Axialvector $D_1$ hadrons in $D^\ast\pi$ scattering from QCD
Abstract
We present $I=1/2$ $D^\ast\pi$ scattering amplitudes from lattice QCD and determine two lowlying $J^P=1^+$ axialvector $D_1$ states and a $J^P=2^+$ tensor $D_2^\ast$. Computing finitevolume spectra at a lightquark mass corresponding to $m_\pi=391$ MeV, for the first time, we are able to constrain coupled $J^P=1^+$ $D^\ast\pi$ amplitudes with $^{2S+1}\ell_J\,=\,^3S_1$ and $^3\!D_1$ as well as coupled $J^P=2^+$ $D\pi\{^1\!D_2\}$ and $D^\ast\pi \{^3\!D_2\}$ amplitudes via Lüscher's quantization condition. Analyzing the scattering amplitudes for poles we find a nearthreshold bound state, producing a broad feature in $D^\ast\pi\{^3\!S_1\}$. A narrow bump occurs in $D^\ast\pi\{^3\!D_1\}$ due to a $D_1$ resonance. A single resonance is found in $J^P=2^+$ coupled to $D\pi$ and $D^\ast\pi$. A relatively low mass and large coupling is found for the lightest $D_1$, suggestive of a state that will evolve into a broad resonance as the light quark mass is reduced. An earlier calculation of the scalar $D_0^\ast$ using the same lightquark mass enables comparisons to the heavyquark limit.
 Publication:

arXiv eprints
 Pub Date:
 May 2022
 arXiv:
 arXiv:2205.05026
 Bibcode:
 2022arXiv220505026L
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Lattice
 EPrint:
 7+6 pages, 3+3 figures