In order to classify the charmed-strange mesons, including puzzling D_{s0}^{}(2317) and D_{s1}(2460), and recently observed D_{s1}^{}(2710) and D_{sJ}^{}(2860), we employ the U~(12)O(3,1) level-classification scheme of hadrons proposed and developed by us in recent years. The scheme has a new degree of freedom, SU(2){\rho}, which leads to a number of extra states out of conventional SU(6)-scheme, named chiralons. Applying this novel classification scheme, we investigate the strong decays of S- and P-wave c\bar{s} mesons with one pseudoscalar emission by using the covariant oscillator quark model. As a result it is shown that D{s0}^{}(2317) and D_{s1}(2460) are described as {}^{1}S_{0}^{\chi} and {}^{3}S_{1}^{\chi} chiralons, forming the SU(2){\rho} doublet with the ground-state D{s}^{} and D_{s}^{}, respectively. Furthermore, the observed decay properties of D_{s1}^{}(2710) is consistently explained as the vector chiralon {}^{1}P_{1}^{\chi}. On the other hand, it is also found that the controversial narrow state, D_{sJ}^{}(2860), does not fit as predicted properties of our P-wave vector chiralon.

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