Renormalization-group study of the four-body problem
We perform a renormalization-group analysis of the nonrelativistic four-boson problem by means of a simple model with pointlike three- and four-body interactions. We investigate in particular the region where the scattering length is infinite and all energies are close to the atom threshold. We find...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
26 May 2010
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| In: |
Physical review. A, Atomic, molecular, and optical physics
Year: 2010, Volume: 81, Issue: 5, Pages: 1-11 |
| ISSN: | 1094-1622 |
| DOI: | 10.1103/PhysRevA.81.052709 |
| Online Access: | Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.81.052709 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.81.052709 
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| Author Notes: | Richard Schmidt, Sergej Moroz |
| Summary: | We perform a renormalization-group analysis of the nonrelativistic four-boson problem by means of a simple model with pointlike three- and four-body interactions. We investigate in particular the region where the scattering length is infinite and all energies are close to the atom threshold. We find that the four-body problem behaves truly universally, independent of any four-body parameter. Our findings confirm the recent conjectures of others that the four-body problem is universal, now also from a renormalization-group perspective. We calculate the corresponding relations between the four- and three-body bound states, as well as the full bound-state spectrum and comment on the influence of effective range corrections. |
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| Item Description: | Gesehen am 14.06.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1094-1622 |
| DOI: | 10.1103/PhysRevA.81.052709 |