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We reexamine, within the nonrelativistic constituent quark model (NRCQM), arecent claim that the current data on the strangeness form factors indicatesthat the uuds\bar{s} component in the proton is such that the uuds subsystemhas the mixed spatial symmetry [31]_X and flavor spin symmetry[4]_{FS}[22]_F[22]_S, with \bar{s} in S state (configuration I). We find thisclaim to be invalid if corrected expressions for the contributions of thetransition current to G_A^s and G_E^s are used. We show that, instead, it isthe lowest-lying uuds\bar{s} configuration with uuds subsystem of completelysymmetric spatial symmetry [4]_X and flavor spin symmetry [4]_{FS}[22]_F[22]_S,with \bar{s} in P state (configuration II), which could account for theempirical signs of all form factors G_E^s, G_M^s, and G_A^s. Further, we findthat removing the center-of-mass motion of the clusters will considerablyenhance the contributions of the transition current. We also demonstrate thatit is possible to give a reasonable description of the existing form factorsdata with a tiny probability P_{s\bar{s}}=0.025% for the uuds\bar{s} component.We further see that with a small admixture of configuration I, the agreement ofour prediction with data for G_A^s at low-q^2 region can be markedly improved.We find that without removing CM motion, P_{s\bar{s}} would be overestimated byabout a factor of four in the case when transition current dominates. We alsoexplore the consequence of a recent estimate reached from analyzing existingdata on \bar{d} -\bar{u}, s +\bar{s}, and \bar{u} + \bar{d} - s -\bar{s}, thatP_{s\bar{s}} lies between 2.4-2.9%. It would lead to a large size for thefive-quark system and a small bump in both G_E^s+\eta G_M^s and G_E^s in theregion of q^2<=0.1 GeV^2 within the considered model.

The strangeness form factors of the proton within nonrelativistic constituent quark model revisited