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Search for a DD¯ bound state in the Λb→ΛDD¯ process

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We investigate the process of ${\mathrm{\ensuremath{\Lambda}}}_{b}\ensuremath{\rightarrow}\mathrm{\ensuremath{\Lambda}}D\overline{D}$, by taking into account the contributions from the $s$-wave $D\overline{D}$ interaction within the coupled-channel unitary approach, and the intermediate $\ensuremath{\psi}(3770)$ resonance. In addition to… Click to show full abstract

We investigate the process of ${\mathrm{\ensuremath{\Lambda}}}_{b}\ensuremath{\rightarrow}\mathrm{\ensuremath{\Lambda}}D\overline{D}$, by taking into account the contributions from the $s$-wave $D\overline{D}$ interaction within the coupled-channel unitary approach, and the intermediate $\ensuremath{\psi}(3770)$ resonance. In addition to the peak of the $\ensuremath{\psi}(3770)$, an enhancement near the $D\overline{D}$ mass threshold is found in the $D\overline{D}$ invariant mass distributions, which should be the reflection of the $D\overline{D}$ bound state. We encourage our experimental colleagues to measure the $D\overline{D}$ invariant mass distribution of the ${\mathrm{\ensuremath{\Lambda}}}_{b}\ensuremath{\rightarrow}\mathrm{\ensuremath{\Lambda}}D\overline{D}$ process, which is crucial to search for the $D\overline{D}$ bound state and to understand the heavy-hadron heavy-hadron interactions.

Keywords: bound state; ensuremath; ensuremath lambda; process; mathrm ensuremath

Journal Title: Physical Review D
Year Published: 2021

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