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Abstract |
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) |
