Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-05-05
Nucl.Phys.B776:187-257,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
77 pages. Typos corrected
Scientific paper
10.1016/j.nuclphysb.2007.03.046
We have presented a detailed study of twist-2 and twist-3 light-cone distribution amplitudes of $1^3P_1$ and $1^1P_1$ axial-vector mesons, based on QCD conformal partial wave expansion. Applying equations of motion, the twist-three two-parton light-cone distribution amplitudes can be expressed in terms of leading-twist and twist-three three-parton light-cone distribution amplitudes. The relevant G-parity invariant and violating parameters, containing the corrections due to the SU(3) breaking effects, are evaluated from the QCD sum rule method. The results for axial-vector decay constants of $1^3P_1$ states are presented. The values of tensor decay constants and Gegenbauer moments of the leading twist distribution amplitudes for $1^1P_1$ states are updated. Using Gell-Mann-Okubo mass formula, the mixing angle for the $f_8$ and $f_1$ of $1^3P_1$ states is $\theta_{^3P_1}\sim 38^\circ$, and that for $h_8$ and $h_1$ of $1^1P_1$ states is $\theta_{^1P_1}\sim 10^\circ$. The detailed properties for physical states $f_1(1285), f_1(1420), h_1(1170)$, and $h_1(1380)$ are given. Assuming the mixing angle between $K_{1A}$ and $K_{1B}$ to be $\theta_K=45^\circ$ or $-45^\circ$, we also give the detailed study for $K_1(1270)$ and $K_1(1400)$. Using the conformal partial wave expansion, we obtain the models for light-cone distribution amplitudes, containing contributions up to conformal spin 9/2. It is interesting to note that some distribution amplitudes have significant asymmetric behaviors, which should be phenomenologically attractive.
No associations
LandOfFree
Light-Cone Distribution Amplitudes of Axial-vector Mesons does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Light-Cone Distribution Amplitudes of Axial-vector Mesons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Light-Cone Distribution Amplitudes of Axial-vector Mesons will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-28444