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Phys Rev Lett. 2004 Dec 10;93(24):242302. doi: 10.1103/PhysRevLett.93.242302. Epub 2004 Dec 07.

Inequalities for light nuclei in the Wigner symmetry limit.

Physical review letters

Jiunn-Wei Chen, Dean Lee, Thomas Schaefer

Affiliations

  1. Department of Physics and National Center for Theoretical Sciences at Taipei, National Taiwan University, Taipei 10617, Taiwan.

PMID: 15697797 DOI: 10.1103/PhysRevLett.93.242302

Abstract

Using effective field theory we derive inequalities for light nuclei in the Wigner symmetry limit. This is the limit where isospin and spin degrees of freedom can be interchanged. We prove that the energy of any three-nucleon state is bounded below by the average energy of the lowest two-nucleon and four-nucleon states. We show how this is modified by lowest-order terms breaking Wigner symmetry and prove general energy convexity results for SU(N). We also discuss the inclusion of Wigner-symmetric three- and four-nucleon force terms.

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