Ab initio calculations of 5H resonant states

Abstract

By solving the 5-body Faddeev-Yakubovsky equations in configuration space with realistic nuclear Hamiltonians we have studied the resonant states of 5H isotope. Two different methods, allowing to bypass the exponentially diverging boundary conditions, have been employed providing consistent results. The existence of 5H broad Jπ=1/2+,3/2+,5/2+ states as S-matrix poles has been confirmed and compared with the, also calculated, resonant states in 4H isotope. We have established that the positions of these resonances only mildly depend on the nuclear interaction model. Keywords: 4H and 5H, Faddeev-Yakubovsky equations, Few-nucleon problem, Ab initio calculations