Abstract
We study the X (4260) and X (4360) solving Faddeev Equation under the Fixed Center Approximation. We find a state of I = 1 with mass around 4320 MeV and a width bout 25 MeV for the case of ρ meson scattering from X (3700) (DD ) and 4256 MeV and a width about 30 MeV of D scattering from D 1 (2420)(ρD ). The results obtained in present work are in good agreement with experimental results.
Highlights
The question of “What the hadron is made of?” is a permanent question more than 50 years. This question was answered by Murray Gell-Man and George Zweig introducing the quark model for the first time
The three body NK K scattering amplitude was calculated by using the Fixed Center Approximation (FCA) to Faddeev Equations, taking the K (N) as a scattering particle and KN(K K) as a cluster [15]
The ρD∗D ∗ three body systems has been studied within the FCA to Faddeev Equations [16] and they made predictions on three body states for spin J = 3 case
Summary
The question of “What the hadron is made of?” is a permanent question more than 50 years. In order to investigate the three body systems one needs to solve the Faddeev Equations. The cluster is not modified by the third particle and one can safely use the FCA to Faddeev Equations to calculate the three or many body systems. The three body NK K scattering amplitude was calculated by using the FCA to Faddeev Equations, taking the K (N) as a scattering particle and KN(K K) as a cluster [15].
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