We report four $\Sigma$'s and three $\Lambda$'s, in the 1500 - 1800 MeVregion, as two meson - one baryon S-wave $(1/2)^+$ resonances. We solve Faddeevequations in the coupled channel approach. The invariant mass of one of themeson-baryon pairs and that of the three particles have been varied and peaksin 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 calculatedby solving the Bethe-Salpeter equation with the potentials obtained in thechiral unitary approach.
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机译:我们报告了1500-1800 MeV区域中的四个$ \ Sigma $和三个$ \ Lambda $,作为两个介子-一个重子S波$(1/2)^ + $共振。我们采用耦合渠道方法解决Faddeevequations。 Themeson-baryon对之一和三个粒子的不变质量已发生变化,并且在平方的三体$ T $-矩阵中发现峰值非常接近现有的$ S $ = -1,$ J ^ P = 1/2 ^ + $低躺的重子共振。介子介子相互作用和介子-重子相互作用的输入两体$ t $矩阵是通过用手性单一方法获得的势求解Bethe-Salpeter方程来计算的。
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