Faddeev calculations of the KNN ¯ system with chirally-motivated KN¯ interaction. II. The K−pp quasi-bound state

Révai, János and Shevchenko, NV (2014) Faddeev calculations of the KNN ¯ system with chirally-motivated KN¯ interaction. II. The K−pp quasi-bound state. PHYSICAL REVIEW C, 90 (3). ISSN 2469-9985

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Abstract

New calculations of the quasi-bound state in the K−pp system using Faddeev-type equations in AGS form with coupled KNN ¯ and πΣN channels were performed. A chiral KN¯ potential together with phenomenological models of KN¯ interaction with one- and two-pole structure of the Λ(1405) resonance were used. All three potentials reproduce experimental data on low-energy K−p scattering and kaonic hydrogen with the same level of accuracy. New method of calculating the subthreshold resonance position and width in a three-body system was proposed and used together with the direct search of the resonance pole. We obtained binding energy of the K−pp quasi-bound state ∼ 32 MeV with the chirally motivated and 47 − 54 MeV with the phenomenological KN¯ potentials. The width is about 50 MeV for the two-pole models of the interaction, while the onepole potential gives ∼ 65 MeV width. The question of using an energy dependent potential in fewbody calculations is discussed in detail. It is shown that “self-consistent” variational calculations using such a potential are unable to produce a reasonable approximation to the exact result.

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