https://doi.org/10.1140/epja/i2009-10846-x
Regular Article - Theoretical Physics
Meson spectra and mass splitting of 
- J/
calculated with a regularized quark potential
1
Department of Physics, Harbin Institute of Technology, 150006, Harbin, Heilongjiang, PRC
2
School of Physics and Optoelectronic Technology, Dalian University of Technology, 116024, Dalian, Liaoning, PRC
* e-mail: jrmt2003@yahoo.com.cn
Received:
29
April
2009
Revised:
29
June
2009
Accepted:
30
June
2009
Published online:
1
August
2009
The complete Breit potential contains the terms of spin-spin, spin-orbit, orbit-orbit, and tensor force interactions which become singular at short distance. Most of previous calculations of the non-relativistic potential quark model considered only the spin-spin interaction and substituted the 
(r) -function by the Gaussian or Yukawa potential in coordinate space. Recently, a method to regularize the Breit potential consists of subtracting terms that cancel the singularity at the origin but leave the intermediate- and long-distance behavior unchanged. Motivated by this work we regularize the Breit potential by multiplying the singular terms in momentum space identically by the form factor [
/(q
2 + )]2 of the momentum transfer q , where the screened mass μ increases with the reduced mass of the meson. With the regularized Breit potential we calculate the masses of 30 common mesons and the new 
meson. We find that the calculated masses from light to heavy mesons agree well with experimental data. The inclusion of such a dependence of the reduced mass in the potential regularization improves the spin-spin splittings of -J/ and - 
(1S) . The spin-orbit and tensor force interactions in the Breit potential lead to the splittings of 
, 
, and 
.
PACS: 12.39.Jh Nonrelativistic quark model – / 12.39.-x Phenomenological quark models – / 14.40.-n Mesons –
© SIF, Springer-Verlag Berlin Heidelberg, 2009
