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

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

2003-11-30

arxiv.org/abs/nucl-th/0312001v1

Eur.Phys.J. A20 (2004) 371-374

Physics

Nuclear Physics

Nuclear Theory

7 pages,1 figure

Scientific paper

10.1140/epja/i2003-10225-9

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, which requires a more accurate evaluation. Therefore relativistic approach containing only these diagrams does not describe appropriately the pion self-energy in isospin symmetric nuclear matter. We conclude that, a correct relativistic approach to the pion self-energy should involve a more sophisticated calculation in order to satisfy the known experimental results on the near-threshold behaviour of the pion-nucleon (forward) scattering amplitude.

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