Proton Strangeness form Factors in (4,1) Clustering Configuration

Abstract

We reexamine a recent result within a nonrelativistic constituent quark model which maintains that the ${uuds\bar s}$ component in the proton has its uuds subsystem in P state, with its ${\bar s}$ in S state (configuration I). When the result are corrected, contrary to the previous result, we find that all the empirical signs of the form factors data can be described by the lowest-lying ${uuds\bar s}$ configuration with ${\bar s}$ in P state that has its uuds subsystem in S state (configuration II). Further, it is also found that the removal of the center-of-mass motion of the clusters will enhance the contributions of the transition current considerably. We also show that a reasonable description of the existing form factors data can be obtained with a very small probability ${P_{s\bar s}=0.025}$% for the ${uuds\bar s}$ component. We further see that the agreement of our prediction with the data for ${G_A^s}$ at low-q ² region can be markedly improved by a small admixture of configuration I. It is also found that by not removing CM motion, ${P_{s\bar s}}$ would be overestimated by about a factor of four in the case when transition dominates over direct currents. Then, we also study the consequence of a recent estimate reached from analyzing the existing data on quark distributions that ${P_{s\bar s}}$ lies between 2.4–2.9 % which would lead to a large size for the five-quark (5q) system, as well as a small bump in both ${G^s_E+\eta G^s_M}$ and ${G^s_E}$ in the region of q ² ≤ 0.1  GeV².