Investigations of the D-multi-ρ interactions

• Published in: The European physical journal. A, Hadrons and nuclei Hadrons and nuclei, 2017, Vol.53 (9), p.1-15
• Main Author: Xiao, C. W.
• Format: Article
• Language: English
• Subjects: Approximation; Faddeev equations; Hadrons; Heavy Ions; Mathematical analysis; Nuclear Fusion; Nuclear Physics; Particle and Nuclear Physics; Physics; Physics and Astronomy; Regular Article - Theoretical Physics
• ISSN: 1434-6001; 1434-601X
• DOI: 10.1140/epja/i2017-12366-6

. 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 f 2 ( 1270 ) and D 1 ( 2420 ) dynamically in the two-body ρ ρ and ρ 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 ρ - 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 ) = 1 2 ( 3 + ) in the four-body interactions, a narrow D 4 ( 3730 ) state with I ( J P ) = 1 2 ( 4 - ) , a wide D 4 ( 3410 ) state of I ( J P ) = 1 2 ( 4 - ) , and another wide D 4 ( 3770 ) state but with I ( J P ) = 3 2 ( 4 - ) in the five-body interactions, and a D 5 ( 3570 ) state with I ( J P ) = 1 2 ( 5 + ) in the six-body interactions.