  Collider experiments provide an opportunity to produce particles at close
distances and momenta. The measured correlation functions between particles can
provide information on both the effective emission source and the interaction
potential. In recent years, experiments at the LHC have shown that precision
studies of the strong interaction are possible using correlation techniques,
provided a good handle on the source function. The current work presents a new
numerical framework called Common Emission in CATS (CECA), capable of
simulating the effective emission source of an N-body system based on the
properties of the single particles. The framework differentiates between
primordial particle emission and particle production through resonances,
allowing to verify the hypothesis proposed by the ALICE collaboration that a
common baryon-baryon emission source is present in small collision systems. The
new framework is used to analyze ALICE data on pp and p$\Lambda$ correlations
and compare the results to previous studies based on the common emission source
scenario. It is demonstrated that the best fit to the p$\Lambda$ correlation
data is obtained using a scattering length of $1.15\pm0.07$ fm in the S=1
channel.
