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 $DK\bar{K}$ 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 $D^{\ast }\pi$, $D_s^{\ast }\bar{K}$ and $D_{s0}^{\ast }(2317)\bar{K}$. It turns out that decay width to the last one is the largest, making the $D_{s0}^{\ast }(2317)\bar{K}$ 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.