Three-body decay of $Λ_c^{*} (2765)$ and determination of its spin-parity

We study three-body decays of $Λ_c^{*}(2765) \to Λ_c^+π^+π^-$ by using effective Lagrangians in a non-relativistic framework. We consider the sequential decays through $Σ_c(2455)π$ and $Σ_c^*(2520)π$ in intermediate states which are dominant contributions. The coupling constants in the effective Lagrangians are computed in the quark model. We demonstrate that the ratio $R= Γ(Λ_c^*\toΣ_c^*(2520)π)/Γ(Λ_c^*\to Σ_c(2455)π)$ and angular correlations are sensitive to the spin and parity of $Λ_c^{*}(2765)$. Thus, the measurement of these observables in experimental facilities such as Belle and LHCb can provide useful constraints to determine the spin and parity of $Λ_c^{*}(2765)$.

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