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Meson-Baryon Interactions in Unitarized Chiral Perturbation Theory

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arxiv nucl-th/0211098 v1 pith:5I3HFTNY submitted 2002-11-29 nucl-th

Meson-Baryon Interactions in Unitarized Chiral Perturbation Theory

classification nucl-th
keywords chiralamplitudemeson-baryonchannelcoupledformalisminteractionslambda
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Meson-Baryon Interactions can be successfully described using both Chiral Symmetry and Unitarity. The $s-$wave meson-baryon scattering amplitude is analyzed in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry in the potential. Two body coupled channel unitarity is exactly preserved. The needed two particle irreducible matrix amplitude is taken from lowest order Chiral Perturbation Theory in a relativistic formalism. Off-shell behavior is parameterized in terms of low energy constants. The relation to the heavy baryon limit is discussed. The position of the complex poles in the second Riemann sheet of the scattering amplitude determine masses and widths baryonic resonances of the N(1535), N(1670), $\Lambda (1405)$ and $\Lambda(1670)$ resonances which compare well with accepted numbers.

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