New spectrum of charm-strange meson with constituent quark model $c\bar{s}$ contributions

Abstract

We systematically investigate the $S$-wave interactions between Nambu-Goldstone bosons (NGBs) and charmed mesons in the $(S,I)=(1,0)$ sector using the chiral unitary approach. The scattering amplitudes incorporate both the Weinberg-Tomozawa term and additional contributions from $s$- and $u$-channel exchanges of $c\bar{s}$ states predicted by the constituent quark model (CQM). Through analytic continuation of the unitarized amplitudes to the complex energy plane, we identify multiple poles corresponding to bound states and resonances. Our analysis reveals a rich spectrum of $D_{sJ}$ states across $J^P = 0^+, 1^+, 1^-$, and $2^-$ sectors, providing new insights into the nature of established resonances like $D_{s0}^*(2317)$ and $D_{s1}(2460)$, while predicting several new states that could be observed in future experiments.