Polarized structure function $g_2$ in the CM bag model

Abstract

The spin-dependent structure functions $g_1(x)$, $g_2(x)$, ${g}_2^{WW}(x)$ and ${\bar g}_2(x)$ and their moments are studied in the CM bag model. The results show that (i) $\int_0^1g_2(x)dx=0$, i.e. the Burkhardt-Cottingham sum rule holds, hence $g_2(x)$ must have at least one non-trivial zero besides $x=0$ and $x=1$. (ii) $\int_0^1x^2g_2(x)dx$ is negative for the proton, neutron and deuteron. (iii) $\int_0^1x^2g_2(x)dx$ is about one order of magnitude smaller than $\int_0^1x^2g_1(x)dx$, hence the twist-3 matrix element is approximately equal to the twist-2 matrix element. The results are compared with most recent data and predictions from the MIT bag model, lattice QCD and QCD sum rules.

29 pages, revtex, uses epsfig.sty, 12 ps figures included