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Properties of the Pion Meson in Nuclear Matter (From GCM to DSE)

Properties of the Pion Meson in Nuclear Matter (From GCM to DSE). Chang Lei School of Physics , Peking University. Content. Introduction Formalism Vacuum configurations Properties of Mesons Numerical Result and Discussion. Introduction. 1 The importance

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Properties of the Pion Meson in Nuclear Matter (From GCM to DSE)

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  1. Properties of the Pion Mesonin Nuclear Matter(From GCM to DSE) Chang Lei School of Physics , Peking University

  2. Content • Introduction • Formalism Vacuum configurations Properties of Mesons • Numerical Result and Discussion

  3. Introduction 1 The importance of the pion meson in chemical poten- tial. 2 From GCM to DSE.

  4. 2 Formalism 2.1 Vacuum configurations Quark equation

  5. The formwork of GCM

  6. Interpretation • Chemicalpotential • The canonical transformation of quark fields • Gluon propagator (the primary element of the kernels of the DSE and BSE) Models Gauge

  7. Some models with

  8. Landau规范 Feynman规范

  9. Solution of the gap equation dressed-quark propagator with if

  10. Nambu-Goldstone solution for for • Wigner solution

  11. 2.2 properties of mesons 2.2.1 procedure in DES . BSE . 2.2.2 two procedures in GCM One way: the free propagator of the pion meson

  12. Ward-Takahashi identity expand on mass Approximation about pion BS amplitude

  13. GCM and external fields(M.R.Frank,PRC51(1995)987) • vertex function of mass (Hongshi.Zong,nucl-th/0209038) • equation of the vertex function • solution • quark propagator

  14. The other way: The action about pion meson For the scalar meson（the parter of the pion） with

  15. 3 Numerical Result and Discussion • 3.1 parameters • 3.2 results • 3.3 discussion properties of pion scalar meson and the instanton model

  16. thanks

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