Efimov spectrum in bosonic systems with increasing number of particles

Abstract

It is well-known that three-boson systems show the Efimov effect when the two-body scattering length $a$ is large with respect to the range of the two-body interaction. This effect is a manifestation of a discrete scaling invariance (DSI). In this work we study DSI in the $N$-body system by analysing the spectrum of $N$ identical bosons obtained with a pairwise gaussian interaction close to the unitary limit. We consider different universal ratios such as $E_N^0/E_3^0$ and $E_N^1/E_N^0$, with $E_N^i$ being the energy of the ground ($i=0$) and first-excited ($i=1$) state of the system, for $N\le 16$. We discuss the extension of the Efimov radial law, derived by Efimov for $N=3$, to general $N$.

arXiv comment4 pages, 3 figures, presented at the 22nd European Conference on Few-Body Problems in Physics, Cracow (Poland)

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• Universality in Few-body Systems with Large Scattering Length
• Weakly Bound Cluster States of Efimov Character
• Spectra of helium clusters with up to six atoms using soft core potentials
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Cited by in corpus (3)

• Efimov Physics and Connections to Nuclear Physics
• $N$-boson spectrum from a Discrete Scale Invariance
• Hyperspherical cluster model for bosons: application to sub-threshold halo states in helium drops