Correlated two-particle scattering on finite cavities
  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. 
K. Morawetz, M. Schreiber, B. Schmidt, A. Ficker and P. Lipavsk\'y