Description of the f(2)(1270), rho(3)(1690), f(4)(2050), rho(5)(2350), f(6)(2510) resonances as multi-rho(770) states

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.