Critical stability of three-body relativistic bound states with zero-range interaction
Abstract
For zero-range interaction providing a given mass M2 of the two-body bound state, the mass M3 of the relativistic three-body bound state is calculated. We have found that the three-body system exists only when M2 is greater than a critical value Mc (approx. 1.43m for bosons and approx. 1.35m for fermions, m is the constituent mass). For M2=Mc the mass M3 turns into zero and for M2<Mc there is no solution with real value of M3.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.