Electric Hexadecapole Transition Moment inSm152

The Coulomb excitation of the $4^{+}$ rotational state of a deformed nucleus can proceed by both double $E2\mathrm{}$ and single $E4\mathrm{}$ transitions. The excitation cross section also contains a term corresponding to the interference between the two. The Coulomb excitation of ${}_{}{}^{152}{}_{}{}^{}\mathrm{Sm}$ with ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ projectiles has been carefully measured and the results were analyzed with a computer program including $E4\mathrm{}$ terms. Best fits were obtained for $〈0^{+}\parallel \mathfrak{M}\mathrm{}\left(E4\mathrm{}\right)\mathrm{}\parallel 4^{+}〉=(+0.35\mathrm{}\pm 0.11)e$ ${\mathrm{b}}^2$.