Dowdall, R.J., Davies, C.T.H. , Hammant, T. and Horgan, R.R. (2014) Bottomonium hyperfine splittings from lattice nonrelativistic QCD including radiative and relativistic corrections. Physical Review D, 89, 031502(R). (doi: 10.1103/PhysRevD.89.031502)
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Abstract
We present a calculation of the hyperfine splittings in bottomonium using lattice nonrelativistic QCD. The calculation includes spin-dependent relativistic corrections through O(v6), radiative corrections to the leading spin-magnetic coupling and, for the first time, nonperturbative effects of four-quark operators which enter at α2sv3. We also include the effect of u, d, s and c quark vacuum polarization. Our result for the 1S hyperfine splitting is MΥ(1S)−Mηb(1S)=62.8(6.7) MeV. We find the ratio of 2S to 1S hyperfine splittings (MΥ(2S)−Mηb(2S))/(MΥ(1S)−Mηb(1S))=0.425(25).
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Davies, Professor Christine |
| Authors: | Dowdall, R.J., Davies, C.T.H., Hammant, T., and Horgan, R.R. |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Journal Name: | Physical Review D |
| Publisher: | American Physical Society |
| ISSN: | 1550-7998 |
| ISSN (Online): | 1550-2368 |
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