Resonant $a_0(980)$ state in triangle rescattering $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decays

Abstract

We study the $D_s^{+}\to {\pi }^{+}(a_0(980{)}^0\to ){\pi }^0\eta$, ${\pi }^0(a_0(980{)}^{+}\to ){\pi }^{+}\eta$ decays, which have been recently measured by the BESIII collaboration. We propose that $D_s^{+}\to {\pi }^{+(0)}(a_0(980{)}^{0(+)}\to ){\pi }^{0(+)}\eta$ receives the contributions from the triangle rescattering processes, where $M^0$ and ${\rho }^{+}$ in $D_s^{+}\to M^0{\rho }^{+}$, by exchanging ${\pi }^{0(+)}$, are formed as $a_0(980{)}^{0(+)}$ and ${\pi }^{+(0)}$, respectively, with $M^0=(\eta ,{\eta }^{\prime })$. Accordingly, we calculate that $\mathcal{B}(D_s^{+}\to a_0(980{)}^{0(+)}{\pi }^{+(0)})=(1.7\pm 0.2\pm 0.1)\times 10^{-2}$ and $\mathcal{B}(D_s^{+}\to {\pi }^{+(0)}(a_0(980{)}^{0(+)}\to ){\pi }^{0(+)}\eta )=(1.4\pm 0.1\pm 0.1)\times 10^{-2}$, being consistent with the data.

Title changed, 9 pages, 5 diagrams, version published in EPJC

References in corpus (5)

• Threshold cusps and triangle singularities in hadronic reactions
• Revisiting CP violation in $D\to PP$ and $VP$ decays
• Re-analysis of data on a0(1450) and a0(980)
• More hidden heavy quarkonium molecules and their discovery decay modes
• Theoretical interpretation of the $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decay and the nature of $a_0(980)$

Cited by in corpus (28)

• Role of scalar $a_0(980)$ in the single Cabibbo Suppressed process $D^{+}\to {\pi }^{+}{\pi }^0\eta$
• Can the nature of $a_0(980)$ be tested in the $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decay?
• Observation of $a_0(1710{)}^{+}\to K_S^0{K}^{+}$ in study of the $D_s^{+}\to K_S^0{K}^{+}{\pi }^0$ decay
• Study of the decay $D_s^{+}\to K_S^0{K}_S^0{\pi }^{+}$ and observation an isovector partner to $f_0(1710)$
• Hadronic three-body D decays mediated by scalar resonances
• Scalar resonances in the $D^{+}\to K^{-}{K}^{+}{K}^{+}$ decay
• The $a_0(980)$ in the single Cabibbo-suppressed process ${\Lambda }_c\to {\pi }^0\eta p$
• Cabibbo-favored ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ decay in the final state interaction
• Study of the Decay $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}\eta$ and Observation of the W-annihilation Decay $D_s^{+}\to a_0(980{)}^{+}{\rho }^0$
• Observation of $D^{+}\to K_S^0{a}_0(980{)}^{+}$ in the amplitude analysis of $D^{+}\to K_S^0{\pi }^{+}\eta$
• Observation of ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ and Evidence for $\Sigma (1380{)}^{+}$ in ${\Lambda }_c^{+}\to \Lambda {\pi }^{+}\eta$
• New $X_{0,1}(2900)$-like exotic states in $b$-baryon decays
• The $\pi f_0(500)$ decay of the $a_1(1260)$
• Study of light scalar mesons through $D_s^{+}\to {\pi }^0{\pi }^0{e}^{+}{\nu }_e$ and $K_S^0{K}_S^0{e}^{+}{\nu }_e$ decays
• Amplitude analysis and branching fraction measurement of the decay $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$
• Investigating ${\eta }_1^{\prime }(1855)$ exotic states in $J/\psi \to {\eta }_1^{\prime }(1855){\eta }^{(\prime )}$ decays
• Low-mass enhancement of kaon pairs in $B^{+}\to {\bar{D}}^{(\ast )0}{K}^{+}{\bar{K}}^0$ and $B^0\to D^{(\ast )-}{K}^{+}{\bar{K}}^0$ decays
• The role of meson interactions in the $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}\eta$ decay
• A phenomenological estimate of rescattering effects in $B_s\to K^{\ast 0}{\bar{K}}^{\ast 0}$
• Testing the light scalar meson as a non-$q\bar{q}$ state in semileptonic $D$ decays
• The role of triangle singularity in the decay process $D^0\to {\pi }^{+}{\pi }^{-}{f}_0(980),f_0\to {\pi }^{+}{\pi }^{-}$
• Study of $D_s^{+}\to f_0(980){\rho }^{+}$ and $\varphi {\pi }^{+}$ decays through $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}{\pi }^0$
• Hidden charm ${\mathcal{P}}_{cs}(4338{)}^0$ production in baryonic $B^{-}\to J/\psi \Lambda \bar{p}$ decay
• Investigating $Z_{cs}(3985)$ and $Z_{cs}(4000)$ exotic states in ${\Lambda }_b\to Z_{cs}^{-}p$ decays
• The theoretical study of $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$
• Contributions of $\rho (770,1450)\to \omega \pi$ for the Cabibbo-favored $D\to h\omega \pi$ decays
• Rescattering-induced $D\to SS$ weak decays
• Study of the light scalar $a_0(980)$ through the decay $D^0\to a_0(980{)}^{-}{e}^{+}{\nu }_e$ with $a_0(980{)}^{-}\to \eta {\pi }^{-}$