Possibility of generating a 4-neutron resonance with a T =3 /2 isospin 3-neutron force

We consider the theoretical possibility of generating a narrow resonance in the 4-neutron system as suggested by a recent experimental result. To that end, a phenomenological T =3 /2 3-neutron force is introduced, in addition to a realistic N N interaction. We inquire what the strength should be of the 3 n force to generate such a resonance. The reliability of the 3-neutron force in the T =3 /2 channel is examined, by analyzing its consistency with the low-lying T =1 states of ⁴H,⁴He, and ⁴Li and the ³H+n scattering. The ab initio solution of the 4 n Schrödinger equation is obtained using the complex scaling method with boundary conditions appropriate to the four-body resonances. We find that to generate narrow 4 n resonant states a remarkably attractive 3 N force in the T =3 /2 channel is required.