Structure functions of proton and deuteron

Abstract

RIORDAI~ et al. (i) have analysed the two structure functions of proton based on their measured result for scattered electrons at laboratory angles of 15, 18 19, 26 and 34 degrees from e-p reactions. The Bjorken (Bj) scaling and its degree of breaking have been tested extensively. They also tabulated the data for e-D interactions of similar experiments using the 8 GeV spectrometer. ATWOOD (3) has measured W1 functions of proton and deuteron for scattered electrons at 50 and 60 degrees and performed the analysis of proton W1 function. He used 1.6 GeV spectrometer in his experiment. By combining these two independent experiments the range of the Bj-variable is covered from 0.1 to 0.9 and from 0.1 to 0.8 for the structure functions F 1 and F~, respectively. The purpose of this paper is to look for the appropriate parametrization of structure functions of both proton and deuteron so as to satisfy the joined data of the above-mentioned experiments and several necessary requirements. These last conditions include the extrapolation of either Bj or Bloom-Gilman (BG) variables to their min-max values and other theoretical considerations. The minimum scale breaking obtains for the F~ function of the deuteron in case of the BG variable. The significance of our approach was discussed in connection with the relevant problems. As a by-product we also estimate the quark-proton reaction cross-section, following West 's approach (s). The best fit admits the zero quark mass, bu t with a large ehi-square. The u(d)-p cross-section thus determined seems to be supported by the observed pp total cross-section (4).