Charmed $$ {\Lambda}_c^{+} $$ baryon decays into light scalar mesons in the topological SU(3)f framework

A bstract Using the topological-diagram approach based on SU(3) flavor symmetry, we investigate two-body $$ {\Lambda}_c^{+}\to \textbf{B}S $$ Λ c + → B S decays, where B denotes the final-state baryon and S refers to a light scalar meson, such as f 0 / f 0 (980), a 0 / a 0 (980), σ 0 / f 0 (500), or $$ \kappa /{K}_0^{\ast }(700) $$ κ / K 0 ∗ 700 . Our analysis indicates that interpreting the light scalar mesons as tetraquark states provides a more consistent description of the currently available experimental data. In particular, this framework naturally accommodates the experimentally observed branching fraction $$ \mathcal{B}\left({\Lambda}_c^{+}\to \Lambda {a}_0^{+}\right) $$ B Λ c + → Λ a 0 + , which exceeds predictions based solely on long-distance effects by an order of magnitude. Within the tetraquark scenario, we predict $$ \mathcal{B}\left({\Lambda}_c^{+}\to {\Sigma}^{+}{f}_0\right)=\left(4.9\pm 1.9\right)\times {10}^{-2} $$ B Λ c + → Σ + f 0 = 4.9 ± 1.9 × 10 − 2 and $$ \mathcal{B}\left({\Lambda}_c^{+}\to p{f}_0\right)=\left(3.6\pm 1.4\right)\times {10}^{-3} $$ B Λ c + → p f 0 = 3.6 ± 1.4 × 10 − 3 . Owing to f 0 − σ 0 mixing, $$ \mathcal{B}\left({\Lambda}_c^{+}\to {\Sigma}^{+}{\sigma}_0\right) $$ B Λ c + → Σ + σ 0 and <jats:tex-