A description of the f2(1270), rho3(1690), f4(2050), rho5(2350) and f6(2510) resonances as multi-rho(770) states

الأصل · EN

In a previous work regarding the interaction of two ρ(770) resonances, the f₂(1270) (JPC=2⁺⁺) resonance was obtained dynamically as a two-ρ molecule with a very strong binding energy, 135 MeV per ρ particle. In the present work we use the ρρ interaction in spin 2 and isospin 0 channel to show that the resonances ρ₃(1690) (3⁻⁻), f₄(2050) (4⁺⁺), ρ₅(2350) (5⁻⁻) and f₆(2510) (6⁺⁺) are basically molecules of increasing number of ρ(770) particles. We use the fixed center approximation of the Faddeev equations to write the multi-body interaction in terms of the two-body scattering amplitudes. We find the masses of the states very close to the experimental values and we get an increasing value of the binding energy per ρ as the number of ρ mesons is increased.