Tensor form factors ofP→P,S,VandAtransitions within standard and covariant light-front approaches

Abstract：

We investigate the tensor form factors of $ P\to P,\,S,\,V $ , and Atransitions within the standard light-front (SLF) and the covariant light-front (CLF) quark models (QMs). The self-consistency and Lorentz covariance of CLF QM are analyzed via these quantities, and the effects of zero-mode are discussed. For the $ P\to V $ and Atransitions, besides the inconsistency between the results extracted via longitudinal and transverse polarization states, which is caused by the residual $ \omega $ -dependent spurious contributions, we find and analyze a “novel” self-consistence problem of the traditional CLF QM, caused by different strategies for dealing with the trace term in CLF matrix element. A possible solution to the problems of traditional CLF QM is discussed and confirmed numerically. Finally, the theoretical predictions for the tensor form factors of some $ c\to q,\,s $ and $ b\to q,\,s\,,c $ ( $ q = u,d $ ) induced $ P\to P,\,S,\,V $ and Atransitions are updated within the CLF QM with a self-consistent scheme.