Vertex functions for d-wave mesons in the light-front approach

Details Vertex functions for d-wave mesons in the light-front approach Vertex functions for d-wave mesons in the light-front approach

2011-04-20

arxiv.org/abs/1104.3996v3

Eur. Phys. J. C (2011) 71:1776

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 2 figures, some typos corrected and more discussions added. Accepted by EPJC

Scientific paper

10.1140/epjc/s10052-011-1776-1

While the light-front quark model (LFQM) is employed to calculate hadronic transition matrix elements, the vertex functions must be pre-determined. In this work we derive the vertex functions for all d-wave states in this model. Especially, since both of $^3D_1$ and $^3S_1$ are $1^{--}$ mesons, the Lorentz structures of their vertex functions are the same. Thus when one needs to study the processes where $^3D_1$ is involved, all the corresponding formulas for $^3S_1$ states can be directly applied, only the coefficient of the vertex function should be replaced by that for $^3D_1$. The results would be useful for studying the newly observed resonances which are supposed to be d-wave mesons and furthermore the possible 2S-1D mixing in $\psi'$ with the LFQM.

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