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arXiv · 1201.6014

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

Shina Tan
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Abstract

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

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Shina Tan. 2012-01-29. Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror. https://doi.org/10.1103/physrevlett.109.020401

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