K̅ppandK̅K̅pClusters

Roman Ya Kezerashvili,Shalva M Tsiklauri,Branislav Vlahovic,Vladimir M Suslov,Igor N Filikhin

doi:10.1051/epjconf/201611307005

Abstract

The three-body kaonic K pp and K K p clusters are studied using the method of hyperspherical harmonics (HH) in momentum representation and differential Faddeev equations (DFE). We use different NN and K N interactions. Results obtained by the methods of HH and DFE are in reasonable agreement. The binding energy and the width show very strong dependence on the K N potential. We have two different classes of results: the results based on phenomenological strong K N potential, and the results obtained with much weaker chiral SU(3)-based K N potential.

Highlights

The light kaonic K pp and KK p clusters represent three-body systems and have been treated in the framework of various theoretical approaches such as variational methods [1,2,3,4,5], the method of Faddeev equations [6,7,8,9], and the method of hyperspherical harmon_ics (HH) [10], [11]
For the KK p system the decomposition has the form Ψ = U + W + PW, where P is the perm_u_tation ope_rato_r for two identical bosons and the Faddeev components U and W correspond to the (KK)p and (K p)K types of rearrangements. For the both kaonic systems the set of the Faddeev equations can be reduced to the system of two equations for the compon_ents U an_d_W [17], which allows one to find the total wave functions and binding energies for the K pp and KK p systems
We study a possible bound state of the KK p cluster with S

Summary

Introduction

The light kaonic K pp and KK p clusters represent three-body systems and have been treated in the framework of various theoretical approaches such as variational methods [1,2,3,4,5], the method of Faddeev equations [6,7,8,9], and the method of hyperspherical harmon_ics (HH) [10], [11]. Calculations for a binding energy and width of the kaonic K pp system are performed using three different potentials for the NN interaction, as well as two different p_o_tentials for the description of the kaon-nucleon interaction. The latter we use for study of the KK p system. Such approach allows one to understand the dependence of the bound state and the width of the kaonic three-body system on the method of calculations, the importance of nucleon-nucleon interaction, and the key role of the kaon-nucleon interaction

Theoretical framework

Results and discussion

Conclusion