Decay processes of a pseudoscalar \(D(2900)\)

Abstract

We study the decay properties of a \(D(2900)\) state, with spin-parity \(0^-\), whose existence was proposed in an earlier study of the \(D K\bar K\) and coupled channel system. It was found in the former work that a \(D\)-meson appears with a mass of about 2900 MeV from the three-body dynamics while the charmless subsystem of the pseudoscalar mesons forms the \(f_0(980)\) resonance. Motivated by the recent experimental investigations of \(D\)-mesons around 3000 MeV, we now study the two-body decays of \(D(2900)\). We find that the nature of the said state sets the main decay channels to be \(D^*\pi\), \(D^{*}_s \bar K\) and \(D^*_{s0}(2317)\bar K\). It turns out that decay width to the last one is the largest, making the \(D^*_{s0}(2317)\bar K\) system to be the most favorable one to look for a signal of \(D(2900)\). We compare the decay properties of our state with those of the \(D\)-meson states, proposed within quark models, near 3000 MeV. We hope that our findings and discussions can be useful for the future experimental investigations of charm mesons around 3000 MeV.