Strong decays of excited $2^{+}$ charmed mesons

Abstract

The new charmed resonance $D_2^{\ast }(3000)$ was observed by the LHCb Collaboration in $B$ decays. In this paper, by assigning it as four possible excited states of the $2^{+}$ family, we use the instantaneous Bethe-Salpeter method to calculate their Okubo-Zweig-Iizuka-allowed two-body strong decays. The results of $1^3{F}_2$ and $3^3{P}_2$ states deviate from the present experimental observation while $2^3{P}_2$ and $2^3{F}_2$ are in the error range. Our study also reveals that the widths of these states depend strongly on the masses. Due to the large uncertainties and different mass input, variable models get inconsistent conclusions at the moment. The analysis in this work can provide essential assistance for future measurements and investigations.

Comments: Typos corrected, references added. The revised version is published in Phys. Rev. D