Conceptual

Nucleon-Nucleon Scattering in Quantum Mechanics using Square Well Potentials

The abstract theory concerns nucleon-nucleon scattering within non-relativistic quantum mechanics, utilizing the Schrödinger equation with spherically symmetric square well potentials to model nuclear interactions. The core mechanism involves solving for radial wave functions subject to boundary conditions at the potential radius and zero origin, leading to phase shifts that define differential and total cross-sections via probability current conservation. This formalism establishes how scattering data relates spin-dependent forces (singlet vs. triplet states) to derive specific values for nuclear interaction potentials in physics.