Regularization of Breit Potential and Splitting of ηc-J/ψ
doi: 10.11804/NuclPhysRev.26.04.294
- Received Date: 1900-01-01
- Rev Recd Date: 1900-01-01
- Publish Date: 2009-12-20
Abstract: The study of the splittings between the masses of mesons with different spin and orbit quantum numbers is important for checking the quark potential model. In the previous calculations with quark potential models, the splitting between ηc and J/ψ is however too small to the experimental result. In this paper the mass splitting of ηcJ/ψ and the splitting between the new
meson ηb and Υ(1s) are investigated with the complete Breit quark potential regularized by applying the form factor μ2/(q2+μ2) one time in momentum space. In addition, because the complete Breit potential includes the spinorbit interaction, it can be used to investigate the splittings among χc0, χc1
and χc2. The investigated results indicate that the screen mass μ in the form factor of regularization is related to the reduced mass of meson.
The splittings of ηc-J/ψ, ηbΥ, and χc0χc1χc2 can reproduce the experimental results with high accuracy when the screen mass is expanded to the thirdorder polynomial of meson reduced mass.
Citation: | JIRIMUTU. Regularization of Breit Potential and Splitting of ηc-J/ψ[J]. Nuclear Physics Review, 2009, 26(4): 294-299. doi: 10.11804/NuclPhysRev.26.04.294 |