Gamma-Gamma Directional Correlation inMg24

The directional correlation between the 1.368-Mev gamma ray and the 2.75-Mev gamma ray of ${\mathrm{Mg}}^{24}$ was measured in an effort to strengthen the spin and parity assignment of the 4.12-Mev state. The data yield a least-squares solid-angle-corrected correlation function $W\left(\theta \right)=1+(0.102\mathrm{}\pm 0.003)P_2\left(cos\theta \right)+(0.009\mathrm{}\pm 0.005)\times P_4\left(cos\theta \right)$. This is consistent with the assignment (4+) for the 4.12-Mev state and analysis indicates that there can be at most 0.003% $M3\mathrm{}$ radiation mixed with pure $E2\mathrm{}$ radiation in the 2.75-Mev gamma ray transition.