Correlated two-particle scattering on finite cavities

TL;DR

This paper analytically solves the correlated two-particle scattering problem within a finite cavity, revealing how the cavity influences two-particle phase shifts and bound states, using exactly solvable models with separable potentials.

Contribution

It introduces an exact analytical method for two-particle scattering in finite cavities, including phase shift and bound state analysis, with a focus on separable potentials.

Findings

Two-particle phase shifts are computed and compared to single-particle shifts.

The influence of the cavity on two-particle binding properties is quantified.

The method is demonstrated using exactly solvable models.

Abstract

The correlated two-particle problem is solved analytically in the presence of a finite cavity. The method is demonstrated here in terms of exactly solvable models for both the cavity as well as the two-particle correlation where the two-particle potential is chosen in separable form. The two-particle phase shift is calculated and compared to the single-particle one. The two-particle bound state behavior is discussed and the influence of the cavity on the binding properties is calculated.