  Results obtained by various experiments show that the $D_{s0}^{\ast}(2317)$
and $D_{s1}(2460)$ mesons are very narrow states located below the $DK$ and
$D^{\ast}K$ thresholds, respectively. This is markedly in contrast with the
expectations of naive quark models and heavy quark symmetry. Motivated by a
recent lattice study which addresses the mass shifts of the $c\bar{s}$ ground
states with quantum numbers $J^{P}=0^{+}$ ($D_{s0}^{\ast}(2317)$) and
$J^{P}=1^{+}$ ($D_{s1}(2460)$) due to their coupling with $S$-wave
$D^{(\ast)}K$ thresholds, we perform a similar analysis within a
nonrelativistic constituent quark model in which quark-antiquark and
meson-meson degrees of freedom are incorporated. The quark model has been
applied to a wide range of hadronic observables and thus the model parameters
are completely constrained. The coupling between quark-antiquark and
meson-meson Fock components is done using a $^{3}P_{0}$ model in which its only
free parameter $\gamma$ has been elucidated performing a global fit to the
decay widths of mesons that belong to different quark sectors, from light to
heavy. We observe that the coupling of the $0^{+}$ $(1^{+})$ meson sector to
the $DK$ $(D^{\ast}K)$ threshold is the key feature to simultaneously lower the
masses of the corresponding $D_{s0}^{\ast}(2317)$ and $D_{s1}(2460)$ states
predicted by the naive quark model and describe the $D_{s1}(2536)$ meson as the
$1^{+}$ state of the $j_{q}^{P}=3/2^{+}$ doublet predicted by heavy quark
symmetry, reproducing its strong decay properties. Our calculation allows to
introduce the coupling with the $D$-wave $D^{\ast}K$ channel and the
computation of the probabilities associated with the different Fock components
of the physical state.
