Renormalization-group study of the four-body problem

• Verfasst von: Schmidt, Richard [VerfasserIn]
• Verfasst von: Moroz, Sergej [VerfasserIn]
• Titel: Renormalization-group study of the four-body problem
• Verf.angabe: Richard Schmidt, Sergej Moroz
• E-Jahr: 2010
• Jahr: 26 May 2010
• Umfang: 11 S.
• Fussnoten: Gesehen am 14.06.2023
• Titel Quelle: Enthalten in: Physical review / A
• Ort Quelle: College Park, Md., 1970
• Jahr Quelle: 2010
• Band/Heft Quelle: 81(2010), 5 vom: Mai, Artikel-ID 052709, Seite 1-11
• ISSN Quelle: 1094-1622
• DOI: doi:10.1103/PhysRevA.81.052709
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1848948786

Abstract

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.