Constituent quark-based linear σ model (LσM) quark and scalar mesons, vector meson dominance

2005/07/14 by Michael D. Scadron, Scadron, Michael D., Miroslav Nagy +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0507168

8 pages, 2 figures

arxiv created 2005/07/14 · arxiv updated 2009/12/01

Abstract

After describing the SU(2) linear sigma model (LσM), we dynamically generate it using the B.W. Lee null tadpole sum (characterizing the true vacuum) together with the dimensional regularization lemma. Next we generate the chiral-limiting (CL) nonstrange and strange constituent quark masses m=325.7 MeV; m_s=486 MeV away from the CL. Finally, we study vector meson dominance (VMD) and the pion, kaon charge radii and the loop-order ρ→πγ, π⁰→γγ amplitudes in the quark model. Lastly, we verify this procedure using tree-order VMD graphs.

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