We determine the energies of the excited states of a heavy-light meson with a static heavy quark and light quark with mass approximately that of the strange quark from both quenched lattices and with dynamical fermions. We are able to explore the energies of orbital excitations up to the spin-orbit splitting up to and the first radial excitation. These mesons will be very narrow if their mass is less than 5775 MeV—the BK threshold. We investigate this in detail and present evidence that the scalar meson will be very narrow and that altogether 6 excited states will have energies close to the BK threshold and all will be relatively narrow.
- Received 5 December 2003
- Published 18 May 2004
© 2004 The American Physical Society