Determination of spin and parity of D_(s)^⁎ mesons

The spin and parity of the charmed mesons D_s^⁎+, D^⁎0 and D^⁎+ are determined for the first time to be J^P=1⁻ with significances greater than 10σ over other hypotheses of 2⁺ and 3⁻, using an e⁺e⁻ collision data sample with an integrated luminosity of 3.19 fb⁻¹ collected by the BESIII detector at a center-of-mass energy of 4.178 GeV. Different spin-parity hypotheses are tested via a helicity amplitude analysis of the processes e⁺e⁻→D_s^⁎+D_s⁻, D^⁎0D⁰ and D^⁎+D⁻, with D_s^⁎+→D_s⁺γ, D^⁎0→D⁰π⁰, and D^⁎+→D⁺π⁰. The results confirm the quark model predictions.