Inequalities for Light Nuclei in the Wigner Symmetry Limit

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.

10 pages

References in corpus (6)

• Observation of resonance condensation of fermionic atom pairs
• Evidence for Superfluidity in a Resonantly Interacting Fermi Gas
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Nuclear Lattice Simulations with Chiral Effective Field Theory
• A lattice theory for low energy fermions at finite chemical potential
• QCD inequalities for the nucleon mass and the free energy of baryonic matter

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