Higher excitations of the D and Ds mesons

The masses of higher D(nL) and Ds(nL) excitations are shown to decrease due to the string contribution, originating from the rotation of the QCD string itself: it lowers the masses by 45 MeV for L=2 (n=1) and by 65 MeV for L=3 (n=1). An additional decrease ∼100 MeV takes place if the current mass of the light (strange) quark is used in a relativistic model. For Ds(13D3) and Ds(2P1H) the calculated masses agree with the experimental values for Ds(2860) and Ds(3040), and the masses of D(21S0), D(23S1), D(13D3), and D(1D2) are in agreement with the new BABAR data. For the yet undiscovered resonances we predict the masses M(D(23P2))=2965 MeV, M(D(23P0))=2880 MeV, M(D(13F4))=3030 MeV, and M(Ds(13F2))=3090 MeV. We show that for L=2, 3 the states with jq=l+1/2 and jq=l-1/2 (J=l) are almost completely unmixed (φ≅-1 deg.), which implies that the mixing angles θ between the states with S=1 and S=0 (J=L) are θ≅40 deg. for L=2 and ≅42 deg. for L=3.