Nuclear ^-K Bound States in ⁴He and ³He

We construct a phenomenological ^-KN interaction which reproduces the two resonances: the energy of the first resonance is 1420MeV and the other is
1392MeV. The λ(1405) is found by a superposition of the two resonances with appropriate weights. Within the framework of the Brueckner-Hartree-Fock theory, we have studied K^--³He(T=0) and K^--⁴He(T=1/2). The binding energy B_K^- is 93MeV(72MeV) and the width Γ is 13MeV(25MeV) for K^--³He(T=0) (K^--⁴He(T=1/2)).