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Three body resonances in two meson-one baryon systems

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arxiv 0706.2330 v2 pith:OCWY46BK submitted 2007-06-15 nucl-th

classification nucl-th
keywords threebaryonbeenresonancesapproachbodymeson-baryonbethe-salpeter
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abstract

We report four $\Sigma$'s and three $\Lambda$'s, in the 1500 - 1800 MeV region, as two meson - one baryon S-wave $(1/2)^+$ resonances. We solve Faddeev equations in the coupled channel approach. The invariant mass of one of the meson-baryon pairs and that of the three particles have been varied and peaks in the squared three body $T$-matrix have been found very close to the existing $S$ = -1, $J^P= 1/2^+$ low lying baryon resonances. The input two-body $t$-matrices for meson-meson and meson-baryon interaction have been calculated by solving the Bethe-Salpeter equation with the potentials obtained in the chiral unitary approach.

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Cited by 1 Pith paper

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  1. Off-shell ambiguities in correlation functions: strategies to minimize them

    hep-ph 2025-06 conditional novelty 5.0 of 10

    For meson-baryon pairs tied to the N*(1535), off-shell ambiguities change correlation functions by only 2-3% in chiral models, and can be partly absorbed by adjusting the source size.

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