Abstract
Abstract We calculate the strong form factors and coupling constants of D ∗ D s K and D s ∗ D K vertices using the QCD sum rules technique. In each case we have considered two different cases for the off-shell particle in the vertex: the lightest meson and one of the heavy mesons. The method gives the same coupling constant for each vertex. When the results for different vertices are compared, they show that the SU(4) symmetry is broken by around 40%.
Highlights
We calculate the strong form factors and coupling constants of D∗DsK and Ds∗DK vertices using the QCD sum rules technique
In this work we study the D∗DsK and Ds∗DK vertices, which are fundamental to the evaluation of the dissociation cross section of J/Ψ by kaons when using effective Lagrangians
The dissociation of charmoniums in the quark-gluon plasma (QGP) due to color screening would lead to a reduction of its production in such collisions
Summary
K meson off-shell, our numerical results can be parametrized by an exponencial function (dotted line in Fig. 4): 2.83 e−. For the K off-shell case the resulting coupling constant is: gD(K∗)DsK = 3.01. Comparing the results in Eqs.(12) and (14) we see that the method used to extrapolate the QCDSR results in both cases, K and Ds off-shell, allows us to extract values for the coupling constant which are in very good agreement with each other. This procedure give us uncertainties in such a way that the final results for we the couplings study the Ds∗.
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