English

Inequalities for Light Nuclei in the Wigner Symmetry Limit

Nuclear Theory 2009-11-10 v1 High Energy Physics - Lattice High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.nucl-th/0408043,
  title  = {Inequalities for Light Nuclei in the Wigner Symmetry Limit},
  author = {Jiunn-Wei Chen and Dean Lee and Thomas Schaefer},
  journal= {arXiv preprint arXiv:nucl-th/0408043},
  year   = {2009}
}

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10 pages