Abstract.
In the present work, which aims at searching for bound states, the interactions of the D -multi- \( \rho\) systems are investigated by means of the formalism of the fixed-center approximation to Faddeev equations. Reproducing the states of \( f_2 (1270)\) and \( D_1 (2420)\) dynamically in the two-body \( \rho\rho\) and \( \rho D\) interactions, respectively, as the clusters of the fixed-center approximation, the state of \( D(3000)^0\) is found as a molecule of \( D-f_2\) or \( \rho-D_1\) structures in the three-body interactions, where we determine its quantum number \( J^P = 2^-\) and find another possible state of \( D_2 (3100)\) with isospin I = 3/2 . In our results, there are some other predictions with uncertainties, a \( D_3 (3160)\) state with \( I(J^P) = \frac{1}{2} (3^+)\) in the four-body interactions, a narrow \( D_4 (3730)\) state with \( I(J^P) = \frac{1}{2} (4^-)\) , a wide \( D_4 (3410)\) state of \( I(J^P) = \frac{1}{2} (4^-)\) , and another wide \( D_4 (3770)\) state but with \( I(J^P) = \frac{3}{2} (4^-)\) in the five-body interactions, and a \( D_5 (3570)\) state with \( I(J^P) = \frac{1}{2} (5^+)\) in the six-body interactions.
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Xiao, C.W. Investigations of the D-multi-\( \rho\) interactions. Eur. Phys. J. A 53, 176 (2017). https://doi.org/10.1140/epja/i2017-12366-6
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DOI: https://doi.org/10.1140/epja/i2017-12366-6