On relativistic approaches to the pion self-energy in nuclear matter

  • L. B. LeinsonEmail author
  • A. Pérez


We argue that, in contrast to the non-relativistic approach, a relativistic evaluation of the nucleon-hole and delta-isobar-nucleon-hole contributions to the pion self-energy incorporates the s-wave scattering, whose magnitude within the RPA is in conflict with the near-threshold behavior imposed by chiral symmetry. As a result, a relativistic approach to the pion self-energy in isospin-symmetric nuclear matter, containing only these diagrams, does not satisfy the known experimental results on the near-threshold behavior of the \(\pi\)-nucleon (forward) scattering amplitude.


Relativistic Evaluation Nuclear Matter Chiral Symmetry Relativistic Approach 
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© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  1. 1.Departamento de Física TeóricaUniversidad de Valencia 46100 Burjassot (Valencia)Spain
  2. 2.Institute of Terrestrial Magnetism Ionosphere and Radio Wave Propagation RASTroitsk, Moscow RegionRussia
  3. 3.Departamento de Física Teórica and IFICUniversidad de Valencia 46100 Burjassot (Valencia)Spain

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