Upper bounds for critical coupling constants for binding some quantum many-body systems

TL;DR

This paper uses the envelope theory to compute upper bounds for the critical coupling constants necessary for binding in quantum many-body systems with short-range interactions, considering both identical particles and mixed systems.

Contribution

It introduces a method to estimate upper bounds for critical coupling constants in quantum many-body systems using envelope theory, applicable to systems with identical and mixed particles.

Findings

Upper bounds for critical coupling constants are derived.

The method applies to systems with identical particles.

Results provide estimates for binding thresholds.

Abstract

When particles interact via two-body short-range central potential wells, binding can occur for some critical values of the coupling constants. Using the envelope theory, upper bounds for critical coupling constants are computed for quantum nonrelativistic systems containing identical particles and systems containing identical particles plus a different one.