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Pion-Nucleon Scattering and the $pi$NN Coupling Constant in the Chiral Color Dielectric Mod

We apply the chiral color dielectric model to low- and medium-energy scattering within the coupled $\pi$N and $\pi\Delta$ system. Dynamic baryon states in which quarks are confined by the scalar color-dielectric field are constructed in Fock space. Spuriou

Pion-NucleonScatteringandtheπNNCouplingConstantinthe4

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aChiralColorDielectricModelDinghuiLu,ShashikantC.Phatak*andRubinH.LandauDepartmentofPhysics,OregonStateUniversity,CorvallisOR97331,USA(February9,2008)AbstractWeapplythechiralcolordielectricmodeltolow-andmedium-energyscatter-ingwithinthecoupledπNandπ system.Dynamicbaryonstatesinwhichquarksarecon nedbythescalarcolor-dielectric eldareconstructedinFockspace.Spuriousmotionofthecenterofmassiseliminatedbyconstruct-ingmomentumeigenstatesviaaPeierls-Yoccozprojection.TherelativisticLippmann-SchwingerequationissolvedforthecomplexenergiesoftheTma-trixpoles,andthepolepositionsofthenucleonanddeltaareusedto xthefewparametersofthemodel.TheS-andP-wavephaseshifts,thebareNand masses,therenormalizedπNNandπN couplingconstants,andtheπNNandπN vertexfunctionsarepredicted.

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