Investigations of the D-multi-ρ interactions

In the present work, which aims at searching for bound states, the interactions of the D-multi-ρ systems are investigated by means of the formalism of the fixed-center approximation to Faddeev equations. Reproducing the states of f₂(1270) and D₁(2420) dynamically in the two-body ρρ and ρD interactions, respectively, as the clusters of the fixed-center approximation, the state of D(3000)⁰ is found as a molecule of D - f₂ or ρ - D₁ structures in the three-body interactions, where we determine its quantum number J^P = 2^- and find another possible state of D₂(3100) with isospin I = 3/2. In our results, there are some other predictions with uncertainties, a D₃(3160) state with I(J^P) = (1)/(2)(3⁺) in the four-body interactions, a narrow D₄(3730) state with I(J^P) = (1)/(2)(4^-), a wide D₄(3410) state of I(J^P) = (1)/(2)(4^-), and another wide D₄(3770) state but with I(J^P) = (3)/(2)(4^-) in the five-body interactions, and a D₅(3570) state with I(J^P) = (1)/(2)(5⁺) in the six-body interactions. (orig.)