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The analytical formulae for the phase space factors and the three-momenta ofthree- and four-body final states are derived for all sets of independentkinematic variables containing invariant mass variables. These formulae willhelp experimental physicist to perform the data analysis. As an example, weshow how to use these formulae to distinguish the different mechanisms of$e+p\to e+J/\psi+ p$ process for searching the signals of $P_c$ states at theenergy region of Electron-Ion collider at China (EicC).

Research on the Phase space of three- and four-body final states process