KHALED TEILAB IN COLLABORATION WITH SUSANNA GALLAS, FRANCESCO GIACOSA AND DIRK H. RISCHKE Meson production in proton-proton scattering within an eLSM
Outline The eLSM in the baryonic sector Results pion-nucleon scattering length production near threshold Summary Outlook
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)
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)
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)
pion-nucleon scattering length Mirror assignment and vector mesons are important to obtain this agreement large theoretical uncertainty due to the scalar- isoscalar sector
Baryonic Lagrangian with physical fields NO RESONANCE
pp → pp near threshold no resonance References for data points in: F. Balestra et al. Phys. Rev. C, Vol. 63,
pp → pp near threshold no resonance N(1535) N(1650)
pp → pp near threshold m =778 MeV m =782 MeV m =786 MeV NO RESONANCE m =791 MeV m =774 MeV
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 …
THE HIGH ENERGY BEHAVIOR PRODUCTION OF OTHER MESONS Outlook
pp → pp away from threshold no resonance N(1535) N(1650)
pp → pp away from threshold no resonance
pp → pp References for data points in: F. Balestra et al. Phys. Rev. C, Vol. 69, no resonance
pp → pp pp → pp mesons no resonance
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Lagrangian in the baryon sector Interaction of baryons with (pseudo)scalar and (axial-)vector mesons
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:
Black disk unitarization
pp → pp near threshold N(1535) N(1650) same parameters for both curves Dependence on the resonance mass
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
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 +
the process pp → ppX p p p p X 9x + p p p p X N*
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) , arXiv: