Abstract
The S-wave Nucleon-Trinucleon phase shift has been obtained by solving the Faddeev-Osborn equation for the system of four identical bosons in the exact approach based on rigorous Faddeev theory. An s-wave spin-independent, rank two separable potential of the Tabakin type is used for the two-particle interaction. The calculated phase shift shows an existence of two different types of resonances. The first is a sharp resonance which can be assigned to the first excited state (J π T=0 + 0) of 4 He; the calculated resonance energy is 0.512 MeV compared with the experimental value of 0,395 MeV above the nucleon-trinucleon threshold. The second is a relatively broad resonance of the Breit-Wigner type; the calculated resonance energy is 1.137 MeV and the calculated level width is 0.866 MeV
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