Final-state rescattering mechanism of charmed baryon decays

Abstract

The dynamical studies on the non-leptonic weak decays of charmed baryons are always challenging, due to the large non-perturbative contributions at the charm scale. In this work, we develop the final-state rescattering mechanism to study the two-body non-leptonic decays of charmed baryons. The final-state interaction is a physical picture of long-distance effects. Instead of using the Cutkosky rule to calculate the hadronic triangle diagrams which can only provide the imaginary part of decay amplitudes, we point out that the loop integral is more appropriate, as both the real parts and the imaginary parts of amplitudes can be calculated completely. In this way, it can be obtained for the non-trivial strong phases which are essential to calculate CP violations. With the physical picture of long-distance effects and the reasonable method of calculations, it is amazingly achieved that all the nine existing experimental data of branching fractions for the ${\Lambda }_c^{+}$ decays into an octet light baryon and a vector meson can be explained by only one parameter of the model. Besides, the decay asymmetries and CP violations are not sensitive to the model parameter, since the dependence on the parameter is mainly cancelled in the ratios, so that the theoretical uncertainties on these observables are lowered down.

arXiv comment32 pages,10 figures, 5 tables, published version

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Cited by in corpus (9)

• Final-state rescattering mechanism in bottom-baryon decays
• Measurement of the branching fractions of the decays ${\Lambda }_c^{+}\to \Lambda K_S^0{K}^{+}$, ${\Lambda }_c^{+}\to \Lambda K_S^0{\pi }^{+}$ and ${\Lambda }_c^{+}\to \Lambda K^{\ast +}$
• Implications of recent LHCb data on CPV in b-baryon four body decays
• Observation of the Singly Cabibbo-Suppressed Decay ${\Lambda }_c^{+}\to p{\pi }^0$
• Analysis of the strong vertices ${\Lambda }_c{D}^{(\ast )}{N}^{\ast }(1535)$ and ${\Lambda }_b{B}^{(\ast )}{N}^{\ast }(1535)$ in QCD sum rules
• Large CP Asymmetries from Final-State Interactions in Charmful Baryonic Decays of $B^0\to {\Xi }_c^{+}{\overline{\Xi }}_c^{-}$ and $B_s^0\to {\Lambda }_c^{+}{\overline{\Lambda }}_c^{-}$
• The nonleptonic decays of double-charmed baryon ${\Omega }_{cc}^{+}$ within the nonrelativistic quark model
• Mass spectrum, magnetic moments and Regge trajectories of ${\Omega }_{ccb}$ and ${\Omega }_{cbb}$ baryons in the nonrelativistic quark--diquark model
• Topological diagrams of doubly charmed baryon decays in the $SU(3{)}_F$ limit