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Meson production in proton-proton scattering within an eLSM

Meson production in proton-proton scattering within an eLSM. Khaled Teilab in collaboration with Susanna Gallas , Francesco Giacosa and Dirk H. Rischke. Outline. The eLSM in the baryonic sector Results pion-nucleon scattering length w production near threshold Summary Outlook.

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Meson production in proton-proton scattering within an eLSM

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  1. Meson production in proton-proton scattering within an eLSM Khaled Teilab in collaboration with Susanna Gallas, Francesco Giacosa and Dirk H. Rischke

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

  3. The eLSM in the baryonic sector for Nf =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. The eLSM in the baryonic sector for Nf =2 Interaction of baryons with (pseudo-) scalar and (axial-) vector mesons 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 large theoretical uncertainty due to the scalar-isoscalar sector Mirror assignment and vector mesons are important to obtain this agreement

  7. Baryonic Lagrangian with physical fields NO RESONANCE

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

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

  10. pp→ppw near threshold mw=774 MeV mw=778 MeV mw=782 MeV mw=786 MeV mw=791 MeV NO RESONANCE

  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 w production near threshold • Outlook …

  12. pp→ppw away from threshold no resonance N(1535) N(1650)

  13. pp→ppw away from threshold no resonance

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

  15. r & p mesons pp→ppr pp→ppp no resonance no resonance

  16. Thank you!

  17. Backup

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

  19. The eLSM with Nf =2 spontaneous breaking of chiral symmertry non-physical mixing terms appear Solution: shift of the axial vectors as: renormalize the pseudoscalars as:

  20. Black disk unitarization

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

  22. pp→ppw near threshold Dependence on the parameters c1 and c2 c1=-3.0 c2=11 c1=-4.0 c2=13 c1=-5.0 c2=15 c2 fixed at 13 c1 fixed at -3.0 Large sensitivity to the parameters c1 and c2

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

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