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The critical point of strongly interacting matter is searched for at the CERNSPS by the NA61/SHINE experiment in central $^{40}$Ar +$^{45}$Sc collisions at13$A$, 19$A$, 30$A$, 40$A$, and 75$A$ GeV/$c$. The dependence of thesecond-order scaled factorial moments of proton multiplicity distributions onthe number of subdivisions in transverse momentum space is measured. Theintermittency analysis uses statistically independent data sets for everysubdivision in transverse and cumulative-transverse momentum variables.  The results obtained do not indicate the searched intermittent pattern. Anupper limit on the fraction of correlated protons and the intermittency indexis obtained based on a comparison with the Power-law Model.

Search for a critical point of strongly-interacting matter in central $^{40}$Ar +$^{45}$Sc collisions at 13$A$-75$A$ GeV/$c$ beam momentum