In-medium Pions and Partial Restoration of Chiral Symmetry: a model-independent analysis

Details In-medium Pions and Partial Restoration of Chiral Symmetry: a model-independent analysis In-medium Pions and Partial Restoration of Chiral Symmetry: a model-independent analysis

2007-06-02

arxiv.org/abs/0706.0258v1

Prog.Theor.Phys.Suppl.168:478-481,2007

Physics

Nuclear Physics

Nuclear Theory

4 pages, Talk given at the Yukawa International Seminar (YKIS) 2006, "New frontiers in QCD -- Exotic hadrons and hadronic matt

Scientific paper

10.1143/PTPS.168.478

Exploiting operator relations in QCD, we derive a novel and model-independent formula relating the in-medium quark condensate * to the decay constant F*_t and the wave function renormalization constant Z* of the pion in the nuclear medium. Evaluating Z* at low density from the iso-scalar pion-nucleon scattering data, it is concluded that the enhanced repulsion of the s-wave isovector pion-nucleusinteraction observed in the deeply bound pionic atoms implies directly the reduction of the in-medium quark condensate. The knowlege of the in-medium pion mass is not necessary to reach this conclusion.

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