  Femtoscopic correlations of non-identical charged kaons ($\rm K^+ K^-$) 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 $\rm K^+ K^-$ correlation functions are analyzed in three
centrality classes and eight intervals of particle-pair transverse momentum.
The Lednick\'y and Luboshitz interaction model used in the $\rm K^+ K^-$
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 $\rm K^+ K^-$
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 $\phi$(1020) meson peak present in the $\rm K^+
K^-$ 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 $\phi$(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.
