Predictions of the missing excited vector heavy–light mesons: the mass difference method

A prediction study for the not yet discovered cs̄ c s ¯ and bs̄ b s ¯ meson states of the 1³D₁ 1 3 D 1 quantum numbers is conducted, denoted as Dₛ D s and Bₛ B s , respectively. By employing our method, both states of ground and excited vector mesons are considered, which predominantly correspond to the ground state vector mesons with quantum numbers n~ 2S+1LJ = 1 ~ ³S₁ n 2 S + 1 L J = 1 3 S 1 and to the orbitally excited vector mesons with quantum numbers n~ 2\,S+1LJ = 1~ ³D₁ n 2 S + 1 L J = 1 3 D 1 . The considered method depends on the difference in the masses for the relevant states from orbitally and ground state vector mesons. Theoretical calculations are in good agreements with newly published data.