https://doi.org/10.1140/epjc/s10052-015-3315-y
Regular Article - Theoretical Physics
Mass of Y(3940) in Bethe–Salpeter equation for quarks
1
Department of Foundational courses, Shandong University of Science and Technology, Taian, 271019, China
2
Department of Physics, Sichuan University, Chengdu, 610064, China
3
Institute of Theoretical Physics, The Chinese Academy of Sciences, Beijing, 100080, China
4
CCAST (World Laboratory), P.O. Box 8730, Beijing, 100080, China
* e-mail: chen.xzhao.hn@gmail.com
Received:
2
December
2014
Accepted:
10
February
2015
Published online:
28
February
2015
The general form of the Bethe–Salpeter wave functions for the bound states composed of two vector fields of arbitrary spin and definite parity is corrected. Using the revised general formalism, we investigate the observed Y(3940) state, which is considered as a molecule state consisting of 
. Though the attractive potential between 
and 
including one light meson (
, 
, 
, 
) exchange is considered, we find that in our approach the contribution from one- exchange is equal to zero and consider SU(3) symmetry breaking. The obtained mass of Y(3940) is consistent with the experimental value.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
