Investigation of K${}^{+}$K${}^{-}$ interactions via femtoscopy in Pb$-$Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV at the LHC

Abstract

Femtoscopic correlations of non-identical charged kaons (${\mathrm{K}}^{+}{\mathrm{K}}^{-}$) are studied in Pb$-$Pb collisions at a center-of-mass energy per nucleon$-$nucleon collision $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV by ALICE at the LHC. One-dimensional ${\mathrm{K}}^{+}{\mathrm{K}}^{-}$ correlation functions are analyzed in three centrality classes and eight intervals of particle-pair transverse momentum. The Lednický and Luboshitz interaction model used in the ${\mathrm{K}}^{+}{\mathrm{K}}^{-}$ analysis includes the final-state Coulomb interactions between kaons and the final-state interaction through $a_0$(980) and $f_0$(980) resonances. The mass of $f_0$(980) and coupling were extracted from the fit to ${\mathrm{K}}^{+}{\mathrm{K}}^{-}$ correlation functions using the femtoscopic technique. The measured mass and width of the $f_0$(980) resonance are consistent with other published measurements. The height of the $\varphi$(1020) meson peak present in the ${\mathrm{K}}^{+}{\mathrm{K}}^{-}$ correlation function rapidly decreases with increasing source radius, qualitatively in agreement with an inverse volume dependence. A phenomenological fit to this trend suggests that the $\varphi$(1020) meson yield is dominated by particles produced directly from the hadronization of the system. The small fraction subsequently produced by final-state interactions could not be precisely quantified with data presented in this paper and will be assessed in future work.

arXiv comment24 pages, 4 captioned figures, 3 tables, authors from page 19, published version, figures at http://alice-publications.web.cern.ch/node/8682

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