Renormalization-group study of the four-body problem

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.052709· OSTI ID:21408836

Schmidt, Richard ^[1]; Moroz, Sergej ^[2]

---

1. Physik Department, Technische Universitaet Muenchen, James-Franck-Strasse, D-85748 Garching (Germany)
2. Institut fuer Theoretische Physik, Universitaet Heidelberg, Philosophenweg 16, D-69120 Heidelberg (Germany)

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.

• OSTI ID: 21408836
• Journal Information: Physical Review. A, Vol. 81, Issue 5; Other Information: DOI: 10.1103/PhysRevA.81.052709; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOMS
BOSONS
BOUND STATE
CORRECTIONS
FOUR-BODY PROBLEM
INTERACTIONS
RENORMALIZATION
SCATTERING LENGTHS
SPECTRA
THREE-BODY PROBLEM
DIMENSIONS
LENGTH
MANY-BODY PROBLEM