Affiliation:
1. University of Paris-Saclay
2. Institute of Photonic Sciences
Abstract
We study binding of NN identical heavy fermions by a light atom in two dimensions assuming zero-range attractive heavy-light interactions. By using the mean-field theory valid for large NN we show that the N+1N+1 cluster is bound when the mass ratio exceeds 1.074N^21.074N2. The mean-field theory, being scale invariant in two dimensions, predicts only the shapes of the clusters leaving their sizes and energies undefined. By taking into account beyond-mean-field effects we find closed-form expressions for these quantities. We also discuss differences between the Thomas-Fermi and Hartree-Fock approaches for treating the heavy fermions.
Funder
Agence Nationale de la Recherche
Agencia Estatal de Investigación
European Commission
European Research Council
Generalitat de Catalunya
HORIZON EUROPE Framework Programme
Horizon 2020
Ministerio de Ciencia e Innovación
Ministerio de Economía y Competitividad
“la Caixa” Foundation