1. KHALED TEILAB IN COLLABORATION WITH SUSANNA GALLAS, FRANCESCO GIACOSA AND DIRK H. RISCHKE Meson production in proton-proton scattering within an eLSM

2. Outline The eLSM in the baryonic sector Results  pion-nucleon scattering length   production near threshold Summary Outlook

3. The eLSM in the baryonic sector for N f =2 The nucleon and its chiral partner (pseudo-) scalar & (axial-) vector mesons Chiral symmetry and dilatation invariance mirror assignment chirally symmetric mass term C. De Tar and T. Kunihiro, PRD 39 (1989) 2805)

4. Interaction of baryons with (pseudo-) scalar and (axial-) vector mesons The eLSM in the baryonic sector for N f =2 Details in S. Gallas et al. Phys.Rev. D82 (2010) 014004

5. The mass of the nucleon parameterizes the contribution which does not stem from the quark condensate Details in S. Gallas, Francesco Giacosa and Dirk H. Rischke, Phys.Rev. D82 (2010) 014004

6. pion-nucleon scattering length Mirror assignment and vector mesons are important to obtain this agreement large theoretical uncertainty due to the scalar- isoscalar sector

7. Baryonic Lagrangian with physical fields NO RESONANCE

8. pp → pp  near threshold no resonance References for data points in: F. Balestra et al. Phys. Rev. C, Vol. 63, 024004

9. pp → pp  near threshold no resonance N(1535) N(1650)

10. pp → pp  near threshold m  =778 MeV m  =782 MeV m  =786 MeV NO RESONANCE m  =791 MeV m  =774 MeV

11. Summary ● A chirally symmetric Lagrangian was developed with baryons and vector mesons ● Only 5 more parameters in the baryonic sector ● pion-nucleon scattering length in agreement with experiment ● Good description of  production near threshold ● Outlook …

12. THE HIGH ENERGY BEHAVIOR PRODUCTION OF OTHER MESONS Outlook

13. pp → pp  away from threshold no resonance N(1535) N(1650)

14. pp → pp  away from threshold no resonance

15. pp → pp  References for data points in: F. Balestra et al. Phys. Rev. C, Vol. 69, 064003 no resonance

16. pp → pp  pp → pp   mesons no resonance

17. Thank you!

18. Backup

19. Lagrangian in the baryon sector Interaction of baryons with (pseudo)scalar and (axial-)vector mesons

20. The eLSM with N f =2 ● spontaneous breaking of chiral symmertry ● ● non-physical mixing terms appear ● Solution: – shift of the axial vectors as: – renormalize the pseudoscalars as:

21. Black disk unitarization

22. pp → pp  near threshold N(1535) N(1650) same parameters for both curves Dependence on the resonance mass

23. pp → pp  near threshold Large sensitivity to the parameters c 1 and c 2 c 1 =-3.0 c 1 =-4.0 c 1 =-5.0 c 2 =11 c 2 =13 c 2 =15 c 2 fixed at 13c 1 fixed at -3.0 Dependence on the parameters c 1 and c 2

24. the process pp → ppX p p p p X 9x + p p p p X p p p p X N* + p p p p X +

25. the process pp → ppX p p p p X 9x + p p p p X N*

26. Mass of the nucleon Crucial also at nonzero temperature and density also in the so-called quarkyonic phase: L. McLerran, R. Pisarski Nucl.Phys.A796:83-100,2007 parameterizes the contribution which does not stem from the quark condensate Details in S. Gallas, F. G., D. H. Rischke, Phys.Rev. D82 (2010) 014004, arXiv:0907.5084