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Neutral current quasielastic (anti)neutrino scattering cross sections on a$^{12}$C target are analyzed using a realistic spectral function $S(p,E)$ thatgives a scaling function in accordance with the ($e,e'$) scattering data. Thespectral function accounts for the nucleon-nucleon (NN) correlations by usingnatural orbitals (NOs) from the Jastrow correlation method and has a realisticenergy dependence. The standard value of the axial mass $M_A= 1.032$ GeV isused in all calculations. The role of the final-state interaction (FSI) on thespectral and scaling functions, as well as on the cross sections is accountedfor. A comparison of the calculations with the empirical data of the MiniBooNEand BNL experiments is performed. Our results are analyzed in comparison withthose when NN correlations are not included, and also with results from othertheoretical approaches, such as the relativistic Fermi gas (RFG), therelativistic mean field (RMF), the relativistic Green's function (RGF), as wellas with the SuperScaling Approach (SuSA) based on the analysis of quasielasticelectron scattering.

Neutral current quasielastic (anti)neutrino scattering beyond the Fermi gas model at MiniBooNE and BNL kinematics