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

Klein, Rebecca; Mannel, Thomas; Shahriaran, Farnoush; van Dyk, Danny (2015). $1/m$ Corrections for Orbitally Excited Heavy Mesons and the $1/2$ - $3/2$ Puzzle. Physical Review D (Particles, Fields, Gravitation and Cosmology), 91:094034.

## 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 $B \to D^{**} \ell \bar{\nu}$ and the strong $D^{**}$ decays.

## 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 $B \to D^{**} \ell \bar{\nu}$ and the strong $D^{**}$ decays.

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