Particle representation for $NN{\bar K}$ system

Abstract

In the framework of the Faddeev equations in configuration space we perform an analysis of quasi-bound state of the NN{\bar K}NNK‾ system within a particle model. In our approach, the system NN{\bar K}(s_{NN}=0)NNK‾(sNN=0) (NN{\bar K}(s_{NN}=1))NNK‾(sNN=1)) is described as a superposition of ppK^{-}ppK− and pn{\bar K}^0pnK‾0 (nn{\bar K}^{0}nnK‾0 and pn{ K}^-pnK−) states, which is possible due to a particle transition. The relation of the particle model to the theory of a two-state quantum system is addressed and discussed taking into account the possibilities of deep and shallow NN{\bar K}(s_{NN}=0)NNK‾(sNN=0) quasi-bound states.

Particle configurations in the $NN\bar K$ system

“…We would like to note that a "particle model" which ignores isospins in the charged "ppK − " kaonic system and defines pair pK − , n K0 , p K0 potentials was considered in Ref. [35]. This model motivated by Ref.…”

The charge and mass symmetry breaking in the KK K¯ system

“…However, the method of hyperspherical harmonics, the variational method in the harmonic-oscillator basis, and the variational method complemented with the use of explicitly correlated Gaussian basis functions has been successfully employed for the solution of a fewbody problem in atomic, nuclear, high energy physics, and even in condensed matter physics [7]. Some recent studies for the application of the Faddeev technique in momentum space and configuration spaces across various physics sectors including atomic physics [8], condensed matter physics [9][10][11], and nuclear physics [12][13][14][15][16][17]. It should be mentioned that the recent literature on the subject is not limited by the cited works.…”