Inequalities for Light Nuclei in the Wigner Symmetry Limit

Details Inequalities for Light Nuclei in the Wigner Symmetry Limit Inequalities for Light Nuclei in the Wigner Symmetry Limit

2004-08-18

arxiv.org/abs/nucl-th/0408043v1

Phys.Rev.Lett. 93 (2004) 242302

Physics

Nuclear Physics

Nuclear Theory

10 pages

Scientific paper

10.1103/PhysRevLett.93.242302

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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