Abstract
The hadronic weak decays of $\Lambda_c$ are studied in the framework of a constituent quark model. With the combined analysis of the Cabbibo-favored processes, $\Lambda_c\to \Lambda\pi^+$, $\Sigma^0\pi^+$ and $\Sigma^+\pi^0$, we confirm that the non-factorizable transition mechanisms play a crucial role in the understanding of their compatible branching ratios. We emphasize that the SU(3) flavor symmetry breaking effects, which is generally at the order of $1\sim 2\%$, can be amplified by the destructive interferences among the pole terms in the diagrams with internal conversion. Some contributions are sensitive to the spatial distribution of the scalar-isoscalar light-quark sector in the $\Lambda_c$, and its overlap with the light quarks in the final state hyperon. Namely, a compact diquark configuration is disfavored.
Highlights
The hadronic weak decays of charmed baryons have served as a probe for QCD factorization
In the nonrelativistic quark model SU(3) flavor symmetry breaking effects explicitly appear in the eignvalues of the Hamiltonian via the mass term and mass-dependence in the kinetic energy and in the potential
It leaves the leading SU(3) flavor-symmetry breaking effects to be manifested by the differences among baryon masses in the pole terms, and allows us to make the approximation of adopting the physical masses and widths in the propagators for the intermediate states
Summary
The hadronic weak decays of charmed baryons have served as a probe for QCD factorization. Theoretical studies of these processes based on different models can be found in the literature, for instance, algebraic techniques [1,2,3,4] which parametrized out typical amplitudes on the basis of symmetry considerations, and quark models [5,6,7] which calculate certain processes using explicit constituent wave functions These prescriptions did not explicitly consider contributions from the color suppressed. With the availability of high-precision measurements [20,21], these controversial questions can be possibly addressed in an explicit quark model calculation This motivates us to reinvestigate the hadronic weak decays of the charmed baryon Λc. The latter ones include the color-suppressed transitions and pole contributions due to the flavor internal conversion By explicitly calculating these processes, we demonstrate that their contributions cannot be neglected and their impact can provide useful insights into the effective constituent quark degrees of freedom in the quark model. In the Appendix, details are supplied for the quark wave functions and transition amplitudes
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