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Nuclear Theory

arXiv:nucl-th/0701041 (nucl-th)
[Submitted on 16 Jan 2007 (v1), last revised 28 Jan 2007 (this version, v2)]

Title:Spectral convexity for attractive SU(2N) fermions

Authors:Dean Lee (North Carolina State University)
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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.
Comments: 10 pages, 2 figures; references added
Subjects: Nuclear Theory (nucl-th); Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph)
Cite as: arXiv:nucl-th/0701041
  (or arXiv:nucl-th/0701041v2 for this version)
  https://doi.org/10.48550/arXiv.nucl-th/0701041
Journal reference: Phys.Rev.Lett.98:182501,2007
Related DOI: https://doi.org/10.1103/PhysRevLett.98.182501

Submission history

From: Dean Lee J [view email]
[v1] Tue, 16 Jan 2007 18:48:58 UTC (17 KB)
[v2] Sun, 28 Jan 2007 20:48:10 UTC (18 KB)
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