2025ApJ...979..217S

The molecular Kennicutt-Schmidt Law has been key for understanding star formation (SF) in galaxies across all redshifts. However, recent subkiloparsec observations of nearby galaxies reveal deviations from the nearly unity slope (N) obtained with disk-averaged measurements. We study SF and molecular gas (MG) distribution in the early-stage luminous infrared galaxy merger Arp 240 (NGC 5257-8). Using Very Large Array radio continuum (RC) and Atacama Large Millimeter/submillimeter Array CO(2-1) observations at 500 pc scale, with a uniform grid analysis, we estimate SF rates and MG surface densities (Σ_SFR and ${{\rm{\Sigma }}}_{{{\rm{H}}}_{2}}$, respectively). In Arp 240, N is sublinear at 0.52 ± 0.17. For NGC 5257 and NGC 5258, N is 0.52 ± 0.16 and 0.75 ± 0.15, respectively. We identify two SF regimes: high surface brightness (HSB) regions in RC with N ∼ 1, and low surface brightness (LSB) regions with shallow N (ranging 0.15 ± 0.09-0.48 ± 0.04). Median CO(2-1) linewidth and MG turbulent pressure (P_turb) are 25 km s^–1 and 9 × 10⁵ K cm^–3. No significant correlation was found between Σ_SFR and CO(2-1) linewidth. However, Σ_SFR correlates with P_turb, particularly in HSB regions (ρ > 0.60). In contrast, SF efficiency moderately anticorrelates with P_turb in LSB regions but shows no correlation in HSB regions. Additionally, we identify regions where peaks in SF and MG are decoupled, yielding a shallow N (≤0.28 ± 0.18). Overall, the range of N reflects distinct physical properties and distribution of both the SF and MG, which can be masked by disk-averaged measurements.