https://doi.org/10.1140/epjc/s10052-017-5137-6
Regular Article - Theoretical Physics
Possible
and
molecular states in the extended constituent quark models
1
Department of Physics, Nanjing University, Nanjing, 210093, China
2
School of Physics and Electronic Science, Zunyi Normal University, Zunyi, 563006, China
3
State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190, China
4
Department of Physics, Nanjing Normal University, Nanjing, 210023, China
* e-mail: jlping@njnu.edu.cn
Received:
5
April
2017
Accepted:
9
August
2017
Published online:
30
August
2017
The possible neutral and
molecular states are studied in the framework of the constituent quark models, which is extended by including the s-channel one-gluon exchange. Using different types of quark–quark potentials, we solve the four-body Schrödinger equation by means of the Gaussian expansion method. The bound states of
with
and
with
are obtained. The molecular states
with
and
with
are good candidates for X(3872) and
, respectively. The dependence of the results on the model parameters is also discussed.
© The Author(s), 2017