New effective treatment of the light-front nonvalence contribution in timelike exclusive processes

Abstract

We discuss a necessary nonvalence contribution in timelike exclusive processes. Following a Schwinger-Dyson type of approach, we relate the nonvalence contribution to an ordinary light-front wave function that has been extensively tested in the spacelike exclusive processes. A complicate four-body energy denominator is exactly cancelled in summing the light-front time-ordered amplitudes. Applying our method to $K_{\ell 3}$ and $D^0\to K^{-}{\ell }^{+}{\nu }_l$ where a rather substantial nonvalence contribution is expected, we find not only an improvement in comparing with the experimental data but also a covariance(i.e. frame-independence) of existing light-front constituent quark model.

Comments: 10 pages including 5 figures; Changes: 1-added some sentences; 2-enlarged the figures; 3-added some references