Emergent four-body parameter in universal two-species bosonic systems
The description of unitary few-boson systems is conceptually simple: only one parameter -- the three-body binding energy -- is required to predict the binding energies of clusters with an arbitrary number of bosons. Whether this correlation between the three- and many-boson systems still holds for t...
Saved in:
Published in | arXiv.org |
---|---|
Main Authors | , , |
Format | Paper Journal Article |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
09.06.2021
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | The description of unitary few-boson systems is conceptually simple: only one parameter -- the three-body binding energy -- is required to predict the binding energies of clusters with an arbitrary number of bosons. Whether this correlation between the three- and many-boson systems still holds for two species of bosons for which only the inter-species interaction is resonant depends on how many particles of each species are in the system. For few-body clusters with species \(A\) and \(B\) and a resonant \(AB\) interaction, it is known that the emergent \(AAB\) and \(ABB\) three-body scales are correlated to the ground-state binding energies of the \(AAAB\) and \(ABBB\) systems, respectively. We find that this link between three and four bodies is broken for the \(AABB\) tetramer whose binding energy is neither constrained by the \(AAB\) nor by the \(ABB\) trimer. From this de-correlation, we predict the existence of a scale unique to the \(AABB\) tetramer. In our explanation of this phenomenon, we understand the \(AABB\) and \(AAAB\)/\(ABBB\) tetramers as representatives of two different universal classes of \(N\)-body systems with distinct renormalization-group and discrete-scaling properties. |
---|---|
ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.2103.14711 |