Higher excitations of the D and Ds mesons

The masses of higher D(nL) and D-s(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 similar to 100 MeV takes place if the current mass of the light (strange) quark is used in a relativistic model. For D-s(1(3)D(3)) and D-s(2P(1)(H)) the calculated masses agree with the experimental values for D-s(2860) and D-s(3040), and the masses of D(2(1)S(0)), D(2(3)S(1)), D(1(3)D(3)), and D(1D(2)) are in agreement with the new BABAR data. For the yet undiscovered resonances we predict the masses M(D(2(3)P(2))) = 2965 MeV, M(D(2(3)P(0))) = 2880 MeV, M(D(1(3)F(4))) = 3030 MeV, and M(D-s(1(3)F(2))) = 3090 MeV. We show that for L = 2, 3 the states with j(q) = l + 1/2 and j(q) = l - 1/2 (J = l) are almost completely unmixed (phi similar or equal to -1 degrees), which implies that the mixing angles theta between the states with S = 1 and S = 0 (J = L) are theta approximate to 40 degrees for L = 2 and approximate to 42 degrees for L = 3.