Null-plane model of three bosons with zero-range interaction

Matteo Gallone, Alessandro Michelangeli

Nirav P. Mehta, James A. Shepard

J. P. B. C. de Melo, Antonio Eduardo Assis Amorim, Lauro Tomio +1 more

The Relativistic formulation of the three-boson model interacting via a zero-range two-body force in the null-plane is given in 2+1 and 1+1 space-time dimension. The bound state energy is calculed as function of the two-body boson binding energy.

Zhen-Kai Lu, Yun Li, Dmitry S. Petrov +1 more

We consider two-dimensional bosonic dipoles oriented perpendicularly to the plane. On top of the usual two-body contact and long-range dipolar interactions we add a contact three-body repulsion as expected, in particular, for dipoles in the bilayer geometry with tunneling. The three-body repulsion is crucial for stabilizing the system, and we show that our model allows for stable continuous space supersolid states in the dilute regime and calculate the zero-temperature phase diagram.

Shina Tan

Giulia Basti, Rodolfo Figari, Alessandro Teta

We present two possible strategies to obtain a lower bounded Hamiltonian for three bosons interacting through zero-range interactions. First, we investigate a family of zero-range Hamiltonians defined in a Hilbert space of tensorial wave functions. Then, we examine the regularizing effect of an ultraviolet cutoff on the boundary conditions satisfied by functions in the form domain of zero-range Hamiltonians of a three boson system.