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Article Dans Une Revue Physical Review A Année : 2022

Subleading contributions to $N$-boson systems inside the universal window

Alejandro Kievsky
  • Fonction : Auteur
Luca Girlanda
  • Fonction : Auteur

Résumé

We study bosonic systems in the regime in which the two-body system has a shallow bound state or, equivalently, a large value of the two-body scattering length. Using the effective field theory framework as a guide, we construct a series of potential terms which have decreasing importance in the description of the binding energy of the systems. The leading order potential terms consist of a two-body term, usually attractive, plus a three-body term, usually repulsive; this last term is required to prevent the collapse of systems with more than two particles. At this order, the parametrization of the two-body potential is done to obtain a correct description of the scattering length, which governs the dynamics in this regime, whereas the three-body term fixes a three-body datum. We investigate the role of the cut-off in the leading order description and we extend the exploration beyond the leading order by including the next-to-leading order terms in both, the two- and three-body potentials. We use the requirement of the stability of the N-body system, whose energy is variationally estimated, to introduce the three-body forces. The potential parametrization, as a function of the cut-off, is fixed to describe the energy of 4 He clusters up to seven particles within the expected accuracy. Finally, we also explore the possibility to describe at the same time the atom-dimer scattering length.

Dates et versions

hal-03704294 , version 1 (24-06-2022)

Identifiants

Citer

Paolo Recchia, Alejandro Kievsky, Luca Girlanda, Mario Gattobigio. Subleading contributions to $N$-boson systems inside the universal window. Physical Review A, 2022, 106 (2), pp.022812. ⟨10.1103/PhysRevA.106.022812⟩. ⟨hal-03704294⟩
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