Azimuthal distribution, azimuthal correlation, and reaction plane dispersion in the reaction 10.6 MeV/nucleon ${}^{84}$Kr on ${}^{27}$Al

The azimuthal distribution and azimuthal correlation of the emitted light charge particles in coincidence with the forward-going heavy fragments in the reaction of 10.6 MeV/nucleon ${}^{84}\mathrm{Kr}$ on ${}^{27}\mathrm{Al}$ have been studied in detail. A novel way to extract the reaction plane dispersion by combining the azimuthal distribution constructed using the experimental measured reaction plane which contains a reaction plane dispersion and a two-particle azimuthal correlation which is free of reaction plane dispersion was described. This method was applied to the low-energy fission reaction ${}^{84}\mathrm{Kr}$+${}^{27}\mathrm{Al}$ at 10.6 MeV/nucleon for light particles, $p$ and $\alpha$, with success.