TY - JOUR
AB - We give a lower bound on the ground state energy of a system of two fermions of one species interacting with two fermions of another species via point interactions. We show that there is a critical mass ratio m2 â‰ˆ 0.58 such that the system is stable, i.e., the energy is bounded from below, for mâˆˆ[m2,m2âˆ’1]. So far it was not known whether this 2 + 2 system exhibits a stable region at all or whether the formation of four-body bound states causes an unbounded spectrum for all mass ratios, similar to the Thomas effect. Our result gives further evidence for the stability of the more general N + M system.
AU - Moser, Thomas
AU - Seiringer, Robert
ID - 154
IS - 3
JF - Mathematical Physics Analysis and Geometry
SN - 13850172
TI - Stability of the 2+2 fermionic system with point interactions
VL - 21
ER -