2014/02/12 by F. F. Bellotti, T. Frederico, M. T. Yamashita +3
Mathematics · Physics and Astronomy · #Adiabatic process #Adiabatic theorem #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Momentum (technical analysis) #Particle system #Quantum Mechanics and Non-Hermitian Physics #Space (punctuation) #Spectral Theory in Mathematical Physics #Upper and lower bounds #cond-mat.quant-gas
paper · pdf · doi:10.1007/s00601-014-0842-2
published in Few-Body Systems 55(8-10), 847-850 (Springer Science+Business Media) · 4 pages, 3 figures, published version
openalex publication_date 2014/02/12 · arxiv created 2014/11/11 · arxiv updated 2014/11/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Three-body systems in two dimensions with zero-range interactions are considered for general masses and interaction strengths. The problem is formulated in momentum space and the numerical solution of the Schrödinger equation is used to study universal properties of such systems with respect to the bound-state energies. The number of universal bound states is represented in a form of boundaries in a mass-mass diagram. The number of bound states is strongly mass dependent and increases as one particle becomes much lighter than the other ones. This behavior is understood through an accurate analytical approximation to the adiabatic potential for one light particle and two heavy ones.