Theoretical description of three- and four-nucleon scattering states using bound-state-like wave functions

TL;DR

This paper introduces a theoretical approach using bound-state-like wave functions to analyze low-energy nucleon-deuteron and proton-Helium-3 scattering, employing integral relations from the Kohn variational principle.

Contribution

It presents a novel method to determine scattering matrices with bound-state-like wave functions, applicable to realistic nucleon interactions.

Findings

Successfully applied to low-energy scattering scenarios

Demonstrates the construction of continuum spectrum wave functions

Uses realistic nucleon-nucleon forces in examples

Abstract

Bound-state-like wave functions are used to determine the scattering matrix corresponding to low energy $N-d$ and $p-^3$He collisions. To this end, the coupled channel form of the integral relations derived from the Kohn variational principle is used. The construction of degenerate bound-state-like wave functions belonging to the continuum spectrum of the Hamiltonian is discussed. Examples are shown using realistic nucleon-nucleon forces.