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

Arifi, A. J.*; Nagahiro, Hideko*; Hosaka, Atsushi; Tanida, Kiyoshi   

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 $$R= Gamma(Lambda_c^*toSigma_c^*(2520)pi)/Gamma(Lambda_c^*to Sigma_c(2455)pi)$$ 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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Category:Astronomy & Astrophysics

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