$1/m$ 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.

9 pages, 3 figures

References in corpus (1)

• Observation of new resonances decaying to $D\pi$ and $D^{\ast }\pi$ in inclusive $e^{+}{e}^{-}$ collisions near $\sqrt{s}=$10.58 GeV

Cited by in corpus (3)

• Semileptonic and leptonic $B$ decays, circa 2016
• $B\to D_1(2420)$ and $B\to D_1^{\prime }(2430)$ form factors from QCD light-cone sum rules
• The solution to the `$1/2$ vs $3/2$' puzzle