First 0⁺ excited state of ¹⁶O in the α-particle model of light nuclei

The pole approximation that Narodetskii introduced into the theory of four-particle scattering is here applied to ¹⁶O, which is assumed to be composed of four structureless α particles. The binding energy of the excited 0+ state of ¹⁶O was calculated by using an Irving variational wave functions for the ground state of ¹²C and taking both Yukawa and exponential αα potentials. In the light of earlier theoretical results on ¹²C, comparing the present results with experiment suggests that at least for calculation of the bound states, the α-particle model of ¹⁶O is reasonable.