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The dineutron correlations and the crossover from superfluidity of neutronCooper pairs in the $^1S_0$ pairing channel to Bose-Einstein condensation (BEC)of dineutron pairs in both symmetric and neutron matter are studied within therelativistic Hartree-Bogoliubov theory, with the effective interaction PK1 ofthe relativistic mean-field approach in the particle-hole channel and thefinite-range Gogny force in the particle-particle channel. The influence of thepairing strength on the behaviors of dineutron correlations is investigated. Itis found that the neutron pairing gaps at the Fermi surface from three adoptedGogny interactions are smaller at low densities than the one from the barenucleon-nucleon interaction Bonn-B potential. From the normal (anomalous)density distribution functions and the density correlation function, it isconfirmed that a true dineutron BEC state does not appear in nuclear matter. Inthe cases of the Gogny interactions, the most BEC-like state may appear whenthe neutron Fermi momentum $k_{Fn}\thicksim0.3 \rm{fm^{-1}}$. Moreover, basedon the newly developed criterion for several characteristic quantities withinthe relativistic framework, the BCS-BEC crossover is supposed to realize in arevised density region with $k_{Fn}\in[0.15,0.63] \rm{fm^{-1}}$ in nuclearmatter.

Dineutron correlations and BCS-BEC crossover in nuclear matter with the Gogny pairing force