Femtoscopy of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi></mml:math> mesons and light mesons upon unitarized effective field theories
Juan M. Torres-Rincón, À. Ramos, Laura Tolós
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 ${D}^{+},{D}^{*+},{D}_{s}^{+}$, and ${D}_{s}^{*+}$ with ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}$ and ${K}^{\ifmmode\pm\else\textpm\fi{}}$. From the obtained results---all of them accessible in $p+p$ collision experiments---we point up the case of ${D}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, which is sensitive to the lower state of the two-pole ${D}_{0}^{*}(2300)$ 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 ${D}_{s}^{+}{K}^{\ensuremath{-}}$ system to explore the higher pole of the ${D}_{0}^{*}(2300)$, 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 ${D}^{*+}{\ensuremath{\pi}}^{\ensuremath{-}}$ and ${D}_{s}^{*+}{K}^{\ensuremath{-}}$ pairs.