Speakers
Description
We present an implementation of the hyperspherical harmonics method for computing binding energies of three-body nuclear systems, specifically ³H and ³He. The approach is based on expanding the three-body wave function in a hyperspherical harmonics basis, which reduces the many-body Schrödinger equation to a system of coupled ordinary differential equations in the hyperradial coordinate. Using a finite-difference scheme, we solve these equations numerically for a model nucleon–nucleon potential and investigate the convergence of binding energies with respect to the number of included hypermomentum channels and the density of the radial grid. The Coulomb interaction between protons in the ³He system is incorporated via a screened potential, and its effect on the binding energy is systematically analyzed. Our results demonstrate good agreement with experimental binding energies and confirm the capability of the method to reproduce key physical features—such as the Coulomb energy shift—while remaining computationally tractable.
