Isospin-dependent pion in-medium effects on charged pion ratio in heavy ion collisions

Details Isospin-dependent pion in-medium effects on charged pion ratio in heavy ion collisions Isospin-dependent pion in-medium effects on charged pion ratio in heavy ion collisions

2009-06-08

arxiv.org/abs/0906.1602v2

Phys.Rev.C81:024901,2010

Physics

Nuclear Physics

Nuclear Theory

7 pages, 4 figures, pion-nucleon s-wave interaction included

Scientific paper

10.1103/PhysRevC.81.024901

Using results from the chiral perturbation theory for the s-wave interaction and the delta-resonance model for the p-wave interaction of pions with nucleons, we have evaluated the spectral functions of pions in asymmetric nuclear matter with unequal proton and neutron densities. We find that in hot dense neutron-rich matter the strength of the spectral function of positively charged pion at low energies is somewhat larger than that of negatively charged pion. In a thermal model, this isospin-dependent effect slightly reduces the ratio of negatively charged to positively charged pions that are produced in heavy ion collisions induced by radioactive beams. Relevance of our results to the determination of the nuclear symmetry energy from measured ratio of negatively to positively charged pions produced in heavy ion collisions is discussed.

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