Twisted mass lattice computation of charmed mesons with focus on $D^{\ast \ast}$

TL;DR

This study uses twisted mass lattice QCD to compute the spectrum of D and D_s mesons, focusing on positive parity states and their internal angular momentum classifications, providing detailed insights into charmed meson properties.

Contribution

It introduces a lattice QCD approach to distinguish and classify positive parity D meson states based on their internal angular momentum configurations.

Findings

Computed masses of D, D_s, and charmonium states.

Successfully separated and classified the two J^P=1^+ states.

Provided detailed spectrum data for positive parity D mesons.

Abstract

We present results of a 2+1+1 flavor twisted mass lattice QCD computation of the spectrum of $D$ mesons and $D_s$ mesons and of charmonium. Particular focus is put on the positive parity $D$ states (so-called $D^{\ast \ast}$ mesons) with quantum numbers $J^P = 0^+$, $1^+$ and $2^+$. Besides computing their masses we are also separating and classifying the two $J^P = 1^+$ states according to the angular momentum/spin of their light degrees of freedom (light quarks and gluons) $j =1/2, 3/2$.