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

• URL: http://arxiv.org/abs/2601.20762v1
• Date: Wed, 28 Jan 2026 16:50:56 GMT
• Title: A Zero-Range Model for the Efimov Effect in the Born-Oppenheimer Approximation
• Authors: G. Basti, D. Ferretti, A. Teta,
• Abstract summary: We discuss the Efimov effect emerging in a three-particle quantum system with zero-range interactions.<n>We show that the three-particle system exhibits infinitely many negative eigenvalues which accumulate at zero.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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