Isospin-conserving hadronic decay of the $D_{s1}(2460)$ into $D_s{\pi }^{+}{\pi }^{-}$

Abstract

The internal structure of the charm-strange mesons $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ are subject of intensive studies. Their widths are small because they decay dominantly through isospin-breaking hadronic channels $D_{s0}^{\ast }(2317{)}^{+}\to D_s^{+}{\pi }^0$ and $D_{s1}(2460{)}^{+}\to D_s^{\ast +}{\pi }^0$. The $D_{s1}(2460)$ can also decay into the hadronic final states $D_s^{+}\pi \pi$, conserving isospin. In that case there is, however, a strong suppression from phase space. We study the transition $D_{s1}(2460{)}^{+}\to D_s^{+}{\pi }^{+}{\pi }^{-}$ in the scenario that the $D_{s1}(2460)$ is a $D^{\ast }K$ hadronic molecule. The $\pi \pi$ final state interaction is taken into account through dispersion relations. We find that the ratio of the partial widths of the $\Gamma (D_{s1}(2460{)}^{+}\to D_s^{+}{\pi }^{+}{\pi }^{-})/\Gamma (D_{s1}(2460{)}^{+}\to D_s^{\ast +}{\pi }^0)$ obtained in the molecular picture is consistent with the existing experimental measurement. More interestingly, we demonstrate that the ${\pi }^{+}{\pi }^{-}$ invariant mass distribution shows a double bump structure, which can be used to disentangle the hadronic molecular picture from the compact state picture for the $D_{s1}(2460{)}^{+}$. Predictions on the $B_{s1}^0\to B_s^0{\pi }^{+}{\pi }^{-}$ are also made.

16 pages, 5 figures; the published version

References in corpus (23)

• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• Strong and radiative decays of the Ds0*(2317) meson in the DK-molecule picture
• Dynamically generated 1^+ heavy mesons
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Radiative and isospin-violating decays of Ds mesons in the hadrogenesis conjecture
• MO analysis of the high statistics Belle results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ with chiral constraints
• Masses and decay constants of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ from $N_f=2$ lattice QCD close to the physical point
• Anomalous decay and scattering processes of the eta meson
• Strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$
• Novel coupled channel framework connecting quark model and lattice QCD: an investigation on near-threshold $D_s$ states
• $DK$ $I=0,$ $D\bar{K}$ $I=0,1$ scattering and the $D_{s0}^{\ast }(2317)$ from lattice QCD
• $D_{s0}(2317)$ as a tetraquark state with QCD sum rules in heavy quark limit
• Isospin-1/2 $D\pi$ scattering and the lightest $D_0^{\ast }$ resonance from lattice QCD
• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
• Effects of $Z_b$ states and bottom meson loops on ${\rm Y}(4S)\to {\rm Y}(1S,2S){\pi }^{+}{\pi }^{-}$ transitions
• Update on strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ and their bottom cousins
• Production of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B$ decays as $D^{(\ast )}K$ and $D_s^{(\ast )}\eta$ molecules
• Radiative decay of the dynamically generated open and hidden charm scalar meson resonances D_{s0}^*(2317) and X(3700)
• Implications of chiral symmetry on $S$-wave pionic resonances and the scalar charmed mesons
• Insights into $Z_b(10610)$ and $Z_b(10650)$ from dipion transitions from ${\rm Y}(10860)$
• The investigations of the $P$-wave $B_s$ states combining quark model and lattice QCD in the coupled channel framework
• Axial-vector $D_1$ hadrons in $D^{\ast }\pi$ scattering from QCD

Cited by in corpus (5)

• Study of $D_{s1}(2460{)}^{+}\to D_s^{+}{\pi }^{+}{\pi }^{-}$ in $B\to {\bar{D}}^{(\ast )}{D}_s^{+}{\pi }^{+}{\pi }^{-}$ decays
• Exotic hadrons associated with $b$-quark
• What can we learn from the radiative decays of the $D_{s1}(2460)$ meson?
• Observation of the radiative decay $D_s(2317{)}^{+}\to D_s^{\ast }\gamma$
• Evidence for the existence of a flavor-sextet charmed meson?