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Quantum State Preparation Representation

A Zero-Range Model for the Efimov Effect in the Born-Oppenheimer Approximation

arXiv
Authors: G. Basti, D. Ferretti, A. Teta

Year

2026

Paper ID

3192

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

In this note we discuss the Efimov effect emerging in a three-particle quantum system with zero-range interactions. In particular, we consider two non-interacting identical bosons plus a different lighter particle such that the interaction between a boson and the light particle is resonant. We also assume the validity of the Born-Oppenheimer approximation. Under these conditions, we show that the three-particle system exhibits infinitely many negative eigenvalues which accumulate at zero and satisfy the universal geometrical law characterising the Efimov effect. The result we find is a generalisation of previous results recently obtained in [13, 24].

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  • In this note we discuss the Efimov effect emerging in a three-particle quantum system with zero-range interactions.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.20762 [2] arXiv https://arxiv.org/abs/2601.20762 [3] Publisher https://arxiv.org/abs/2601.20762

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