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  1. May 21, 2024In this paper we address the large-Nlimit of the two-dimensional N+1-body problem by applying the mean-field (MF) approximation together with the local-density Thomas-Fermi (TF) assumption for the energy of an ideal Fermi gas. We show that the N+ 1 cluster emerges for M/m= 2N2/C, where C= 1.862. At this critical point the cluster
    • Heavy-light N 1 clusters of two-dimensional fermions

      We study binding of N identical heavy fermions by a light atom in two dimensions as-suming zero-range attractive heavy-light interactions. By using the mean-field theory valid for large N we show that the N +1 cluster is bound when the mass ratio exceeds 1.074N2. The mean-field theory, being scale invariant in two dimensions, predicts only

  2. Aug 13, 2024We study binding of N identical heavy fermions by a light atom in two dimensions as-suming zero-range attractive heavy-light interactions. By using the mean-field theory valid for large N we show that the N +1 cluster is bound when the mass ratio exceeds 1.074N2. The mean-field theory, being scale invariant in two dimensions, predicts only
  3. In this paper we address the large-Nlimit of the two-dimensional N+1-body problem by applying the mean- eld (MF) approximation together with the local-density Thomas-Fermi (TF) assumption for the energy of an ideal Fermi gas. We show that the N+ 1 cluster emerges for M=m= 2N2=C, where C= 1:862. At this critical point the cluster
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  5. Heavy-light N +1 clusters of two-dimensional fermions J. Givois, A. Tononi, and D. S. Petrov Universit´e Paris-Saclay, CNRS, LPTMS, 91405 Orsay, France (Dated: October 18, 2023) We study binding of N identical heavy fermions by a light atom in two dimensions assuming zero-range attractive heavy-light interactions. By using the mean-field ...
  6. indico.ectstar.eu

    How many heavy fermions can be bound by a single light atom? (N+1)-body problem Kinetic energy of the heavy atoms ~1/M competes with Attractive exchange potential of the light atom ~1/m Parameters of the free-space zero-range N+1-body problem: space dimension D number of heavy atoms N mass ratio M/m dimer size a (can be used as the length unit)
  7. semanticscholar.org

    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 ...
  8. Mar 21, 20241) On page 1 in the Introduction we mention that a is positive and it determines the size of the 1+1 cluster. 2) On page 4 we add a paragraph explaining the difference between gamma_c and gamma. We also mention that the final result of the calculation (after taking into account the beyond-MF effects) should not depend on the choice of the pair ...
  9. paperswithcode.com

    Oct 17, 2023The 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.

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