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arXiv · 1508.07638

Benchmark for a quasi-bound state of the $\overset{\_}{K}pp$ system

Roman Ya. Kezerashvili·Shalva M. Tsiklauri·Igor N. Filikhin·Vladimir M. Suslov·Branislav Vlahovic
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Abstract

We present three-body nonrelativistic calculations within the framework of a potential model for the kaonic cluster ${K^-}pp$ using two completely different methods: the method of hyperspherical harmonics in the momentum representation and the method of Faddeev equations in configuration space. To perform a numerical benchmark, different $NN$ and antikaon-nucleon interactions are applied. The results of the calculations for the ground state energy for the ${K^-}pp$ system obtained by both methods are in reasonable agreement. Although the ground state energy is not sensitive to the $NN$ interaction, it shows very strong dependence on the $\overset{\_}{K}N$ potential. We show that the dominant clustering of the ${K^-}pp$ system in the configuration $Λ(1405)+p$ allows us to calculate the binding energy to good accuracy within a simple cluster approach for the differential Faddeev equations. The theoretical discrepancies in the binding energy and width for the ${K^-}pp$ system related to the different $NN$ and $\overset{\_}{K}N$ interactions are addressed.

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Roman Ya. Kezerashvili, Shalva M. Tsiklauri, Igor N. Filikhin, Vladimir M. Suslov, Branislav Vlahovic. 2016-02-18. Benchmark for a quasi-bound state of the $\overset{\_}{K}pp$ system. https://arxiv.org/abs/1508.07638

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