Spectral convexity for attractive SU(2N) fermions

Details Spectral convexity for attractive SU(2N) fermions Spectral convexity for attractive SU(2N) fermions

2007-01-16

arxiv.org/abs/nucl-th/0701041v2

Phys.Rev.Lett.98:182501,2007

Physics

Nuclear Physics

Nuclear Theory

10 pages, 2 figures; references added

Scientific paper

10.1103/PhysRevLett.98.182501

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.

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