Mass-Imbalanced Three-Body Systems in 2D: Bound States and the Analytical Approach to the Adiabatic Potential

TY - GEN

T1 - Mass-Imbalanced Three-Body Systems in 2D: Bound States and the Analytical Approach to the Adiabatic Potential

AU - Bellotti, F. F.

AU - Frederico, T.

AU - Yamashita, M. T.

AU - Fedorov, D. V.

AU - Jensen, A. S.

AU - Zinner, Nikolaj Thomas

PY - 2014/8/1

Y1 - 2014/8/1

N2 - 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.

AB - 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.

U2 - 10.1007/s00601-014-0842-2

DO - 10.1007/s00601-014-0842-2

M3 - Conference article

SN - 0177-7963

VL - 55

SP - 847

EP - 850

JO - Few-Body Systems

JF - Few-Body Systems

IS - 8-10

ER -