Dynamical $R$-matrix methodology is used to determine the properties of the recently proposed $J^{\pi }=2^{+}$, $\Gamma =3.5\mathrm{}$ MeV, $E_x\mathrm{}\left(\mathrm{res}\right)\mathrm{}=40.2\mathrm{}$ MeV resonance in ${}_{}{}^4{}_{}{}^{}\mathrm{He}$. The calculations lead to a $J^{\pi }=2^{+}$ state with the following properties: $\Gamma =6.0\mathrm{}$ MeV, $E_x\mathrm{}\left(\mathrm{res}\right)\mathrm{}=40.3\mathrm{}$ MeV, and $T=0\mathrm{}$. The calculations indicate the importance of $4\hslash \omega$ components in the proper description of the 40 MeV state.

[NUCLEAR STRUCTURE Calculated via dynamical $R$-matrix methodology the following properties for the proposed 40 MeV resonance in ${}_{}{}^4{}_{}{}^{}\mathrm{He}$: $J^{\pi }=2^{+}$, $T=0\mathrm{}$, $\Gamma =6.0\mathrm{}$ MeV, and $E_x\mathrm{}\left(\mathrm{res}\right)\mathrm{}=40.3\mathrm{}$ MeV.]

• Received 8 September 1980

DOI:https://doi.org/10.1103/PhysRevC.24.712