Four-boson scale near a Feshbach resonanceM. T. Yamashita1, Lauro Tomio2, A. Delfino3 and T. Frederico4
1 Universidade Estadual Paulista - 18409-010, Itapeva, SP, Brazil
2 Instituto de Física Teórica, Universidade Estadual Paulista 01405-900, São Paulo, SP, Brazil
3 Instituto de Física, Universidade Federal Fluminense 24210-900, Niterói, RJ, Brazil
4 Departamento de Física, Instituto Tecnológico de Aeronáutica Centro Técnico Aeroespacial - 12228-900 São José dos Campos, SP, Brazil
received 8 April 2006; accepted in final form 20 June 2006
published online 7 July 2006
We show that an independent four-body momentum scale drives the tetramer binding energy for fixed trimer energy (or three-body scale ) and large scattering length (a). The three- and four-body forces from the one-channel reduction of the atomic interaction near a Feshbach resonance disentangle and . The four-body independent scale is also manifested through a family of Tjon lines, with slope given by for a-1=0. There is the possibility of a new renormalization group limit cycle due to the new scale.
21.45.+v - Few-body systems.
36.40.-c - Atomic and molecular clusters.
05.10.Cc - Renormalization group methods.
© EDP Sciences 2006