# Ab initio calculations of 5H resonant states

## TL;DR

This study uses advanced ab initio methods to accurately calculate and confirm the existence of broad resonant states in the unstable $^5$H isotope, showing their properties are relatively insensitive to different nuclear interaction models.

## Contribution

It applies two novel computational approaches to solve the 5-body Faddeev-Yakubovsky equations, confirming the resonant states of $^5$H and comparing them with $^4$H, with results consistent across models.

## Key findings

- Confirmed broad resonant states in $^5$H with specific J$^{b}$ values.
- Resonance positions are only mildly affected by the choice of nuclear interaction model.
- Validated the use of two different methods for solving complex nuclear resonance problems.

## 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.