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Some novel TWO-body effects analogous to the well-known THREE-body Efimoveffect are predicted. In the systems considered, particle A is constrained on aTRUNCATED or BENT one-dimensional line or two-dimensional plane, or on one sideof a flat mirror in three dimensions (3D). The constraining potential isfine-tuned such that particle A's ground state wave function is a constant inthe region in which it is constrained. Particle B moves in 3D and interactswith particle A resonantly. An infinite sequence of giant two-body bound statesare found in each case.

Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror