Hyperon production in ${\Lambda }_c^{+}\to K^{-}p{\pi }^{+}$ and ${\Lambda }_c^{+}\to K_S^{0}p{\pi }^0$

Abstract

We investigate $S=-1$ hyperon production from the ${\Lambda }_c^{+}\to K^{-}p{\pi }^{+}$ and ${\Lambda }_c^{+}\to K_S^{0}p{\pi }^0$ decays within the effective Lagrangian approach. We consider the $\Sigma /\Lambda$ ground states, $\Lambda (1520)$, $\Lambda (1670)(J^p=1/2^{-})$, $\Lambda (1890)(J^p=3/2^{+})$; $\Lambda /\Sigma$-pole contributions from the combined resonances between 1800 MeV and 2100 MeV; and $N/\Delta$-pole and $K^{\ast }$-pole contributions, which include the proton, $\Delta (1232)$, and $K(892)$. We calculate the Dalitz plot density $(d^2\Gamma /d{M}_{K^{-}p}d{M}_{K^{-}{\pi }^{+}}$) for the ${\Lambda }_c^{+}\to K^{-}p{\pi }^{+}$ decay. The calculated result is in good agreement with experimental data from the Belle Collaboration. Using the parameters from the fit, we present the Dalitz plot density for the ${\Lambda }_c^{+}\to K_S^{0}p{\pi }^0$ decay. In our calculation, a sharp peak-like structure near 1665 MeV is predicted in the ${\Lambda }_c^{+}\to K^{-}p{\pi }^{+}$ decay because of the interference effects between the $\Lambda (1670)$ resonance and $\eta$-$\Lambda$ loop channels. We also demonstrate that we can access direct information regarding the weak couplings of $\Lambda (1670)$ and $\Sigma (1670)$ from the ${\Lambda }_c^{+}\to K_S^{0}p{\pi }^0$ decay. Finally, a possible interpretation for the 1665 MeV structure beyond our prediction is briefly discussed.

arXiv comment8 pages, 8 figures

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Cited by in corpus (4)

• QCD and the Strange Baryon Spectrum
• The $a_0(980)$ in the single Cabibbo-suppressed process ${\Lambda }_c\to {\pi }^0\eta p$
• Study of the resonance contributions in the ${\Xi }_b^{-}\to p{K}^{-}{K}^{-}$ decay
• Role of ${\Sigma }^{\ast }(1/2^{-})$ baryons in ${\Lambda }_c\to \Lambda {\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay