Feasibility of studying the K${}_0^{\ast }(700)$ resonance using ${\pi }^{\pm }$K${}_{\mathrm{S}}^0$ femtoscopy

Abstract

The feasibility of using ${\pi }^{\pm }$K${}_{\mathrm{S}}^0$ femtoscopy to experimentally study the K${}_0^{\ast }(700)$ resonance is considered. The K${}_0^{\ast }(700)$ resonance is challenging to study due to its broad width and proximity in mass to the K${}^{\ast }(892)$, both of which predominantly decay via the $\pi$K channel. One of the main interests in the K${}_0^{\ast }(700)$ is that it is considered a candidate for a tetraquark state. It is proposed to use two-particle femtoscopic methods with ${\pi }^{\pm }$K${}_{\mathrm{S}}^0$ pairs produced in proton-proton and heavy ion collisions assuming a strong final-state interaction between them due to elastic scattering and/or via the K${}_0^{\ast }(700)$ resonance. Calculations of ${\pi }^{\pm }$K${}_{\mathrm{S}}^0$ correlation functions are made to estimate the strength of these final-state interactions and to see if this signal can be adequately separated from the K${}^{\ast }(892)$ background. A possible signature of diquark versus tetraquark behavior of the K${}_0^{\ast }(700)$ final-state interaction is also discussed.

Comments: 9 pages, submitted to J. Phys. G