Recent experimental data on the weak phenomena, especially the rise of the cross section induced by v, strongly suggest the existence of the right-handed coupling for u-quark. These are naturally explained by the vectorlike theory. We proposed, in a previous paper, a new vectorlike model which can explain the various weak phenomena by a new mixing angle, and determined all parameters. The purpose of this paper is to show the results of the detailed calculations in our model and to refine the parameters. It is also shown that the hadronic neutral current is more favorable in our model than the ones without the new m1xmg. This suggests the existence of the right-handed doublets like (u, b) R· However, the models with (u, b) R seem to give the larger ratio than the present data. Moreover, the data for the dimuon events, observed by HPWF 21 and Cal-Tech-Fermilab (CITF) 31 groups, indicate that the production of b-quark by D does not contribute dominantly to the dimuon events. Experimental data also indicate that there is no evidence for the existence of the doublet (c, dh, which gives the increase of v-induced total cross section at lower energies. The right-handed doublets are naturally introduced in the framework of the vectorlike model,1 where the number of the right-handed multiplets is equal to that of the left-handed ones. Furthermore, the vectorlike models have many inter esting properties theoretically. For example, they do not have the Adler anom alies. The left-right asymmetry in nature is naturally understood to be caused by the spontaneous breakdown of the symmetry. Stimulated by these properties, we have proposed, m a previous paper, 51 a new vectorlike model which has a new mixing angle between quarks in a right handed doublet and a singlet to account for the newly observed v and D experi mental data. Our model is described as follows: