Femtoscopic signatures of the lightest <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-wave scalar open-charm mesons
M. Albaladejo, J. Nieves, E. Ruiz Arriola
Abstract
We predict femtoscopy correlation functions for $S$-wave ${D}_{(s)}\ensuremath{\phi}$ pairs of lightest pseudoscalar open-charm mesons and Goldstone bosons from next-to-leading-order unitarized heavy-meson chiral perturbation theory amplitudes. The effect of the two-state structure around 2300 MeV can be clearly seen in the $(S,I)=(0,1/2)$ $D\ensuremath{\pi}$, $D\ensuremath{\eta}$, and ${D}_{s}\overline{K}$ correlation functions, while in the scalar-strange (1,0) sector, the ${D}_{s0}^{*}(2317{)}^{\ifmmode\pm\else\textpm\fi{}}$ state lying below the $DK$ threshold produces a depletion of the correlation function near threshold. These exotic states owe their existence to the nonperturbative dynamics of Goldstone-boson scattering off ${D}_{(s)}$. The predicted correlation functions could be experimentally measured and will shed light into the hadron spectrum, confirming that it should be viewed as more than a collection of quark model states.