Investigations of the D-multi-\( \rho\) interactions

Regular Article - Theoretical Physics

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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Copyright information

© SIF, Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Institut für Kernphysik (Theorie), Institute for Advanced Simulation, and Jülich Center for Hadron Physics, Forschungszentrum JülichJülichGermany
  2. 2.School of Physics and ElectronicsCentral South UniversityChangshaChina

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