<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>D</mml:mi></mml:math> -dimensional three-body bound-state problem with zero-range interactions

Four-Body Bound State Calculations in Three-Dimensional Approach

The four-body bound state with two-body interactions is formulated in Three-Dimensional approach, a recently developed momentum space representation which greatly simplifies the numerical calculations of few-body systems without performing the partial wave decomposition. The obtained three-dimensional Faddeev-Yakubovsky integral equations are solved with two-body potentials. Results for four-bo...

Three-Body System with Short-Range Interactions

Within the framework of non-relativistic scalar effective field theory (EFT) it is shown that the amplitude for a particle scattering off a two-body bound state, in leading order EFT, is entirely determined by two-body parameters. No three-body forces are required at the leading order. The arbitrary parameter present in the solution of the equation of Skorniakov and Ter-Martirosian for doublet ...

First-order transition in the one-dimensional three-state Potts model with long-range interactions

The first-order phase transition in the three-state Potts model with long-range interactions decaying as 1/r has been examined by numerical simulations using the recently proposed Luijten-Blöte algorithm. By applying scaling arguments to the interface free energy, the Binder’s fourth-order cumulant, and the specific heat maximum, the change in the character of the transition through variation o...

Effective Interactions for the Three-Body Problem

The three-body energy-dependent effective interaction given by the Bloch-Horowitz (BH) equation is evaluated for various shell-model oscillator spaces. The results are applied to the test case of the three-body problem (H and He), where it is shown that the interaction reproduces the exact binding energy, regardless of the parameterization (number of oscillator quanta or value of the oscillator...

Contemporary Status of the Three-Body Problem with Coulomb Interactions