https://doi.org/10.1140/epja/i2015-15061-8
Regular Article - Theoretical Physics
States of 
with J = 3 within the fixed center approximation to the Faddeev equations
1
Department of Physics, Kocaeli University, 41380, Izmit, Turkey
2
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain
3
School of Physics and Nuclear Energy Engineering and International Research Center for Nuclei and Particles in the Cosmos, Beihang University, 100191, Beijing, China
* e-mail: melahat.bayar@kocaeli.edu.tr
Received:
20
January
2015
Revised:
26
March
2015
Accepted:
14
April
2015
Published online:
26
May
2015
We study the interaction of ρ, D
* and 
with spins aligned using the fixed center approximation to the Faddeev equations. We select a cluster of 
, which is found to be bound in I = 0 and can be associated to the X(3915), and let the ρ meson orbit around the D
* and . In this case we find an I = 1 state with mass around 4340 MeV and narrow width of about 50 MeV. We also investigate the case with a cluster of ρD
* and let the orbit around the system of the two states. The ρD
* cluster is also found to bind and leads to the D
2
*
state. The addition of the extra produces further binding and we find, with admitted uncertainties, a state of I = 0 around 4000 MeV, and a less bound narrow state with I = 1 around 4200 MeV.
© SIF, Springer-Verlag Berlin Heidelberg, 2015
