Femtoscopy of $D$ mesons and light mesons upon unitarized effective field theories

Abstract

Hadron femtoscopy has turned into a powerful tool for accessing space-time information of heavy-ion collisions as well as for studying final-state interactions of hadrons. Recently, heavy-flavor femtoscopy has become feasible using the ALICE detector at the LHC. We compute the correlation function of $D$ mesons and light mesons using an off-shell $T$-matrix approach to access the two-meson wave function, and predict the correlation functions involving charged $D^{+},D^{\ast +},D_s^{+}$ and $D_s^{\ast +}$ with ${\pi }^{\pm }$ and $K^{\pm }$. From the obtained results -- all of them accessible in $p+p$ collision experiments -- we point up the case of $D^{+}{\pi }^{-}$, which is sensitive to the lower state of the two-pole $D_0^{\ast }(2300)$ system. The presence of such poles imprints a depletion on the correlation function, which could potentially be detected in experiments. While preliminary ALICE data do not show evidence of this effect, we suggest to look into the $D_s^{+}{K}^{-}$ system to explore the higher pole of the $D_0^{\ast }(2300)$, as the depletion in the correlation function is more pronounced. Using heavy-quark spin symmetry we also propose exploring the effect of the two poles of the $D_1(2430)$ and predict similar structures in the correlation functions of the $D^{\ast +}{\pi }^{-}$ and $D_s^{\ast +}{K}^{-}$ pairs.

Comments: 28 pages, 6 figures (data points in ancillary data). v2: Version accepted by Phys.Rev.D journal, containing additional references and providing the pole positions of the generated resonances by the off-shell T-matrix equation