Microscopic investigation of the 12C + 12C interaction

The ¹²C + ¹²C system is studied in the framework of the generator coordinate method. Each ¹²C nucleus is described by a closed $\text{p}{}_{\mathrm{<mtext>3</mtext><mtext>2</mtext>}}$ subshell. Phase shifts and resonances are determined for several effective two-body interactions involving a spin-orbit term. The existence and properties of simple local equivalent potentials for the ¹²C + ¹²C collision are discussed. The ¹²C + ¹²C system is too light to be well described by potentials independent of the angular momentum or weakly dependent on it.