Observation of ${{e^+e^- ightarrow D_s^+} overline{ D}^{f (*)0} {K^-}}$ and study of the P-wave ${{D_s}}$ mesons

Studies of e(+)e(-)-> D-s(+)(D) over bar (()*K-)0(-) and the p-wave charmed-strange mesons are performed based on an e(+)e(-) collision data sample corresponding to an integrated luminosity of 567 pb(-1) collected with the BESIII detector at root s = 4.600 GeV. The processes of e(+)e(-)-> D-s(+)(D ) over bar*K-0(-) and D-s(+)(D ) over bar K-0(-) are observed for the first time and are found to be dominated by the modes Ds+Ds1 (2536)(-) and Ds(+)Ds*(s2) (2573)(-), respectively. The Born cross sections are measured to be sigma(B)(e(+)e( -)-> D-s(+)(D ) over bar K-*0(-) (10.1 +/- 2.3 +/- 0.8) pb and D-s(+)(D ) over bar K-0(-) = (19.4 +/- 2.3 +/- 1.6) pb, and the products of Born cross section and the decay branching fraction are measured to be sigma(B)(e(+)e( -)-> Ds+Ds1(2536)(-)+c.c).B(D-s1(2536)(-) = ( 7.5 +/- 1.8 +/- 0.7) pb and sigma(B)(e(+)e(-)-> Ds+Ds1+(2573)(-)c.c.). B(D-s1(2573)(-)-> (D ) over bar*K-0(-)) = (19.7 +/- 2.9 +/- 2.0) pb. For the D-s1(2536)(-) and D-s2(2573)(-) mesons, the masses and widths are measured to be M(D-s1(2536)(-)) = (2537.7 +/- 0.5 +/- 3.1) MeV/c(2), Gamma(D-s1(2536)(-)) = (1.7 +/- 1.2 +/- 0.6)MeV, and M(D-s2*(2573)(-)) = (2570.7 +/- 2.0 +/- 1.7) MeV/c(2), Gamma(D-s2(2573)(-)) = (17.2 +/- 3.6 +/- 1.1) MeV. The spin-parity of the D-s2*(2573)(-) meson is determined to be J(P) = 2(+). In addition, the processes e(+)e(-)-> D-s(+)(D ) over bar*K-0(-) are searched for using the data samples taken at four (two) center-of-mass energies between 4.416 (4.527) and 4.575 GeV, and upper limits at the 90% confidence level on the cross sections are determined.