IMPLICATIONS OF FACTORIZATION FOR THE DETERMINATION OF HADRONIC FORM-FACTORS IN D-S(-]PHI TRANSITION())

Using factorization we determine the allowed domains of the ratios of form factors, x = A(2)(0)/A(1)(0) and y = V(0)/A(1)(0), from the exper imentally measured ratio R(h) = Gamma(D-s(+) --> phi rho(+))/Gamma(D-s (+) --> phi pi(+)) assuming three different scenarios for the q(2)-dep endence of the form factors. We find that the allowed domains overlap with those obtained by using the experimentally measured ratio R(sl) = Gamma(D-s(+) --> phi l(+)nu(l))/Gamma(D-s(+) --> phi pi(+)) provided that the phenomenological parameter alpha(1) is 1.23. Such a compariso n presents a genuine test of factorization. We calculate the longitudi nal polarization fraction, Gamma(L)/Gamma = Gamma(D-s(+) --> phi(L) rh o(L)(+))/Gamma(D-s(+) --> phi rho(+)), in the three scenarios for the q(2)-dependence of the form factors and emphasize the importance of me asuring Gamma(L)/Gamma. Finally we discuss the q(2)-distribution of th e semileptonic decay and find that it is rather insensitive to the sce narios for the q(2)-dependence of the form factors, and unless very ac curate data can be obtained it is unlikely to discriminate between the different scenarios. Useful information on the value of x might be ob tained by the magnitude of the q(2)-distribution near q(2) = 0. Howeve r the most precise information on x and y would come from the knowledg e of the longitudinal and left-right transverse polarizations of the f inal vector mesons in hadronic and/or semileptonic decays.