Using Heavy Quark Effective Theory with non-perturbatively determined parameters in a quenched lattice calculation, we evaluate the splittings between the ground state and the first two radially excited states of the $B_s$ system at static order. We also determine the splitting between first excited and ground state, and between the $B_s^*$ and $B_s$ ground states to order $1/m_b$. The Generalized Eigenvalue Problem and the use of all-to-all propagators are important ingredients of our approach.
Bibliographical note(1+18) pages, 3 figures (4 pdf files); pdflatex; v2: corrections to table 1, results unaffected
Blossier, B., Morte, M. D., Garron, N., Hippel, G. V., Mendes, T., Simma, H., & Sommer, R. (2010). HQET at order $1/m$: II. Spectroscopy in the quenched approximation. JHEP. https://doi.org/10.1007/JHEP05(2010)074