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

Abstract

The analytical formulae for the phase space factors and the three-momenta of three- and four-body final states are derived for all sets of independent kinematic variables containing invariant mass variables. These formulae will help experimental physicist to perform the data analysis. As an example, we show 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 the energy region of Electron-Ion collider at China (EicC).

arXiv comment27 pages, 6 figures

References in corpus (8)

• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• First measurement of near-threshold J/$\psi$ exclusive photoproduction off the proton
• Sector Decomposition
• Four-Particle Phase Space Integrals in Massless QCD
• Nucleon Resonances with Hidden Charm in $\gamma p$ reactions
• Identify the hidden charm pentaquark signal from non-resonant background in electron-proton scattering
• Graphic Method for Arbitrary $n$-body Phase Space