Spectral convexity for attractive SU(2N) fermions

Abstract

We prove a general theorem on spectral convexity with respect to particle number for 2N degenerate components of fermions. The number of spatial dimensions is arbitrary, and the system may be uniform or constrained by an external potential. We assume only that the interactions are governed by an SU(2N)-invariant two-body potential whose Fourier transform is negative definite. The convexity result implies that the ground state is in a 2N-particle clustering phase. We discuss implications for light nuclei as well as asymmetric nuclear matter in neutron stars.

10 pages, 2 figures; references added

References in corpus (6)

• Competing orders in one dimensional spin 3/2 fermionic systems
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Universal Properties of Two-Dimensional Boson Droplets
• Pairing in a three component Fermi gas
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