Researchers observed the condensation of fermionic atom pairs in the BCS-BEC crossover regime using a magnetic-field Feshbach resonance. A trapped gas of fermionic potassium-40 atoms was cooled to quantum degeneracy, and interactions were controlled via the resonance. The resonance position was determined through low-density molecule dissociation measurements. A technique was developed to project fermionic atoms onto molecules, enabling measurement of the momentum distribution of fermionic pairs. The transition to condensation was mapped as a function of initial temperature and magnetic-field detuning. Fermionic atom pairs condense on both sides of the Feshbach resonance, with the BCS side (attractive interactions) showing significant challenges in observing condensation due to the lack of a weakly bound molecular state. A magnetic-field sweep was used to project atoms onto molecules, allowing measurement of the momentum distribution. The condensate fraction was measured as a function of detuning from the resonance and initial Fermi temperature. The results show that condensation occurs near and on both sides of the resonance, with a longer lifetime on the BCS side. The study demonstrates the ability to observe fermionic condensates in the BCS-BEC crossover regime, far from the BCS limit. The results confirm a smooth transition between BCS superfluidity and BEC of molecules. The observed condensate is interpreted as superfluidity. This experiment follows over two decades of theoretical work and marks the beginning of experimental study of this physics. The findings highlight the importance of the Feshbach resonance in controlling interactions and the role of many-body effects in fermionic condensation.Researchers observed the condensation of fermionic atom pairs in the BCS-BEC crossover regime using a magnetic-field Feshbach resonance. A trapped gas of fermionic potassium-40 atoms was cooled to quantum degeneracy, and interactions were controlled via the resonance. The resonance position was determined through low-density molecule dissociation measurements. A technique was developed to project fermionic atoms onto molecules, enabling measurement of the momentum distribution of fermionic pairs. The transition to condensation was mapped as a function of initial temperature and magnetic-field detuning. Fermionic atom pairs condense on both sides of the Feshbach resonance, with the BCS side (attractive interactions) showing significant challenges in observing condensation due to the lack of a weakly bound molecular state. A magnetic-field sweep was used to project atoms onto molecules, allowing measurement of the momentum distribution. The condensate fraction was measured as a function of detuning from the resonance and initial Fermi temperature. The results show that condensation occurs near and on both sides of the resonance, with a longer lifetime on the BCS side. The study demonstrates the ability to observe fermionic condensates in the BCS-BEC crossover regime, far from the BCS limit. The results confirm a smooth transition between BCS superfluidity and BEC of molecules. The observed condensate is interpreted as superfluidity. This experiment follows over two decades of theoretical work and marks the beginning of experimental study of this physics. The findings highlight the importance of the Feshbach resonance in controlling interactions and the role of many-body effects in fermionic condensation.