Date of Award
Thesis open access
Nirav P. Mehta
The phase diagrams for three-body and four-body systems with δ-function interactions are presented. The three-body and four body systems considered are the heavy-heavy-light (HHL) and heavy-heavy-heavy-light (HHHL) systems, respectively. The heavy particles are assumed to be identical. Both systems are treated within the Born-Oppenheimer approximation. The results from  are extended to arbitrary values of the heavy-heavy (HH) coupling. The phase diagram presented in  is reproduced, and the corresponding HHHL phase-diagram is presented. It was found that in both the three and four body systems the scattering lengths (atom-dimer for HHL and atom-trimer for HHHL) and spectra vary smoothly as the heavy-heavy interaction strength λ is varied from 0 to ∞.
Morehead, Connor D., "Phase Diagrams for Three-Body and Four-Body Systems in One Dimension" (2015). Physics & Astronomy Honors Theses. 9.