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While diproton decay was first theorized in 1960 and first measured in 2002,it was first observed only in 2012. The measurement of $^{14}$Be in coincidencewith two neutrons suggests that $^{16}$Be does decay through the simultaneousemission of two strongly correlated neutrons. In this work, we construct a fullthree-body model of $^{16}$Be (as $^{14}$Be + n + n) in order to investigateits configuration in the continuum and in particular the structure of itsground state. In order to describe the three-body system, effective n-$^{14}$Bepotentials were constructed, constrained by the experimental information on$^{15}$Be. The hyperspherical R-matrix method was used to solve the three-bodyscattering problem, and the resonance energy of $^{16}$Be was extracted from aphase shift analysis. In order to reproduce the experimental resonance energyof $^{16}$Be within this three-body model, a three-body interaction was needed.For extracting the width of the ground state of $^{16}$Be, we use the fullwidth at half maximum of the derivative of the three-body phase shifts and thewidth of the three-body elastic scattering cross section. Our results confirm adineutron structure for $^{16}$Be, dependent on the internal structure of thesubsystem $^{15}$Be.

Three-body model for the two-neutron decay of $^{16}$Be