An Effective Theory for the Four-Body System

We consider the non-relativistic four-body system with large scattering length and short-range interactions within an effective theory with contact interactions only. We compute the binding energies of the 4He tetramer and of alpha-particle. The well-known linear correlation between the three-body binding energies and the four-body binding energies of these physical systems can be understood as a consequence of the absence of a four-body force at leading order.Comment: 3 pages, 2 ps figures, oral contribution, 19th European Few-Body Conference (EFB2004), Groningen, Netherlands, August 23 - August 27, 200

Universality in the triton charge form factor

We consider the three-nucleon system within an effective theory with contact interactions at leading order in the large scattering length. We calculate the charge form factor of the triton at low momentum transfer and extract the triton charge radius. At this order, no two-body currents contribute and the calculation can be performed in the impulse approximation. We also comment on the power counting for higher orders. The requirement of a three-body force for renormalization of the three-nucleon system explains the previously observed correlation between the triton binding energy and charge radius for different model potentials.Comment: 11 pages, 2 eps figures, revtex4, version to appear in Nucl. Phys.

Large-N droplets in two dimensions

Using lattice effective field theory, we study the ground state binding energy of N distinct particles in two dimensions with equal mass interacting weakly via an attractive SU(N)-symmetric short range potential. We find that in the limit of zero range and large N, the ratio of binding energies B_{N}/B_{N-1} approaches the value 8.3(6).Comment: 18 pages, 6 figures, version to appear in Phys. Rev.

Effective Range Corrections in Few-Body Systems with large Scattering Length

The effective field theory with contact interactions alone is a powerful tool to compute low-energy observables for three-body systems with large scattering length. Recent calculations including effective range corrections are discussed and results are presented.Comment: 5 pages, 2 figures, talk given at the 18th International IUPAP Conference on Few-Body Problems in Physics, August 21-26 2006, Santos, Sao Paulo, Brazi

Threshold behavior of bosonic two-dimensional few-body systems

Bosonic two-dimensional self-bound clusters consisting of $N$ atoms interacting through additive van der Waals potentials become unbound at a critical mass m*(N); m*(N) has been predicted to be independent of the size of the system. Furthermore, it has been predicted that the ground state energy E(N) of the N-atom system varies exponentially as the atomic mass approaches m*. This paper reports accurate numerical many-body calculations that allow these predictions to be tested. We confirm the existence of a universal critical mass m*, and show that the near-threshold behavior can only be described properly if a previously neglected term is included. We comment on the universality of the energy ratio E(N+1)/E(N) near threshold.Comment: 6 pages, 3 figure

Beyond universality in three-body recombination: an Effective Field Theory treatment

We discuss the impact of a finite effective range on three-body systems interacting through a large two-body scattering length. By employing a perturbative analysis in an effective field theory well suited to this scale hierarchy we find that an additional three-body parameter is required for consistent renormalization once range corrections are considered. This allows us to extend previously discussed universal relations between different observables in the recombination of cold atoms to account for the presence of a finite effective range. We show that such range corrections allow us to simultaneously describe the positive and negative scattering-length loss features observed in recombination with Lithium-7 atoms by the Bar-Ilan group. They do not, however, significantly reduce the disagreement between the universal relations and the data of the Rice group on Lithium-7 recombination at positive and negative scattering lengths.Comment: 15 pages, 4 figure

Universal Properties of the Four-Body System with Large Scattering Length

Few-body systems with large scattering length have universal properties that do not depend on the details of their interactions at short distances. We study the universal bound state properties of the four-boson system with large scattering length in an effective quantum mechanics approach. We compute the four-body binding energies using the Yakubovsky equations for positive and negative scattering length. Moreover, we study the correlation between three- and four-body energies and present a generalized Efimov plot for the four-body system. These results are useful for understanding the cluster structure of nuclei and for the creation of weakly-bound tetramers with cold atoms close to a Feshbach resonance.Comment: 14 pages, 4 ps figures, minor changes, version to appear in EPJ