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Main Authors: Wang, Ke, Preis, Thimo, Son, Dam Thanh
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2407.03102
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author Wang, Ke
Preis, Thimo
Son, Dam Thanh
author_facet Wang, Ke
Preis, Thimo
Son, Dam Thanh
contents We consider bosons interacting through a narrow $s$-wave resonance. Such a resonance is characterized by an infinite scattering length and a large and negative effective range $r_0$. We argue that any number $N\ge3$ of bosons can form a self-bound cluster with the binding energy per particle increasing as $N^2$ for $1\ll N\ll (-r_0/a_\text{bg})^{1/2}$, where $a_\text{bg}$ is the background scattering length (between atoms and molecules). In the opposite limit $N\gg (-r_0/a_\text{bg})^{1/2}$, bosons form droplets with binding energy per particle saturating to a constant value independent of the particle number. The stability of clusters and droplets when the interaction is detuned from the resonance is also studied.
format Preprint
id arxiv_https___arxiv_org_abs_2407_03102
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Droplets of Bosons at a Narrow Resonance
Wang, Ke
Preis, Thimo
Son, Dam Thanh
Quantum Gases
Nuclear Theory
We consider bosons interacting through a narrow $s$-wave resonance. Such a resonance is characterized by an infinite scattering length and a large and negative effective range $r_0$. We argue that any number $N\ge3$ of bosons can form a self-bound cluster with the binding energy per particle increasing as $N^2$ for $1\ll N\ll (-r_0/a_\text{bg})^{1/2}$, where $a_\text{bg}$ is the background scattering length (between atoms and molecules). In the opposite limit $N\gg (-r_0/a_\text{bg})^{1/2}$, bosons form droplets with binding energy per particle saturating to a constant value independent of the particle number. The stability of clusters and droplets when the interaction is detuned from the resonance is also studied.
title Droplets of Bosons at a Narrow Resonance
topic Quantum Gases
Nuclear Theory
url https://arxiv.org/abs/2407.03102