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Three-body decay of $\Lambda_c^{*} (2765)$ and determination of its spin-parity
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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 $\Lambda_c^{*}(2765)$.
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Cited by 1 Pith paper
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Chiral effective theory of scalar and vector diquarks revisited
A new term in the chiral diquark Lagrangian is shown to control the mass ordering of pseudoscalar diquarks and to set the threshold at which heavy-baryon decays turn off under chiral restoration.
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