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arXiv:1103.4757·v3·Nuclear Theory

Coupled channel Faddeev calculations of a (Kbar-N-pi) quasibound state

Avraham Gal🇮🇱 · Humberto Garcilazo🇲🇽

Abstract

The (Kbar-N-pi) system is studied using separable interactions fitted to data available on the s-wave (Kbar-N)--(pi-Y) subsystem and the p-wave (pi-N),(pi-Y),(pi-pi) and (pi-Kbar) subsystems. Three-body (Kbar-N-pi)--(pi-Y-pi) coupled channel Faddeev equations with relativistic kinematics are solved in search for quasibound poles in the complex plane, leading to a I(JP)=1(3/2-) (Kbar-N-pi) quasibound state at M ~ (1570 +/- 10) MeV and width greater than 60 MeV near the (Kbar-N-pi) threshold. A D13 Sigma(1570) resonance of molecular structure is thus predicted.

Comments: 18 pages, 4 figures, 4 tables; v3--a typo corrected in Eq.(7) where the subscripts Lambda and Sigma in v2 and in the published journal version are interchanged, with none of the results and conclusions affected

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