$1/m$ Corrections for Orbitally Excited Heavy Mesons and the $1/2$ - $3/2$ Puzzle

Abstract

We re-investigate the effects of the $1/m_c$ corrections on the spectrum of the lowest orbitally excited $D$-meson states. We argue that one should expect the $1/m_c$ corrections to induce a significant mixing between the two lowest lying $1^{+}$ states. We discuss the implications of this mixing and compute its effect on the semileptonic decays $B\to D^{\ast \ast }\ell \bar{\nu }$ and the strong $D^{\ast \ast }$ decays.

Comments: 9 pages, 3 figures