Jπ=4+level at 24.6 MeV excitation energy inHe4

Dynamical $R$-matrix methodology of Lane and Robson is used to determine the properties of the recently proposed $J^{\pi }=4^{+}$, $\Gamma \approx \mathrm{several}$ MeV, $T=0\mathrm{}$ state at 24.6 MeV excitation energy in the ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ system. The calculations lead to a $J^{\pi }=4^{+}$ state with the following properties: $E_x=42.4\mathrm{}$ MeV, $T=0\mathrm{}$, and $\Gamma =4.0\mathrm{}$ MeV. The model results and data are in reasonable agreement except for predictions of the excitation energy of the $4^{+}$ level. Discrepancies in the excitation energy may be due to model space truncation restrictions, model interaction inadequacies, or uncertainties in the experimental location of the ($4^{+}$,0) level.