Experimental and theoretical multipole mixing ratios in transitions ofPh208

$\gamma$-$\gamma$ directional correlations of the 277-583, 511-583, 722-583, 763-583, and 861-2615 keV cascades have been measured. The data support the spin and parity assignments of $\left(J\pi \right)=(6-)\mathrm{} \mathrm{and} \mathrm{}(5-)\mathrm{}$ to the 3920 and 3961 keV levels, respectively. The following experimental multipole mixing ratios were extracted from the data: $\delta \mathrm{}\left(277\right)=+0.0080\mathrm{}\pm 0.011$, $\delta \mathrm{}\left(511\right)=-0.052\mathrm{}\pm 0.045 or -0.68\mathrm{}\pm 0.08$, $\delta \mathrm{}\left(722\right)=+0.31\mathrm{}\pm 0.07$, $\delta \mathrm{}\left(763\right)=-0.01\mathrm{}\pm 0.06$, and $\delta \mathrm{}\left(861\right)=+0.015\mathrm{}\pm 0.012$. These mixing ratios were also calculated in the framework of the particle-hole model with the following results: $\delta \mathrm{}\left(277\right)=+0.0098\mathrm{}$, $\delta \mathrm{}\left(511\right)=+0.0196\mathrm{}$, $\delta \mathrm{}\left(722\right)=+0.1915\mathrm{}$, $\delta \mathrm{}\left(763\right)=-0.0653\mathrm{} or+0.0219\mathrm{}$, and $\delta \mathrm{}\left(861\right)=+0.0154\mathrm{}$. The two possible values of $\delta \mathrm{}\left(763\right)\mathrm{}$ correspond to the two theoretically predicted (5-) states at 4.00 and 4.18 MeV, respectively.