Reconstructing particle number distributions with convoluting volume fluctuations

We propose methods to reconstruct particle distributions with and without considering initial volume fluctuations. This approach enables us correct for detector efficiencies fluctuations simultaneously. Our study suggests such a tool could investigate the possible bimodal structure of net-proton distribution in Au+Au collisions at sNN= 7.7 GeV as signature first-order phase transition critical point hadronic matter (Bzdak et al., 2018; Bzdak Koch, 2019).