dorsal/arxiv
View SchemaSpectral convexity for attractive SU(2N) fermions
| Authors | Dean Lee |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0701041 |
| URL | https://arxiv.org/abs/nucl-th/0701041 |
| DOI | 10.1103/PhysRevLett.98.182501 |
| Journal | Phys.Rev.Lett.98:182501,2007 |
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.
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"abstract": "We prove a general theorem on spectral convexity with respect to particle\nnumber for 2N degenerate components of fermions. The number of spatial\ndimensions is arbitrary, and the system may be uniform or constrained by an\nexternal potential. We assume only that the interactions are governed by an\nSU(2N)-invariant two-body potential whose Fourier transform is negative\ndefinite. The convexity result implies that the ground state is in a\n2N-particle clustering phase. We discuss implications for light nuclei as well\nas asymmetric nuclear matter in neutron stars.",
"arxiv_id": "nucl-th/0701041",
"authors": [
"Dean Lee"
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"doi": "10.1103/PhysRevLett.98.182501",
"journal_ref": "Phys.Rev.Lett.98:182501,2007",
"title": "Spectral convexity for attractive SU(2N) fermions",
"url": "https://arxiv.org/abs/nucl-th/0701041"
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