Cabibbo-favored ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ decay in the final state interaction

Abstract

The anti-triplet charmed baryon decays with the light scalar mesons are rarely measured, whereas the recent observation of the Cabibbo-favored ${\Lambda }_c^{+}\to \Lambda \eta {\pi }^{+}$ decay hints a possible ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+},a_0(980{)}^{+}\to \eta {\pi }^{+}$ process. We hence study the ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ decay. Particularly, it is found that the final state interaction can give a significant contribution, where ${\Sigma }^{+}(1385)$ and $\eta$ in ${\Lambda }_c^{+}\to {\Sigma }^{+}(1385)\eta$ by exchanging a charged pion are transformed as $\Lambda$ and $a_0(980{)}^{+}$, respectively. Accordingly, we predict $\mathcal{B}({\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+})=(1.7_{-1.0}^{+2.8}\pm 0.3)\times 10^{-3}$, accessible to the BESIII, BELLEII and LHCb experiments.

arXiv comment10 pages, 2 figures, version to appear in Physics Letters B

References in corpus (19)

• Mixing and Decay Constants of Pseudoscalar Mesons
• Final State Interactions in Hadronic B Decays
• Mixing and Decay Constants of Pseudoscalar Mesons: The Sequel
• Threshold cusps and triangle singularities in hadronic reactions
• Non-leptonic two-body weak decays of ${\Lambda }_c(2286)$
• Revisiting charmless hadronic B decays to scalar mesons
• Photon induced Lambda(1520) production and the role of the K^* exchange
• Nonleptonic two-body decays of single heavy baryons ${\Lambda }_Q$, ${\Xi }_Q$, and ${\Omega }_Q$ $(Q=b,c)$ induced by $W$ emission in the covariant confined quark model
• Resonant $a_0(980)$ state in triangle rescattering $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decays
• Charmed ${\Omega }_c$ weak decays into $\Omega$ in the light-front quark model
• ${\Sigma }_{1/2^{-}}^{\ast }(1380)$ in the ${\Lambda }_c^{+}\to \eta {\pi }^{+}\Lambda$ decay
• The scalar $f_0(500)$ and $f_0(980)$ resonances and vector mesons in the single Cabibbo-suppressed decays ${\Lambda }_c\to p{K}^{+}{K}^{-}$ and $p{\pi }^{+}{\pi }^{-}$
• The $a_0(980)$ and $\Lambda (1670)$ in the ${\Lambda }_c^{+}\to {\pi }^{+}\eta \Lambda$ decay
• Visible narrow cusp structure in ${\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+}$ enhanced by triangle singularity
• Two-body charmed baryon decays involving decuplet baryon in the quark-diagram scheme
• Measurement of Branching Fractions of ${\Lambda }_c^{+}\to \eta \Lambda {\pi }^{+}$, $\eta {\Sigma }^0{\pi }^{+}$, $\Lambda (1670){\pi }^{+}$, and $\eta \Sigma (1385{)}^{+}$
• $SU(3)$ Flavor Symmetry for Weak Hadronic Decays of ${\mathbf{B}}_{bc}$ Baryons
• $B^{(\ast )}{\bar{B}}^{(\ast )}$ intermediate state contribution to ${\rm Y}(4S,5S)\to {\eta }_b+\gamma$ radiative decay
• A natural interpretation on the data of ${\Lambda }_c\to \Sigma \pi$

Cited by in corpus (8)

• Equivalent $SU(3{)}_f$ approaches for two-body anti-triplet charmed baryon decays
• Observation of ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ and Evidence for $\Sigma (1380{)}^{+}$ in ${\Lambda }_c^{+}\to \Lambda {\pi }^{+}\eta$
• A phenomenological estimate of rescattering effects in $B_s\to K^{\ast 0}{\bar{K}}^{\ast 0}$
• Hidden charm ${\mathcal{P}}_{cs}(4338{)}^0$ production in baryonic $B^{-}\to J/\psi \Lambda \bar{p}$ decay
• Rescattering-induced $D\to SS$ weak decays
• The scalars $a_0(980)$ and $f_0(980)$ in the process $D_s^{+}\to K^{+}{K}^{-}{\pi }^{+}$
• Observation of ${\Lambda }_c^{+}\to n{\pi }^{+}\eta$ and search for ${\Lambda }_c^{+}\to n{a}_0(980{)}^{+}$
• Roles of $a_0(980)$ and $a_0(1710)$ in Cabibbo-suppressed process $D^{+}\to {\pi }^0{\pi }^{+}\eta$