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We perform a reanalysis of the energy levels obtained in a recent lattice QCDsimulation, from where the existence of bound states of $KD$ and $KD^*$ areinduced and identified with the narrow $D_{s0}^*(2317)$ and $D_{s1}^*(2460)$resonances. The reanalysis is done in terms of an auxiliary potential,employing a single-channel basis $KD^{(*)}$, and a two-channel basis $KD^{(*)},\eta D_s^{(*)}$. By means of an extended L\"uscher method we determine poles ofthe continuum $t$-matrix, bound by about 40 MeV with respect to the $KD$ and$KD^*$ thresholds, which we identify with the $D_{s0}^*(2317)$ and$D_{s1}^*(2460)$ resonances. Using a sum rule that reformulates Weinbergcompositeness condition we can determine that the state $D_{s0}^*(2317)$contains a $KD$ component in an amount of about 70%, while the state$D_{s1}^*(2460)$ contains a similar amount of $KD^*$. We argue that the presentlattice simulation results do not still allow us to determine which are themissing channels in the bound state wave functions and we discuss the necessaryinformation that can lead to answer this question.

Reanalysis of lattice QCD spectra leading to the $D_{s0}^*(2317)$ and $D_{s1}^*(2460)$

Reanalysis of lattice QCD spectra leading to the $D_{s0}^(2317)$ and $D_{s1}^(2460)$