Speakers
Description
We present a numerical comparison between the Faddeev method—implemented via direct integration of homogeneous integral equations for the three-body T-matrix without partial-wave decomposition—and the hyperspherical harmonics (HH) method for computing binding energies of the three-nucleon systems (^3)H and (^3)He. Both approaches are applied using model nucleon–nucleon potentials. In the Faddeev method, the binding energy is determined by locating zeros of the Fredholm determinant of the discretized homogeneous system, while the HH method solves a set of coupled differential equations in the hyperradial coordinate. Our results confirm that both frameworks can reproduce experimental binding energies with comparable accuracy. Importantly, in both methods we observe similar grid-induced numerical artifacts—such as spurious roots or small shifts in binding energy—depending on the density and distribution of radial and angular grid points. These discretization effects highlight the necessity of careful convergence analysis and underscore the sensitivity of few-body calculations to numerical implementation details.
