($\boldsymbol C$ = $\pm1$)
${{\mathit D}^{+}}$ = ${\mathit {\mathit c}}$ ${\mathit {\overline{\mathit d}}}$, ${{\mathit D}^{0}}$ = ${\mathit {\mathit c}}$ ${\mathit {\overline{\mathit u}}}$, ${{\overline{\mathit D}}^{0}}$ = ${\mathit {\overline{\mathit c}}}$ ${\mathit {\mathit u}}$, ${{\mathit D}^{-}}$ = ${\mathit {\overline{\mathit c}}}$ ${\mathit {\mathit d}}$, similarly for ${{\mathit D}^{*}}$'s
INSPIRE search

${{\boldsymbol D}{(2550)}^{0}}$ $I(J^P)$ = $1/2(?^{?})$ 

Unnatural parity according to the helicity analysis of DEL-AMO-SANCHEZ 2010P and AAIJ 2013CC. DEL-AMO-SANCHEZ 2010P suggests $\mathit J{}^{P} = 0{}^{-}$.
${{\mathit D}{(2550)}^{0}}$ MASS   $2564 \pm20$ MeV (S = 3.9)
${{\mathit D}{(2550)}^{0}}$ WIDTH   $135 \pm17$ MeV 
${{\mathit D}{(2550)}^{0}}$ POLARIZATION AMPLITUDE A$_{{{\mathit D}_{{J}}}}$
$\Gamma_{1}$ ${{\mathit D}^{*+}}{{\mathit \pi}^{-}}$  seen 478