Revealing the inner structure of the newly observed $D_2^{*}(3000)$

Stimulated by the $D_2^{*}(3000)$ recently observed by LHCb, we study the decay behaviors of the $3P$ and $2F$ charmed mesons. Comparing the masses and decay properties of the $3{{}^{3}P}_2$ and $2{{}^{3}F}_2$ with the observed $D_2^{*}(3000)$, we conclude that the most probable assignment is the $3{{}^{3}P}_2$, while the assignment of the $2{{}^{3}F}_2$ may not be fully excluded. The results of the unobserved $3P$ and $2F$ charmed mesons in this work may provide some fundamental information when further searching for these charmed mesons in the experiments by LHCb and the forthcoming Belle II.

Figure 1

A comparison of the masses of the $2{{}^{3}P}_2$, $3{{}^{3}P}_2$, $1{{}^{3}F}_2$, and $2{{}^{3}F}_2$ charmed mesons of the modified GI model [20] and the experimental measurement of the $D_2^{*}(3000)$ [1]. The light gray band indicates the error of the $D_2^{*}(3000)$ mass [1].

Figure 2

Mixing angle ${\theta }_{3P}$ dependence of the total and partial widths of the $3P(1^{+})$ charmed meson. The vertical dashed line indicates the mixing angle ${\theta }_{3P}$ in the heavy quark limit, which is $-54.7°$.

Figure 3

The same as Fig. 2 but for the $3P^{\prime }(1^{+})$ charmed meson.

Figure 4

Mixing angle ${\theta }_{2F}$ dependence of the total and partial widths of the $|2F(3^{+})⟩$ charmed meson. The vertical dashed line indicates the mixing angle ${\theta }_{2F}$ in the heavy quark limit, which is $-49.1°$.

Figure 5

The same as Fig. 4 but for $|2F^{\prime }(3^{+})⟩$ charmed meson.