Study ofηKK¯andη′KK¯with the fixed center approximation to Faddeev equations

Abstract

A study of ηKK and η ′ KK with the fixed center approximation to Faddeev equations. AbstractIn the present work we investigate the three-body systems of ηKK and η ′ KK, by taking the fixed center approximation to Faddeev equations. We find a clear and stable resonance structure around 1490 MeV in the squared ηKK scattering amplitude, which is not sensitive to the renormalization parameters. Conversely, we get only an enhancement effect of the threshold in the η ′ KK amplitude that indicates the difficulty to bind the η ′ KK system as a consequence of a weaker η ′ K interaction than the ηK one. We associate the ηKK state found to the η(1475).

Explanation of the X(4260) and X(4360) as Molecular States

“…In [17] the authors found a I(J PC ) = 1(3 −− ) state with a mass at around 10987 ± 40 MeV and width 40 ± 15 MeV. Besides, ρKK and ηKK three body systems was investigated within FCA to Faddeev Equation [19,20]. In these works ρ(1700) and η(1475) mesons have been explained as ρKK and ηKK molecular states respectively.…”

Two-, Three-, Many-body Systems Involving Mesons. Multimeson Condensates

“…In this latter work, instead, some theoretical support was found for the π(1300) and the recently claimed f 0 (1790) as molecular resonances made also of three hadrons. Coming back to the work of [52], the η ′ KK was also studied, but in this case only a cusp effect at threshold was found.…”

“…In [52] the ηKK and η ′ KK systems are studied. The ηKK is found to create some structure around 1490 MeV that could be identified with the η(1475).…”

Description of ρ(1700) as a $$\rho K\bar K$$ system with the fixed-center approximation

“…Basically we follow the formalism given by refs. [25][26][27]31]. In this paper, due to the symmetry of the ρK and ρK interactions, the formalism is further simplified with respect to ref.…”

“…In this paper, due to the symmetry of the ρK and ρK interactions, the formalism is further simplified with respect to ref. [31].…”