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 ${}^5$H isotope. Two different methods, allowing to bypass the exponentially diverging boundary conditions, have been employed providing consistent results. The existence of ${}^5$H broad J${}^{\pi }$=1/2${}^{+}$,3/2${}^{+}$,5/2${}^{+}$ states as S-matrix poles has been confirmed and compared with the, also calculated, resonant states in ${}^4$H isotope. We have established that the positions of these resonances only mildly depend on the nuclear interaction model.

Comments: to appear in Physics Letters B (2019)