \begin{aligned} \mathcal{B}(Λ_c^+\toΛρ(770)^+)=&(4.06\pm0.30\pm0.35\pm0.23)\times10^{-2},\\ \mathcal{B}(Λ_c^+\toΣ(1385)^+π^0)=&(5.86\pm0.49\pm0.52\pm0.35)\times10^{-3},\\ \mathcal{B}(Λ_c^+\toΣ(1385)^0π^+)=&(6.47\pm0.59\pm0.66\pm0.38)\times10^{-3},\\ \end{aligned} \end{eqnarray*} where the first uncertainties are statistical, the second are systematic, and the third are from the uncertainties of the branching fractions $\mathcal{B}(Λ_c^+\toΛπ^+π^0)$ and $\mathcal{B}(Σ(1385)\toΛπ)$. In addition, %according to amplitudes determined from the partial wave analysis, the decay asymmetry parameters are measured to be $α_{Λρ(770)^+}=-0.763\pm0.053\pm0.045$, $α_{Σ(1385)^{+}π^0}=-0.917\pm0.069\pm0.056$, and $α_{Σ(1385)^{0}π^+}=-0.789\pm0.098\pm0.056$.