Production of $X(3872)$ Accompanied by a Pion in $B$ Meson Decay

Abstract

If the $X(3872)$ is a weakly bound charm-meson molecule, it can be produced by the creation of $D^{\ast 0}{\bar{D}}^0$ or $D^0{\bar{D}}^{\ast 0}$ at short distances followed by the formation of the bound state from the charm-meson pairs. It can also be produced by the creation of $D^{\ast }{\bar{D}}^{\ast }$ at short distances followed by the rescattering of the charm mesons into $X\pi$. We use results of a previous isospin analysis of $B$ meson decays into $K{D}^{(\ast )}{\bar{D}}^{(\ast )}$ to estimate the short-distance amplitudes for creating $D^{\ast }{\bar{D}}^{\ast }$. We use an effective field theory for charm mesons and pions called XEFT to calculate the amplitudes for rescattering of $D^{\ast }{\bar{D}}^{\ast }$ into $X\pi$ with small relative momentum. The $X\pi$ invariant mass distribution is predicted to have a narrow peak near the $D^{\ast }{\bar{D}}^{\ast }$ threshold from a charm-meson triangle singularity. We estimate the branching fractions into the peak from the triangle singularity for the decays $B^0\to K^{+}X{\pi }^{-}$ and $B^{+}\to K^{0}X{\pi }^{+}$.

22 pages, 4 figures, 1 table. An error in identifying the region of validity in the $X(3872)\pi$ invariant mass was corrected

References in corpus (12)

• Multiquark Resonances
• Exotics: Heavy Pentaquarks and Tetraquarks
• Multiquark States
• Pion Interactions in the X(3872)
• The XYZ states revisited
• Novel Method for Precisely Measuring the $X(3872)$ Mass
• Galilean-Invariant XEFT
• Dalitz plot analyses of $B^0\to D^{-}{D}^0{K}^{+}$ and $B^{+}\to {\overline{D}}^0{D}^0{K}^{+}$ decays
• Measurement of the B -> Dbar(*)D(*)K branching fractions
• Triangle Singularity in the Production of $X(3872)$ and a Photon in $e^{+}{e}^{-}$ Annihilation
• Threshold Effects and the Line Shape of the X(3872) in Effective Field Theory
• $e^{+}{e}^{-}\to \gamma X(3872)$ near the $D^{\ast }{\bar{D}}^{\ast }$ threshold

Cited by in corpus (19)

• Pentaquark and Tetraquark states
• Nuclear effective field theory: status and perspectives
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Study of the ${\psi }_2(3823)$ and ${\chi }_{c1}(3872)$ states in $B^{+}\to \left(J\psi {\pi }^{+}{\pi }^{-}\right)K^{+}$ decays
• Triangle Singularity in the Production of $T_{cc}^{+}$(3875) and a Soft Pion
• Triangle singularity in the $B^{-}\to K^{-}{\pi }^{0}X(3872)$ reaction and sensitivity to the $X(3872)$ mass
• Study of $B_s^0\to J/\psi {\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-}$ decays
• Charm-meson Triangle Singularity in $e^{+}{e}^{-}$ Annihilation into $D^{\ast 0}{\bar{D}}^0+\gamma$
• Triangle Singularity in the Production of $X(3872)$ and a Photon in $e^{+}{e}^{-}$ Annihilation
• Measurement of ${\chi }_{c1}(3872)$ production in proton-proton collisions at $\sqrt{s}=8$ and $13$ TeV
• Galilean-Invariant XEFT at Next-to-Leading Order
• Triangle singularity appearing as an $X(3872)$-like peak in $B\to (J/\psi {\pi }^{+}{\pi }^{-})K\pi$
• Possible precise measurements of the $X(3872)$ mass with the $e^{+}{e}^{-}\to {\pi }^0\gamma X(3872)$ and $p\bar{p}\to \gamma X(3872)$ reactions
• Production of $X(3872)$ and a Photon in $e^{+}{e}^{-}$ Annihilation
• Triangle singularity in $B^0\to {\pi }^{-}{K}^{+}X(3872)$ via the $D_{s1}\bar{D}{D}^{\ast }$ loop and possible precise measurement of the $X(3872)$ mass
• Novel correlated $D^0\overline{D}{}^0$ systems for $c/b$ physics and tests of $T/CPT$
• Studies of $X(3872)$ and $\psi (2S)$ production in $p\bar{p}$ collisions at 1.96 TeV
• Observation of the $B_s^0\to {\chi }_{c1}(3872){\pi }^{+}{\pi }^{-}$ decay
• Unified study of $B_s^0\to X(3872){\pi }^{+}{\pi }^{-}(K^{+}{K}^{-})$ and $B_s^0\to \psi (2S){\pi }^{+}{\pi }^{-}(K^{+}{K}^{-})$ processes