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

Abstract

We study three-body decays of $\Lambda_c^{*}(2765) \to \Lambda_c^+\pi^+\pi^-$ by using effective Lagrangians in a non-relativistic framework. We consider the sequential decays through $\Sigma_c(2455)\pi$ and $\Sigma_c^*(2520)\pi$ 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 $R= \Gamma(\Lambda_c^*\to\Sigma_c^*(2520)\pi)/\Gamma(\Lambda_c^*\to \Sigma_c(2455)\pi)$ and angular correlations are sensitive to the spin and parity of $\Lambda_c^{*}(2765)$. 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 $\Lambda_c^{*}(2765)$.