Gamma Ray Multiplicity Comparison of a 2-Neutron and a 4-Neutron Emission $^{252}$Cf Spontaneous Fission

The correlation between $\gamma $-ray multiplicity and neutron multiplicity in the fission process is not currently well known. Competing theories predict opposite correlations and experiments have measured only average properties. We have measured the $\gamma $-ray multiplicity spectrum of $^{252}$Cf spontaneous fission using the LiBerACE array, comprised of six high-purity germanium (HPGe) Clover detectors, each surrounded by 16 bismuth-germanate (BGO) detectors. The Clovers were arranged in a cubic pattern around a 1 $\mu $Ci $^{252}$Cf source. Neutron multiplicity was determined for two cases by identifying known correlated fission products from prompt $\gamma $-rays observed in the HPGe detectors. No difference in the $\gamma $-ray multiplicity spectrum was observed for fissions that produced $^{106}$Mo/$^{144}$Ba (2 neutrons) compared to those producing $^{106}$Mo/$^{142}$Ba (4 neutrons).