Dmitry Petrov

I will describe our work with Betzalel Bazak on the N+1-body fermionic problem in three dimensions [1] and N-boson problem in two dimensions [2]. By developing a new method of solving few-body integral equations we are able to obtain precise results for ground state energies. In particular, we predict a universal pentamer state and five-body Efimov effect for the 4+1 fermionic problem and quantify the few-to-many-body crossover for two-dimensional bosons. I point to Refs. [3] and [4] as a recommended reading.

[1] B. Bazak and D.S. Petrov, « Five-body Efimov effect and universal pentamer in fermionic mixtures », Phys. Rev. Lett. 118, 083002 (2017) [2] B. Bazak and D.S. Petrov, « Energy of N two-dimensional bosons with zero-range interactions », arXiv:1711.02345 [3] Y. Castin, C. Mora, and L. Pricoupenko, « Four-Body Efimov Effect for Three Fermions and a Lighter Particle », Phys. Rev. Lett. 105, 223201 (2010) [4] H.-W. Hammer and D. T. Son, « Universal Properties of Two-Dimensional Boson Droplets », Phys. Rev. Lett. 93, 250408 (2004)