Massratio condition for nonbinding of three twocomponent particles with contact interactions
Abstract
The binding of two heavy fermions interacting with a light particle via a contact interaction is possible only for a sufficiently large heavylight mass ratio. The twovariable inequality is derived to determine the specific massratio bound providing the absence of threebody bound states for lower values of the mass ratio. By means of this inequality, the massratio bound is found to be 5.26 for the total angular momentum and parity L^{P}=1^{} . For other L^{P} sectors, the massratio bounds providing the absence of threebody bound states is found in a similar way. For generality, the method is extended to determine also the massratio bounds for a system consisting of two identical bosons and a distinct particle for different L^{P} (L >0 ) sectors.
 Publication:

European Physical Journal Plus
 Pub Date:
 February 2023
 DOI:
 10.1140/epjp/s13360023037383
 arXiv:
 arXiv:2205.01245
 Bibcode:
 2023EPJP..138..147K
 Keywords:

 Condensed Matter  Quantum Gases;
 Physics  Atomic Physics;
 70F07;
 34L15
 EPrint:
 11 pages, 1 figure