Advertisement

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

  • L. B. LeinsonEmail author
  • A. Pérez
Letter

Abstract.

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.

Keywords

Relativistic Evaluation Nuclear Matter Chiral Symmetry Relativistic Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    G. Mao, L. Neise, H. Stöcker, W. Greiner, Phys. Rev. C 59, 1674 (1999).CrossRefGoogle Scholar
  2. 2.
    T. Herbert, K. Wehrberger, F. Beck, Nucl. Phys. A 541, 699 (1992).CrossRefGoogle Scholar
  3. 3.
    V.F. Dmitriev, T. Suzuki, Nucl. Phys. A 438, 697 (1985).CrossRefGoogle Scholar
  4. 4.
    L.H. Xia, C.M. Ko, L. Xiong, J.Q. Wu, Nucl. Phys. A 485, 721 (1988).CrossRefGoogle Scholar
  5. 5.
    M.F.M. Lutz, Phys. Lett. B 552, 159 (2003).CrossRefGoogle Scholar
  6. 6.
    A.B. Migdal, Zh. Eksp. Teor. Fiz. 61, 2209 (1972) (Sov. Phys. JETP 34, 1184 (1972)).Google Scholar
  7. 7.
    T. Ericson, W. Weise, Pions and Nuclei (Clarendon Press, Oxford, 1988).Google Scholar
  8. 8.
    L.B. Leinson, A. Perez, arXiv: nucl-th/0307025.Google Scholar
  9. 9.
    T. Wakasa et al. , Phys. Rev. C 55, 2909 (1997).CrossRefGoogle Scholar
  10. 10.
    T. Suzuki, H. Sakai, Phys. Lett. B 455, 25 (1999).CrossRefGoogle Scholar
  11. 11.
    A. Arima, W. Bentz, T. Suzuki, T. Suzuki, Phys. Lett. B 499, 104 (2001).CrossRefGoogle Scholar
  12. 12.
    H. Sakai, report on the International Conference COMEX1, Paris, 2003.Google Scholar
  13. 13.
    Y. Tomozawa, Nuovo Cimento A 46, 707 (1966); S. Weinberg, Phys. Rev. Lett. 17, 616 (1966).Google Scholar
  14. 14.
    D. Sigg et al. , Phys. Rev. Lett. 75, 3245 (1995); Nucl. Phys. A 609, 269 (1996).CrossRefGoogle Scholar
  15. 15.
    R. Koch, Nucl. Phys. A 448, 707 (1986).CrossRefGoogle Scholar

Copyright information

© 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

Personalised recommendations