B Decays as Spectroscope for Charmed Four-quark States

Abstract

The $D_s(2320)$ state recently observed by BaBar in the $D_s^+π^0$ channel may be the first of a host of $cq\bar q\bar q$ four-quark states. We give a phenomenological account of the masses and decay modes. The isosinglet $D_s(2320)$ state is the only narrow one, dominated by the observed isospin violating decay and less than $\sim$ 100 keV in width. All other states are expected to decay hadronically. Notable resonances are in doubly charged $D_s^+π^+$, $D^+K^+$, wrong pairing $D^+K^-$, and also $D_s^+K^-$, $Dη$ channels. We propose B decays as searching ground for such 4-quark states, which recoil against $\bar D^{(*)}$ meson from B decay, or $π^+$ $\bar D^{(*)}$, $\bar K$ mesons from $\bar B$ decay. Exotic $qc\bar c\bar q$ charmonia could also be produced, and may be behind the slow $J/ψ$ bump in inclusive $B\to J/ψ+X$ decay.