2 research outputs found
Borromean Binding of Three or Four Bosons
We estimate the ratio of the critical coupling constants
and which are required to achieve binding of 2 or 3 bosons,
respectively, with a short-range interaction, and examine how this ratio
depends on the shape of the potential. Simple monotonous potentials give
. A wide repulsive core pushes this ratio close to R=1. On the
other hand, for an attractive well protected by an external repulsive barrier,
the ratio approaches the rigorous lower bound . We also present results
for N=4 bosons, sketch the extension to , and discuss various
consequences.Comment: 12 pages, RevTeX, 5 Figures in tex include